Stats analysis and a paper

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20160504060254example.xlsx
Home>Mathematics homework help>Numerical analysis homework help>Stats analysis and a paper

Data

quantity price income compp pop subp labor cheese pop1000 inc1000 lnq lnp lni lncp lnpop lnsubp lnl lnc
982.1076049805 12.3450155258 50152.8359375 10.2253665924 45431.60546875 11.1112661362 13.9507322311 2.028191328 45.4316062927 50.1528358459 6.8897008896 2.5132524967 10.8228302002 2.3248715401 10.7239637375 2.4079594612 2.6355319023 0.7071444392
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1463.3895263672 12.0997076035 50480.96875 10.4844760895 46430.6796875 11.796377182 13.6934022903 1.9296030998 46.4306793213 50.4809684753 7.2885107994 2.4931812286 10.8293514252 2.3498957157 10.745716095 2.467792511 2.6169140339 0.6573143601
1229.9116210938 13.0429363251 49208.01953125 10.5162649155 45683.53515625 11.8868293762 13.9613323212 2.0279605389 45.6835365295 49.2080192566 7.1146974564 2.568246603 10.803812027 2.3529231548 10.7294931412 2.4754309654 2.6362915039 0.707030654
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1352.0555419922 11.9741249084 50053.1640625 10.4953584671 45971.875 12.9456853867 13.9973325729 1.9951771498 45.9718742371 50.0531654358 7.2093811035 2.4827480316 10.8208408356 2.350933075 10.7357854843 2.5607626438 2.638866663 0.6907328367
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1210.3387451172 12.8771333694 51000.34765625 10.3313236237 45731.3359375 11.7332649231 13.6888017654 1.9571700096 45.7313346863 51.0003471375 7.0986557007 2.5554530621 10.8395881653 2.335180521 10.7305393219 2.4624278545 2.6165781021 0.6714995503
1373.353515625 11.5751466751 49822.84765625 9.7614765167 45737.44921875 11.1254358292 13.8635721207 1.9847701788 45.737449646 49.8228492737 7.2250108719 2.4488601685 10.8162288666 2.2784435749 10.7306728363 2.4092340469 2.6292645931 0.6855031252
1236.0177001953 11.9090604782 50173.40234375 10.2223110199 45581.421875 11.8048591614 13.9119710922 1.9603874683 45.5814208984 50.1734008789 7.1196498871 2.4772994518 10.8232402802 2.3245728016 10.7272558212 2.468511343 2.6327497959 0.6731421351
1294.8673095703 12.2748537064 50187.9453125 9.869011879 44806.5390625 11.4487495422 14.1933307648 2.0802795887 44.8065376282 50.1879463196 7.1661634445 2.5075528622 10.8235301971 2.2893996239 10.7101097107 2.4378805161 2.6527721882 0.7325022817
1458.541015625 12.0170974731 50431.15625 9.9765501022 45462.0546875 12.0748701096 14.1576910019 2.0541872978 45.4620552063 50.4311561584 7.2851920128 2.4863305092 10.8283643723 2.3002374172 10.7246332169 2.4911265373 2.6502580643 0.7198802829
1297.6856689453 11.9926319122 50317.62109375 10.355550766 45529.85546875 11.3415699005 13.7616786957 1.9959886074 45.5298538208 50.3176193237 7.168337822 2.4842925072 10.8261108398 2.3375227451 10.7261238098 2.4284746647 2.6218879223 0.6911394596
1337.2447509766 11.7529211044 49701.1640625 10.1954450607 45510.0859375 11.8027467728 13.9347009659 1.9205278158 45.5100860596 49.7011642456 7.198366642 2.4641017914 10.8137836456 2.3219411373 10.7256889343 2.4683322906 2.6343822479 0.65260005
1050.390625 13.6818342209 50421.921875 10.2159347534 45374.55859375 12.7353019714 14.0991020203 2.0585205555 45.3745574951 50.4219207764 6.9569172859 2.6160690784 10.8281812668 2.3239486217 10.7227067947 2.5443778038 2.6461110115 0.7219875455
1202.2806396484 11.9856739044 49525.90625 10.7786502838 45563.50390625 10.9586515427 14.0410337448 2.0495972633 45.5635032654 49.5259056091 7.0919756889 2.4837121964 10.810251236 2.3775672913 10.7268619537 2.3941292763 2.6419839859 0.7176433206
1126.9892578125 12.7523393631 49775.09375 10.6326208115 45632.15234375 11.9070892334 13.9139566422 2.0619781017 45.6321525574 49.7750930786 7.0273051262 2.5457146168 10.8152704239 2.3639266491 10.7283678055 2.4771339893 2.6328923702 0.7236657739
1286.3848876953 12.4662847519 49720.6875 10.1629953384 46005.13671875 12.1592550278 14.0558433533 2.0309016705 46.0051383972 49.7206878662 7.159591198 2.5230278969 10.8141765594 2.3187532425 10.7365083694 2.4980905056 2.6430382729 0.7084798813
1168.7684326172 12.5198640823 49606.44140625 10.5824203491 45154.50390625 11.8127670288 13.8608598709 1.9314986467 45.1545028687 49.6064414978 7.0637059212 2.5273165703 10.811876297 2.3591942787 10.7178449631 2.4691808224 2.6290690899 0.6582962275
1000.7114257813 12.7429552078 49736.484375 10.78789711 45700.30078125 11.2774324417 14.0530653 2.0533897877 45.700302124 49.7364845276 6.9084663391 2.5449786186 10.814494133 2.3784248829 10.7298603058 2.4228036404 2.6428406239 0.7194919586
1179.2163085938 12.901222229 49909.98828125 10.4349679947 45759.09765625 12.0791034698 14.0456733704 2.0030488968 45.759098053 49.9099884033 7.0726051331 2.5573220253 10.8179759979 2.3451623917 10.7311458588 2.4914770126 2.6423144341 0.6946704388
1126.416015625 12.7932882309 50113.55859375 10.2916202545 45663.44140625 12.2801113129 14.0904874802 2.0740330219 45.6634407043 50.1135597229 7.0267963409 2.5489206314 10.8220472336 2.331330061 10.7290534973 2.5079810619 2.6454999447 0.7294950485
1211.8642578125 12.602350235 50614.8984375 10.6558218002 45747.11328125 12.2220020294 13.8700761795 2.054012537 45.7471122742 50.6148986816 7.0999150276 2.5338833332 10.8320016861 2.3661062717 10.7308835983 2.5032377243 2.6297338009 0.7197952271
1293.1060791016 12.2644147873 49431.27734375 10.598449707 45947.61328125 12.5623512268 13.9212474823 2.0103931427 45.9476127625 49.4312782288 7.1648025513 2.5067019463 10.808339119 2.3607077599 10.7352571487 2.5307042599 2.6334161758 0.6983302832
1441.509765625 11.5159301758 51036.06640625 10.4771432877 44943.23828125 12.0478229523 13.800743103 1.9833190441 44.9432373047 51.0360679626 7.2734460831 2.443731308 10.8402881622 2.3491959572 10.7131557465 2.4888839722 2.6247224808 0.6847717166
1394.7828369141 11.809841156 50402.953125 10.1431102753 45717.765625 11.723950386 14.4272117615 2.0031318665 45.7177658081 50.4029541016 7.2404937744 2.4689331055 10.8278055191 2.3167946339 10.7302417755 2.4616336823 2.6691160202 0.694711864
1355.2021484375 12.0600814819 50473.90234375 10.3672542572 45610.171875 11.1840705872 14.0037183762 1.985245347 45.6101722717 50.473903656 7.2117056847 2.4899010658 10.829211235 2.3386521339 10.7278862 2.4144904613 2.6393229961 0.6857424974
1072.4766845703 12.9668750763 49043.91015625 10.9687137604 46496.1015625 12.5098152161 14.2448444366 2.0062556267 46.4961013794 49.0439109802 6.9777259827 2.5623979568 10.8004713058 2.3950469494 10.7471237183 2.5265135765 2.6563949585 0.6962701082
1198.7109375 12.6632518768 49758.94140625 10.1324501038 45032.81640625 11.8247528076 14.0633735657 2.017745018 45.0328178406 49.7589416504 7.0890021324 2.5387041569 10.8149452209 2.3157432079 10.7151470184 2.470195055 2.643573761 0.7019805312
1299.6870117188 12.5790109634 50036.70703125 10.1651287079 45774.6328125 11.5392856598 14.1434249878 1.9550508261 45.7746315002 50.0367088318 7.1698789597 2.5320296288 10.8205118179 2.3189630508 10.7314853668 2.4457573891 2.6492497921 0.6704161763
1083.2694091797 12.5744047165 49715.8671875 10.2128658295 46072.37109375 11.9965581894 13.8988056183 2.0086936951 46.0723724365 49.7158660889 6.9877390862 2.5316634178 10.8140792847 2.3236482143 10.7379684448 2.4846198559 2.6318027973 0.6974846125
1102.2115478516 13.2425537109 50190.37890625 10.1474685669 45727.73828125 12.0987129211 14.2833452225 1.9663943052 45.7277374268 50.1903800964 7.0050740242 2.583435297 10.8235788345 2.3172242641 10.7304601669 2.4930989742 2.6590940952 0.676201582
1214.0192871094 12.4580316544 50113.04296875 10.2440547943 45545.52734375 12.1710586548 14.2023143768 2.0611774921 45.5455284119 50.1130447388 7.1016917229 2.5223655701 10.8220367432 2.326697588 10.7264680862 2.4990608692 2.6534049511 0.72327739
1084.8328857422 12.9118032455 50078.1953125 10.6040639877 45950.94140625 11.543674469 14.1881732941 2.0412774086 45.9509429932 50.0781936646 6.9891810417 2.5581419468 10.8213405609 2.3612372875 10.735329628 2.4461376667 2.6524088383 0.7135757804
1143.2603759766 12.6447715759 50355.6171875 10.152841568 45720.2578125 11.3226108551 13.9633960724 2.0642938614 45.7202568054 50.3556175232 7.041639328 2.5372438431 10.8268651962 2.3177535534 10.7302970886 2.4268016815 2.6364393234 0.7247881889
1279.0670166016 11.8704996109 49919.8359375 10.4453191757 45620.63671875 11.7704877853 14.1258916855 2.0436182022 45.6206359863 49.919834137 7.1538863182 2.4740562439 10.8181734085 2.3461539745 10.7281150818 2.4655952454 2.6480093002 0.7147218585
1385.5654296875 12.0818567276 50294.78515625 10.6442975998 45938.24609375 11.7568969727 14.1230735779 2.0197534561 45.9382476807 50.2947845459 7.2338633537 2.4917049408 10.8256568909 2.3650243282 10.7350530624 2.4644401073 2.6478099823 0.7029754519
1206.1624755859 11.8428173065 50115.84765625 10.2592687607 45722.74609375 11.2854070663 13.8444852829 1.9966454506 45.7227478027 50.1158485413 7.0951991081 2.4717216492 10.8220930099 2.3281815052 10.7303514481 2.4235105515 2.6278870106 0.6914684772
1388.5847167969 11.8459882736 50559.58203125 9.9777650833 45660.81640625 11.7693605423 14.064663887 1.9246263504 45.6608161926 50.5595817566 7.2360401154 2.4719891548 10.8309078217 2.3003590107 10.7289962769 2.4654996395 2.6436655521 0.6547318697
1144.2102050781 12.1044044495 50811.23046875 10.3054933548 45800.43359375 12.0769519806 14.1795434952 1.9538168907 45.8004341125 50.8112297058 7.0424699783 2.4935693741 10.8358726501 2.3326771259 10.7320489883 2.491298914 2.6518003941 0.6697848439
1268.9896240234 12.3175935745 50915.578125 10.0141210556 45629.1875 11.0916032791 13.799036026 2.0106871128 45.6291885376 50.9155769348 7.1459760666 2.5110285282 10.8379240036 2.3039960861 10.7283029556 2.4061882496 2.6245987415 0.6984764934
1332.59375 11.2296142578 50045.82421875 10.2558965683 46117.29296875 11.1610012054 13.9876260757 1.9931260347 46.1172943115 50.0458259583 7.1948823929 2.418554306 10.8206939697 2.327852726 10.7389431 2.4124257565 2.6381731033 0.689704299
1324.8355712891 12.1176815033 50129.671875 10.2338018417 45699.23828125 11.2944641113 13.9543104172 1.923358202 45.6992378235 50.1296730042 7.1890435219 2.4946656227 10.8223686218 2.3256962299 10.7298364639 2.4243125916 2.6357884407 0.6540727019

Charts

quantity price quantity income price compp price subp price labor price cheese
982.1076049805 12.3450155258 982.1076049805 50152.8359375 12.3450155258 10.2253665924 12.3450155258 11.1112661362 12.3450155258 13.9507322311 12.3450155258 2.028191328
1267.6099853516 11.9463376999 1267.6099853516 50311.06640625 11.9463376999 10.8434724808 11.9463376999 11.5821666718 11.9463376999 13.845785141 11.9463376999 1.9910224676
1463.3895263672 12.0997076035 1463.3895263672 50480.96875 12.0997076035 10.4844760895 12.0997076035 11.796377182 12.0997076035 13.6934022903 12.0997076035 1.9296030998
1229.9116210938 13.0429363251 1229.9116210938 49208.01953125 13.0429363251 10.5162649155 13.0429363251 11.8868293762 13.0429363251 13.9613323212 13.0429363251 2.0279605389
1120.166015625 13.1354808807 1120.166015625 49884.12109375 13.1354808807 10.3832073212 13.1354808807 11.499753952 13.1354808807 13.9053735733 13.1354808807 2.0202157497
1352.0555419922 11.9741249084 1352.0555419922 50053.1640625 11.9741249084 10.4953584671 11.9741249084 12.9456853867 11.9741249084 13.9973325729 11.9741249084 1.9951771498
1165.9859619141 12.3281431198 1165.9859619141 50425.05859375 12.3281431198 10.8106184006 12.3281431198 12.0879230499 12.3281431198 13.9367237091 12.3281431198 1.9993021488
1011.8641357422 12.9902687073 1011.8641357422 49987.15625 12.9902687073 10.8315753937 12.9902687073 12.4810009003 12.9902687073 14.0512933731 12.9902687073 1.9130152464
1138.4561767578 12.6029129028 1138.4561767578 49967.86328125 12.6029129028 10.0169811249 12.6029129028 11.6693782806 12.6029129028 13.8780088425 12.6029129028 1.9720745087
1305.6673583984 12.0831079483 1305.6673583984 50899.8515625 12.0831079483 10.0729627609 12.0831079483 11.6187324524 12.0831079483 13.9643287659 12.0831079483 2.017739296
1396.0900878906 11.6434831619 1396.0900878906 50404.55078125 11.6434831619 10.2579460144 11.6434831619 12.0075359344 11.6434831619 13.8746299744 11.6434831619 1.9643882513
1030.5556640625 12.5655908585 1030.5556640625 49670.7578125 12.5655908585 10.303606987 12.5655908585 10.723282814 12.5655908585 13.8724336624 12.5655908585 2.0616531372
1349.7445068359 11.540971756 1349.7445068359 49962.08984375 11.540971756 10.4645662308 11.540971756 11.6297826767 11.540971756 13.8593358994 11.540971756 1.9726637602
1287.8037109375 12.2964954376 1287.8037109375 50226.8671875 12.2964954376 10.4373874664 12.2964954376 11.7554330826 12.2964954376 13.8655519485 12.2964954376 2.004253149
1287.7315673828 12.3268947601 1287.7315673828 49618.72265625 12.3268947601 10.4923858643 12.3268947601 11.5305786133 12.3268947601 13.9464321136 12.3268947601 2.0494234562
1088.5754394531 12.2581062317 1088.5754394531 50458.49609375 12.2581062317 10.0428104401 12.2581062317 11.097495079 12.2581062317 14.1931238174 12.2581062317 1.9804975986
1360.9445800781 11.6504087448 1360.9445800781 49232.6484375 11.6504087448 10.3509702682 11.6504087448 11.3777294159 11.6504087448 13.7588739395 11.6504087448 1.9386667013
960.1171875 13.5748376846 960.1171875 49783.6796875 13.5748376846 10.2321205139 13.5748376846 12.1632137299 13.5748376846 13.7582931519 13.5748376846 1.9512963295
1404.0959472656 11.6463384628 1404.0959472656 49591.74609375 11.6463384628 10.5007600784 11.6463384628 11.753695488 11.6463384628 13.9093236923 11.6463384628 2.0527956486
1141.9903564453 12.8019571304 1141.9903564453 50446.52734375 12.8019571304 10.4361085892 12.8019571304 12.6830768585 12.8019571304 14.2087469101 12.8019571304 2.1257886887
1107.5513916016 12.3618679047 1107.5513916016 50260.046875 12.3618679047 10.2574958801 12.3618679047 10.8469324112 12.3618679047 14.1327419281 12.3618679047 2.0220944881
1276.7239990234 12.6948060989 1276.7239990234 50850.70703125 12.6948060989 10.3274078369 12.6948060989 11.7009754181 12.6948060989 13.6930599213 12.6948060989 1.9613394737
1185.248046875 12.1595869064 1185.248046875 49525.11328125 12.1595869064 10.3058748245 12.1595869064 11.7835617065 12.1595869064 13.8971786499 12.1595869064 1.9665762186
1267.4464111328 11.841044426 1267.4464111328 50017.96484375 11.841044426 10.4418392181 11.841044426 11.6851119995 11.841044426 14.2033634186 11.841044426 2.0276098251
1330.0084228516 11.2205562592 1330.0084228516 49183.6015625 11.2205562592 10.5166511536 11.2205562592 11.0607089996 11.2205562592 14.0333118439 11.2205562592 2.0149242878
1393.4792480469 11.7323942184 1393.4792480469 49867.6171875 11.7323942184 10.4826841354 11.7323942184 11.7612571716 11.7323942184 13.9707651138 11.7323942184 1.9564768076
1201.4442138672 12.3816432953 1201.4442138672 49068.90625 12.3816432953 9.7024526596 12.3816432953 11.5329093933 12.3816432953 14.115395546 12.3816432953 1.9724763632
1128.8135986328 12.3228998184 1128.8135986328 49578.73046875 12.3228998184 10.3889131546 12.3228998184 11.4192047119 12.3228998184 13.9938392639 12.3228998184 1.9645591974
1359.1799316406 12.0516242981 1359.1799316406 49889.5625 12.0516242981 10.327796936 12.0516242981 12.1359186172 12.0516242981 14.0605163574 12.0516242981 2.0732169151
1127.5849609375 12.501203537 1127.5849609375 50194.4453125 12.501203537 10.5122070313 12.501203537 12.489443779 12.501203537 14.1078691483 12.501203537 2.0314302444
1129.4107666016 12.394244194 1129.4107666016 49116.328125 12.394244194 10.1231479645 12.394244194 11.2310609818 12.394244194 14.1556100845 12.394244194 2.018851757
1341.2917480469 11.7456159592 1341.2917480469 49507.4375 11.7456159592 10.1324720383 11.7456159592 11.6771993637 11.7456159592 13.8930101395 11.7456159592 1.9704107046
1177.6801757813 12.7313995361 1177.6801757813 49916.93359375 12.7313995361 10.1886281967 12.7313995361 11.9697475433 12.7313995361 13.6732902527 12.7313995361 1.9959774017
1412.3991699219 11.1291599274 1412.3991699219 49572.640625 11.1291599274 10.2160301208 11.1291599274 11.1067667007 11.1291599274 13.7141342163 11.1291599274 1.9214396477
966.7486572266 12.8513870239 966.7486572266 50023.87109375 12.8513870239 10.7229251862 12.8513870239 11.4891557693 12.8513870239 13.9203615189 12.8513870239 2.0826921463
999.6157226563 12.614865303 999.6157226563 49308.22265625 12.614865303 10.5676765442 12.614865303 11.2909107208 12.614865303 14.0541954041 12.614865303 1.953961134
1172.6759033203 12.494017601 1172.6759033203 49759.58203125 12.494017601 10.7154970169 12.494017601 12.1425476074 12.494017601 13.9571113586 12.494017601 1.9528108835
1120.7783203125 13.4334592819 1120.7783203125 49952.18359375 13.4334592819 10.4889001846 13.4334592819 12.8338861465 13.4334592819 14.1613435745 13.4334592819 2.0784060955
1101.3802490234 12.1998739243 1101.3802490234 49928.40234375 12.1998739243 10.5928440094 12.1998739243 11.6667499542 12.1998739243 13.9749593735 12.1998739243 1.923540473
1119.9528808594 12.512758255 1119.9528808594 50264.17578125 12.512758255 10.6502599716 12.512758255 11.5454759598 12.512758255 13.9198284149 12.512758255 2.0160062313
1117.7269287109 12.2709083557 1117.7269287109 49461.05078125 12.2709083557 9.913561821 12.2709083557 11.4941501617 12.2709083557 13.7624502182 12.2709083557 2.0516626835
1186.1157226563 12.8831071854 1186.1157226563 49837.12890625 12.8831071854 10.4498920441 12.8831071854 12.0892696381 12.8831071854 14.5109472275 12.8831071854 2.1296033859
1171.3375244141 11.9419584274 1171.3375244141 49637.5078125 11.9419584274 9.7777528763 11.9419584274 11.4555606842 11.9419584274 14.0881748199 11.9419584274 1.9815714359
1088.5402832031 12.5218286514 1088.5402832031 49405.3671875 12.5218286514 10.0620689392 12.5218286514 10.305562973 12.5218286514 14.0187168121 12.5218286514 2.049141407
1293.8175048828 11.8973207474 1293.8175048828 49896.53515625 11.8973207474 10.3810586929 11.8973207474 12.1192722321 11.8973207474 14.1848955154 11.8973207474 1.957549572
1077.89453125 12.7503604889 1077.89453125 50262.3515625 12.7503604889 10.392539978 12.7503604889 11.2917757034 12.7503604889 14.1004981995 12.7503604889 2.0693821907
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11.972047805786101 11.9644660949707 12.0924024581909 10.7630014419556 11.8228540420532 11.6483297348022 11.0639190673828 11.2904138565063 11.4974069595337 11.5050668716431 11.248303413391101 11.362195968627899 11.8028659820557 11.295987129211399 10.8617916107178 11.4836082458496 11.9746036529541 10.938056945800801 11.840135574340801 11.856291770935099 11.033037185668899 11.325489044189499 11.1160564422607 12.361646652221699 11.671184539794901 11.654365539550801 11.9706478118896 12.2603616714478 11.3407554626465 11.718346595764199 11.1237087249756 11.506334304809601 11.6038246154785 11.426220893859901 12.174827575683601 11.7870941162109 10.988741874694799 11.9919290542603 11.664404869079601 10.9432773590088 11.304476737976101 11.3498439788818 11.8874006271362 11.3334493637085 11.444649696350099 11.6114149093628 12.9707908630371 11.6225070953369 11.6202182769775 12.116265296936 12.500446319580099 11.5022525787354 11.4682874679565 11.730248451232899 12.3727149963379 10.668511390686 11.5964803695679 11.8384189605713 11.255464553833001 11.849651336669901 11.5792751312256 11.204647064209 11.071723937988301 11.213258743286101 11.7805118560791 12.0347805023193 11.889539718627899 11.775590896606399 12.3211450576782 11.5446691513062 11.2984066009521 11.15491771698 11.8267917633057 11.7465915679932 11.313336372375501 11.850977897644 11.9817562103271 11.613317489624 11.557085037231399 11.3975057601929 11.9602556228638 13.164903640747101 11.4007110595703 11.2723531723022 11.3057460784912 11.359850883483899 11.716545104980501 12.200171470642101 11.680193901061999 11.1706552505493 11.140593528747599 12.348412513732899 11.6920528411865 11.3943328857422 11.3799781799316 12.2083654403687 11.2540121078491 12.0503492355347 11.778058052063001 12.032895088195801 12.0082111358643 11.9723224639893 11.224433898925801 12.1826581954956 11.8830308914185 11.709815025329601 11.5744409561157 11.777722358703601 12.2699928283691 10.694881439209 11.438112258911101 11.161079406738301 11.875937461853001 10.798392295837401 11.276597976684601 11.284426689147899 11.2231388092041 11.7276096343994 11.448732376098601 11.6260576248169 11.5176601409912 12.3052005767822 12.227430343627899 11.6136331558228 12.0361795425415 11.5462322235107 11.359463691711399 11.3075771331787 11.490265846252401 11.3084554672241 11.955080986022899 11.128506660461399 11.070238113403301 11.168270111084 12.296805381774901 11.863228797912599 11.8167514801025 12.6390676498413 10.6778106689453 11.1728372573853 12.3722476959229 12.1727085113525 11.5098266601563 11.4833374023438 11.872138977050801 10.8523397445679 11.653222084045399 10.7025489807129 11.1236982345581 11.0965366363525 11.52463722229 12.0562191009521 12.3463144302368 12.1711940765381 12.314180374145501 11.9215297698975 11.6278076171875 11.6949872970581 11.6185855865479 11.723442077636699 11.152095794677701 11.665904045105 11.623116493225099 12.1093196868896 12.005781173706101 12.129504203796399 11.035086631774901 12.168181419372599 11.95 4916954040501 11.8906764984131 11.985523223876999 11.0093898773193 11.772535324096699 11.0888071060181 12.2566184997559 10.471509933471699 11.7522850036621 12.143425941467299 11.1726732254028 11.190314292907701 11.4591608047485 11.180579185485801 12.390989303588899 11.4011449813843 11.050256729126 11.0560874938965 11.018542289733899 11.809842109680201 11.910545349121101 11.501793861389199 11.406538009643601 11.4949398040771 11.663898468017599 11.8203020095825 11.1357669830322 11.7006845474243 11.593966484069799 10.793032646179199 10.914848327636699 11.585374832153301 11.3713331222534 10.920687675476101 12.087729454040501 11.879564285278301 11.883975982666 12.1420640945435 11.5412340164185 11.676567077636699 11.10197830 2001999 11.356152534484901 11.884793281555201 11.552466392517101 12.496499061584499 12.0772924423218 11.879065513610801 12.1362295150757 11.648338317871101 11.334200859069799 11.9455013275146 11.334774017334 12.2807912826538 11.5183563232422 11.2562522888184 11.8044128417969 12.0584001541138 11.630211830139199 11.9957571029663 10.4126691818237 12.0568447113037 11.6054639816284 11.827151298522899 12.120403289794901 11.571124076843301 10.9595947265625 12.5269966125488 11.878659248352101 12.434806823730501 11.4494218826294 11.569948196411101 11.321245193481399 10.0072431564331 11.0316610336304 11.556155204772899 12.0676984786987 11.0900621414185 12.576565742492701 11.8496446609497 12.300941467285201 11.885672569274901 11.003009796142599 11.377811431884799 11.858594894409199 11.809099197387701 12.5221872329712 11.551373481750501 11.539614677429199 12.1510210037231 11.433102607727101 11.925989151001 11.23903465271 10.699099540710399 11.820396423339799 12.1750946044922 11.4381608963013 10.700083732605 12.119859695434601 10.745445251464799 11.401770591735801 11.4308471679688 11.9042806625366 11.026541709899901 11.8510637283325 10.8059282302856 12.157895088195801 11.045646667480501 11.0764560699463 11.3009853363037 12.7312421798706 12.24010181427 11.849084854126 11.672080039978001 11.536736488342299 10.824382781982401 11.4940404891968 11.349317550659199 11.2800407409668 12.7730369567871 11.7166137695313 11.919435501098601 12.031243324279799 11.215060234069799 11.2197513580322 11.994510650634799 11.5880641937256 11.086874961853001 11.433539390564 12.7164516448975 11.5251865386963 11.584998130798301 11.0581398010254 12.189823150634799 11.8189096450806 10.961992263793899 10.894554138183601 11.612632751464799 11.4024848937988 12.064251899719199 11.476508140564 11.100261688232401 11.2323760986328 11.0581111907959 11.4089918136597 11.7608652114868 11.1417846679688 12.044360160827599 11.677812576293899 12.5173282623291 11.464261054992701 11.303895950317401 12.154050827026399 11.692351341247599 10.976325988769499 11.2004070281982 11.8078460693359 12.561906814575201 12.116696357727101 11.169361114501999 10.7872829437256 10.902774810791 11.197319984436 10.974351882934601 10.9379320144653 11.500720024108899 12.200604438781699 11.863477706909199 11.9470624923706 12.498476982116699 11.9885263442993 11.530388832092299 12.409141540527299 11.528094291686999 12.049643516540501 11.948778152465801 11.7979984283447 11.179277420043899 12.0302276611328 11.399874687194799 11.275508880615201 10.517071723938001 12.363773345947299 10.6378326416016 11.5120935440063 11.7569313049316 11.2803201675415 11.7480688095093 10.6696586608887 11.2925882339478 11.528161048889199 12.7263889312744 12.4815063476563 11.775237083435099 11.8123769760132 11.392879486084 11.6100063323975 11.456799507141101 11.801659584045399 12.367693901061999 11.531775474548301 11.823279380798301 11.659152030944799 11.6703653335571 10.965639114379901 12.015897750854499 11.1013746261597 11.258202552795399 11.557518959045399 11.7808074951172 12.1521644592285 11.1583042144775 11.4732093811035 11.2137546539307 11.998360633850099 11.897535324096699 11.4695529937744 12.336230278015099 11.344353675842299 12.225222587585399 11.957659721374499 11.2737684249878 10.5097856521606 11.7722463607788 11.54234790802 12.4086761474609 11.9417572021484 11.695528984069799 10.9071207046509 11.6771583557129 11.672578811645501 11.270424842834499 11.894146919250501 11.3377838134766 11.3890733718872 11.538714408874499 12.343127250671399 12.453571319580099 11.496314048767101 10.898388862609901 12.4399967193604 12.300143241882299 11. 6709661483765 11.4844093322754 10.9294691085815 10.363736152648899 11.469199180603001 11.380378723144499 11.9179801940918 11.0608730316162 12.1882123947144 11.3662214279175 11.4783630371094 10.728633880615201 12.0944013595581 12.102363586425801 11.8048610687256 11.4621486663818 11.6283206939697 12.313232421875 12.350166320800801 10.951192855835 12.4562215805054 11.3260498046875 12.2066192626953 11.4292287826538 12.1602163314819 12.2019701004028 12.003002166748001 11.5741167068481 12.1693019866943 11.444286346435501 11.5208177566528 11.557745933532701 13.0531921386719 11.7030248641968 11.891008377075201 11.2581624984741 11.115979194641101 11.8270816802979 11.0894975662231 12.620008468627899 12.4408044815063 11.5824432373047 12.565966606140099 11.078571319580099 11.559821128845201 11.655447959899901 10.647668838501 11.644025802612299 12.0057973861694 11.7465000152588 11.3068199157715 11.511747360229499 11.953433036804199 11.7527523040771 12.3790016174316 12.3369607925415 11.9419803619385 11.313652038574199 12.1044816970825 11.4931344985962 11.963304519653301 12.147803306579601 11.586215019226101 11.8626003265381 11.8954067230225 12.2334308624268 11.229216575622599 11.5745296478271 10.1837015151978 12.470954895019499 12.018074035644499 12.226809501647899 11.093334197998001 11.883375167846699 11.598015785217299 12.238197326660201 11.966341972351101 12.2951812744141 12.5721025466919 11.729164123535201 11.303744316101101 11.1182098388672 11.6309604644775 11.5031728744507 11.647718429565399 10.606961250305201 11.837450981140099 11.4039106369019 11.4536542892456 11.3262176513672 11.7013654708862 11.7364864349365 11.7588338851929 11.9837188720703 11.703728675842299 10.716514587402299 11.562141418456999 11.1818189620972 12.036140441894499 11.509416580200201 11.7156219482422 11.721163749694799 11.270490646362299 12.580924987793001 11.814476966857899 11.209033012390099 11.585547447204601 11.446301460266101 11.7332649230957 11.125435829162599 11.804859161376999 11.4487495422363 12.0748701095581 11.341569900512701 11.802746772766101 12.735301971435501 10.958651542663601 11.9070892333984 12.159255027771 11.812767028808601 11.277432441711399 12.079103469848601 12.2801113128662 12.222002029418899 12.5623512268066 12.047822952270501 11.723950386047401 11.1840705871582 12.509815216064499 11.8247528076172 11.53928565979 11.996558189392101 12.098712921142599 12.171058654785201 11.5436744689941 11.3226108551025 11.7704877853394 11.7568969726563 11.285407066345201 11.769360542297401 12.076951980590801 11.0916032791138 11.1610012054443 11.2944641113281

SumStat_Corr

quantity price income compp pop labor cheese subp
Mean 1200.5631018066 Mean 12.3500000038 Mean 50024.9999648438 Mean 10.3500000114 Mean 45704.9999921875 Mean 13.9999999819 Mean 1.9999999985 Mean 11.6500000124
Standard Error 3.643576332 Standard Error 0.0155172966 Standard Error 13.5977929947 Standard Error 0.0083768735 Standard Error 11.3924190136 Standard Error 0.004743416 Standard Error 0.0015811388 Standard Error 0.0148627051
Median 1197.3041992188 Median 12.3656277657 Median 50017.7578125 Median 10.3505311012 Median 45701.779296875 Median 13.999089241 Median 1.9989081025 Median 11.6351213455
Mode ERROR:#N/A Mode 12.5790109634 Mode 50106.20703125 Mode ERROR:#N/A Mode 45929.8046875 Mode ERROR:#N/A Mode ERROR:#N/A Mode 11.6450853348
Standard Deviation 115.2200003774 Standard Deviation 0.4907000034 Standard Deviation 429.9999701468 Standard Deviation 0.2648999998 Standard Deviation 360.2599214207 Standard Deviation 0.1499999844 Standard Deviation 0.0499999993 Standard Deviation 0.4700000026
Sample Variance 13275.6484869571 Sample Variance 0.2407864933 Sample Variance 184899.974326208 Sample Variance 0.0701720099 Sample Variance 129787.21098207 Sample Variance 0.0224999953 Sample Variance 0.0024999999 Sample Variance 0.2209000024
Kurtosis 0.0312997421 Kurtosis 0.0747319458 Kurtosis -0.1082651709 Kurtosis 0.0447248704 Kurtosis -0.1488451049 Kurtosis 0.1241702815 Kurtosis 0.2004868114 Kurtosis 0.0476111442
Skewness 0.0017750305 Skewness -0.1244616395 Skewness 0.0427590882 Skewness 0.0339757124 Skewness 0.0375922624 Skewness 0.0307177074 Skewness 0.097057211 Skewness 0.0029309241
Range 809.5122070313 Range 3.6077747345 Range 2508.63671875 Range 1.7021379471 Range 2227.3203125 Range 1.0507011414 Range 0.3458552361 Range 3.1576604843
Minimum 786.0874023438 Minimum 10.4262924194 Minimum 48693.0703125 Minimum 9.5494022369 Minimum 44622.1328125 Minimum 13.5329170227 Minimum 1.8213524818 Minimum 10.0072431564
Maximum 1595.599609375 Maximum 14.0340671539 Maximum 51201.70703125 Maximum 11.251540184 Maximum 46849.453125 Maximum 14.5836181641 Maximum 2.1672077179 Maximum 13.1649036407
Sum 1200563.10180664 Sum 12350.0000038147 Sum 50024999.9648438 Sum 10350.0000114441 Sum 45704999.9921875 Sum 13999.9999818802 Sum 1999.9999984503 Sum 11650.0000123978
Count 1000 Count 1000 Count 1000 Count 1000 Count 1000 Count 1000 Count 1000 Count 1000
quantity price income compp pop labor cheese subp
quantity 1
price -0.6815000053 1
income 0.0635001337 0.119999846 1
compp -0.1880999995 0.0666999923 -0.1152000689 1
pop 0.0520999535 -0.0134999743 0.0235001493 -0.0266000188 1
labor -0.1239999841 0.2722999888 0.0258000197 -0.0929000128 0.0656003963 1
cheese -0.1866000231 0.3985000153 0.0132000457 -0.0885998995 0.0222999609 0.2965999868 1
subp -0.0842999692 0.3108999755 0.0872999941 0.2233000159 0.1457000621 0.1724000904 0.054299964 1

Regress

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.7258874644
R Square 0.526912611
Adjusted R Square 0.5245328958
Standard Error 79.4489404775
Observations 1000
ANOVA
df SS MS F Significance F
Regression 5 6988111.50033821 1397622.30006764 221.418345746 8.95731829867951E-159
Residual 994 6274261.33813192 6312.1341429899
Total 999 13262372.8384701
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 1852.7149950551 453.7359867252 4.0832445503 0.0000479801 962.3246231055 2743.1053670046 962.3246231055 2743.1053670046
price -173.1410587766 5.4270231816 -31.9035045518 2.32514938817829E-154 -183.7907963566 -162.4913211965 -183.7907963566 -162.4913211965
income 0.0316671862 0.0059546459 5.3180636909 0.0000001295 0.0199820663 0.043352306 0.0199820663 0.043352306
compp -70.8440097067 9.8481166338 -7.1936607111 0 -90.1694952074 -51.518524206 -90.1694952074 -51.518524206
pop 0.0033069892 0.0070801465 0.4670792046 0.6405455765 -0.0105867606 0.0172007389 -0.0105867606 0.0172007389
subp 41.5518246575 5.8607171398 7.0898874091 0 30.051026249 53.0526230659 30.051026249 53.0526230659
RESIDUAL OUTPUT
Observation Predicted quantity Residuals Predicted quantity Resid2 Pred2 Pred3 Pred4
1 1191.0143680033 -208.9067630228 1191.0143680033 43642.0356366817 1418515.22479033 1689472013.95672 2012185442961.95
2 1241.2870890874 26.3228962642 1241.2870890874 692.8948677361 1540793.63753496 1912567249.22008 2374045033468.21
3 1257.2934702181 206.0960561491 1257.2934702181 42475.5843602311 1580786.87025294 1987513009.77544 2498887129164.07
4 1052.7067377468 177.2048833469 1052.7067377468 31401.5706819993 1108191.47569755 1166600633.1804 1228088346808.71
5 1050.6253911938 69.5406244312 1050.6253911938 4835.8984462849 1103813.71262107 1159694713.62756 1218404712170.31
6 1310.9572599117 41.0982820805 1310.9572599117 1689.0687899649 1718608.93731528 2253022863.32265 2953616679419.95
7 1203.7452589996 -37.7592970855 1203.7452589996 1425.764516391 1449002.64856392 1744230068.48662 2099608675545.25
8 1088.0169143826 -76.1527786404 1088.0169143826 5799.2456946473 1183780.80598252 1287973539.83039 1401336996612.62
9 1177.4571132786 -39.0009365208 1177.4571132786 1521.0730495012 1386405.25361045 1632432727.75049 1922119527238.66
10 1292.7969926634 12.870365735 1292.7969926634 165.6463141537 1671324.06423953 2160682724.01483 2793324127706.13
11 1356.6874367216 39.4026511691 1356.6874367216 1552.5689191503 1840600.80095815 2497119982.67959 3387811308487.8
12 1115.4192716598 -84.8636075973 1115.4192716598 7201.8318944311 1244160.15159011 1387760210.11481 1547934482804.73
13 1330.3262680182 19.4182388177 1330.3262680182 377.0679987824 1769767.97937926 2354368831.26573 3132078700836.14
14 1213.927635644 73.8760752935 1213.927635644 5457.6745007703 1473620.30458024 1788868412.17609 2171556802071.17
15 1179.6359081738 108.0956592091 1179.6359081738 11684.6715398418 1391540.8758529 1641511584.84763 1936386009169.46
16 1229.3332466999 -140.7578072468 1229.3332466999 19812.7603009304 1511260.23144182 1857842446.92687 2283907487137.58
17 1284.0588698508 76.8857102273 1284.0588698508 5911.4124371621 1648807.18124249 2117165485.74811 2718565120916.82
18 1010.4414640769 -50.3242765769 1010.4414640769 2532.5328129849 1020991.9523258 1031652603.11878 1042424566714.05
19 1303.6129950332 100.4829522324 1303.6129950332 10096.8236893414 1699406.84081947 2215368841.54061 2887983610624.03
20 1173.1634429063 -31.173086461 1173.1634429063 971.7613195063 1376312.46377183 1614639468.51346 1894235997933.7
21 1179.2660264452 -71.7146348437 1179.2660264452 5142.9888507587 1390668.36112789 1639967952.33036 1933958490642.12
22 1173.3216459016 103.4023531219 1173.3216459016 10692.0466311409 1376683.68474116 1615292766.86633 1895257967832.49
23 1227.4720314949 -42.2239846199 1227.4720314949 1782.8648771792 1506687.58810215 1849416874.59585 2270107488141.07
24 1283.8617167605 -16.4153056277 1283.8617167605 269.4622588506 1648300.90776323 2116190433.17879 2716895882533.08
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628 1165.5132780969 -69.5514861047 1165.5132780969 4837.409219368 1358421.20142009 1583257947.5034 1845308160467.59
629 1261.6120614895 -51.9198007473 1261.6120614895 2695.6657096351 1591664.99369566 2008063753.89697 2533397452156.2
630 1196.8786027713 -99.511659412 1196.8786027713 9902.570358922 1432518.38977188 1714550608.79441 2052108937034.61
631 1292.7743104411 -17.5589784098 1292.7743104411 308.3177227971 1671265.41773643 2160568997.97824 2793128096521.71
632 1281.4215542931 -24.0818326134 1281.4215542931 579.9346620192 1642041.19980688 2104146986.46981 2696299301863.23
633 1156.6684477408 2.4472749155 1156.6684477408 5.9891545119 1337881.89799907 1547485778.21908 1789927972993.59
634 1215.1259496271 72.8652613104 1215.1259496271 5309.3463058289 1476531.07345723 1794171222.78867 2180144010884.75
635 1239.8192368346 -98.4695053893 1239.8192368346 9696.2434916179 1537151.74002521 1905790297.21709 2362835471862.54
636 1069.6900840258 56.3747353102 1069.6900840258 3178.1107812919 1144236.87586306 1223978839.88733 1309278028084.84
637 1165.7796244529 -39.6498637107 1165.7796244529 1572.1116922787 1359042.13278957 1584343627.17911 1846995518697.22
638 1232.887710201 -48.6148830525 1232.887710201 2363.4068542115 1520012.1059646 1874004244.80046 2310436802278.94
639 1249.1371361829 -53.4680688001 1249.1371361829 2858.8343812145 1560343.58499129 1949083117.21743 2434672103223.48
640 1266.0764361836 -62.8696490743 1266.0764361836 3952.5927747203 1602949.54225946 2029456643.84605 2569447235029.81
641 1149.7741450258 -129.4329585024 1149.7741450258 16752.8907466762 1321980.58456983 1519979096.3645 1747632665979.6
642 1142.3096730994 32.3193552209 1142.3096730994 1044.5407218979 1304871.38925637 1490567210.09815 1702689342499.85
643 1143.0939827968 -47.2324105312 1143.0939827968 2230.9006045837 1306663.85350622 1493639588.48102 1707370426059.72
644 1129.4333252861 -13.4432129814 1129.4333252861 180.7199752626 1275619.63626674 1440727327.58894 1627205456429.29
645 1290.9679802484 -201.8955925531 1290.9679802484 40761.8302923754 1666598.32602671 2151525074.83612 2777549980315.03
646 1319.7290992045 82.3453636862 1319.7290992045 6780.7589206084 1741684.895287 2298552237.95512 3033466274470.9
647 1349.1979184913 24.226031704 1349.1979184913 586.900612122 1820335.02326135 2455992224.34109 3313619596911.91
648 1175.9653626719 -1.5940247813 1175.9653626719 2.5409150034 1382894.53420411 1626236072.45236 1912397292731.61
649 1307.281440384 4.5250781706 1307.281440384 20.4763324505 1708984.76437258 2234124064.36338 2920628924857.61
650 1289.1956220335 36.3407549196 1289.1956220335 1320.6504681288 1662025.35187034 2142675807.33992 2762328270259.72
651 1320.1800096585 44.2859327243 1320.1800096585 1961.2438372629 1742875.25790189 2300909074.81047 3037614164606.59
652 1173.2193234096 -34.1612179408 1173.2193234096 1166.9888112005 1376443.58082162 1614870206.60299 1894596931185.04
653 1277.4060149678 -10.1291594991 1277.4060149678 102.5998721579 1631766.12707601 2084427865.74766 2662660693472.63
654 1238.441766321 12.1995911009 1238.441766321 148.8300230285 1533738.00856829 1899445208.40498 2352352278927.03
655 1213.9007648548 104.7371745984 1213.9007648548 10969.875742847 1473555.066915 1788749622.78374 2171364535230.87
656 1378.3970646126 -96.9747013314 1378.3970646126 9404.0926983123 1899978.46773274 2618924742.75003 3609918177848.06
657 1197.7266363598 46.479174187 1197.7266363598 2160.31363311 1434549.09544584 1718197662.78138 2057931107244.47
658 1323.0483901108 14.3565171158 1323.0483901108 206.1095836949 1750457.0425748 2315939372.13672 3064099857899.72
659 1394.8569080976 -140.6607411054 1394.8569080976 19785.4440883237 1945625.7940676 2713869579.42808 3785459730541.18
660 1193.2554695511 198.986351738 1193.2554695511 39595.5681779802 1423858.61561363 1699027080.94844 2027373357257.17
661 1154.0884760182 -107.8194330495 1154.0884760182 11625.0301431093 1331920.21047806 1537153765.88849 1774011447079.92
662 1313.7157377133 -43.1759427914 1313.7157377133 1864.1620359247 1725849.0395155 2267275044.12883 2978554907196.57
663 1326.5420147078 87.6451190813 1326.5420147078 7681.666898776 1759713.71678491 2334334179.17273 3096592365040.97
664 1304.3657931414 -6.6840304461 1304.3657931414 44.6762630039 1701370.12231733 2219208989.02349 2894660293114.1
665 1291.0099794072 184.6759336787 1291.0099794072 34105.2004801034 1666706.76692906 2151735068.85097 2777911446927.11
666 1170.9290321444 -71.0252235506 1170.9290321444 5044.5823804193 1371074.79831861 1605431286.59279 1879846102584.42
667 1085.5163760367 -30.7103457632 1085.5163760367 943.1253368964 1178345.80264376 1279113665.40386 1388498830608.17
668 1233.4801506892 95.4818854436 1233.4801506892 9116.7904478713 1521473.28214419 1876707093.32877 2314880948278.62
669 1156.3815099904 27.001058369 1156.3815099904 729.0571530464 1337218.19664762 1546334397.42598 1788152505445.51
670 1221.2456548497 8.0944330409 1221.2456548497 65.5198462536 1491440.94948935 1821415779.02882 2224396105813.69
671 1189.537417868 -6.449527243 1189.537417868 41.5964016583 1414999.26850809 1683194576.14624 2002222929878.44
672 1386.445823021 -5.2201150132 1386.445823021 27.2496007513 1922232.02017247 2665070555.2454 3694975939376.34
673 1103.0288873678 66.6918157572 1103.0288873678 4447.7982889891 1216672.7263679 1342025163.65636 1480292523087.5
674 1274.1501923572 -69.6130829822 1274.1501923572 4845.9813222878 1623458.71268391 2068530231.05019 2635618191789.3
675 1236.8085151514 -1.5209174952 1236.8085151514 2.3131900271 1529695.30315107 1891940176.52438 2339967720482.44
676 1237.2697873342 99.6374392283 1237.2697873342 9927.6192959819 1530836.52664991 1894057783.77149 2343460471325.56
677 1202.2696764329 31.4091565749 1202.2696764329 986.5351167482 1445452.37487003 1737823559.03414 2089332568017.42
678 1322.8083108042 -30.1426613902 1322.8083108042 908.5800356816 1749821.8271327 2314678855.35776 3061876426710.03
679 1215.7957369027 -66.4059663949 1215.7957369027 4409.7523728465 1478159.27387091 1797139743.63553 2184954838930.58
680 1115.3962370695 -15.2271696867 1115.3962370695 231.8666966669 1244108.76566878 1387674235.73212 1547806620813.89
681 1163.9343647801 8.1983256496 1163.9343647801 67.2125434568 1354743.20551604 1576832172.35247 1835329152891.89
682 1290.0788531 -61.7657427484 1290.0788531 3815.0069772669 1664303.44721582 2147082682.39457 2769905964414.46
683 1279.6251357222 108.2711045122 1279.6251357222 11722.6320722924 1637440.487972 2095310006.65816 2681211351649.98
684 1211.5634448808 56.8791820723 1211.5634448808 3235.241353215 1467885.98097148 1778436995.79807 2154689253132.6
685 1094.4242762023 109.6300450868 1094.4242762023 12018.7467857268 1197764.49634091 1310862541.9687 1434639788694.79
686 1114.8174831311 -59.5082790295 1114.8174831311 3541.2352730519 1242818.02069465 1385515257.82073 1544596632563.38
687 1270.4039387926 28.3723063245 1270.4039387926 804.9877661741 1613926.16769985 2050338160.36641 2604757674786.34
688 1349.2831013653 -63.252095506 1349.2831013653 4000.8275858962 1820564.88763009 2456457437.81839 3314456510071.57
689 1111.7210366864 39.0046713214 1111.7210366864 1521.3643848901 1235923.66341111 1374002336.35267 1527507301779.55
690 1068.0547131018 -66.0245006995 1068.0547131018 4359.2346926129 1140740.87017897 1218373662.82249 1301289732896.67
691 1184.0857489643 26.0642754498 1184.0857489643 679.3464547232 1402059.06090025 1660158153.21819 1965769610252.48
692 1032.8200112781 -164.4160195789 1032.8200112781 27032.6274941761 1066717.17569658 1101726845.43352 1137885532926.08
693 1187.0191055621 -99.285462984 1187.0191055621 9857.6031599402 1409014.35696943 1672526961.73401 1985321458145.99
694 1210.935211285 13.6712340275 1210.935211285 186.9026398355 1466364.08592978 1775671904.21607 2150223632504.67
695 1139.0805250693 20.3756516885 1139.0805250693 415.1671817299 1297504.44259224 1477962041.74777 1683517778546.6
696 1208.2979185404 87.7361390768 1208.2979185404 7697.6301000985 1459983.85994911 1764095459.07912 2131552871311.9
697 1170.1939466478 -66.2579114915 1170.1939466478 4390.1108352189 1369353.8727711 1602409612.73543 1875130028873.2
698 1161.9656651724 -130.7388585318 1161.9656651724 17092.6491302037 1350164.20703966 1568844450.92487 1822943385971.03
699 1332.6823573888 28.9897617519 1332.6823573888 840.4062864292 1776042.26569531 2366900193.46892 3154326129536.12
700 1174.3932980105 -97.4213741824 1174.3932980105 9490.9241475862 1379199.61841204 1619722788.48177 1902191587427.91
701 1254.3157658451 -8.3836369388 1254.3157658451 70.2853683223 1573308.04044756 1973425079.66423 2475298190136.95
702 1194.6649868439 -17.6968471954 1194.6649868439 313.1784006576 1427224.43079061 1705055055.83369 2036969575845.59
703 1263.0179970818 -7.0051796989 1263.0179970818 49.0725426145 1595214.46095241 2014784573.38796 2544709176431.68
704 1311.7491919929 -19.0829322273 1311.7491919929 364.1583023918 1720685.94269411 2257108395.00259 2960760113385.11
705 1206.9505157426 11.870040898 1206.9505157426 140.8978709209 1456729.54745133 1758200478.59387 2122060974417.76
706 1031.4157901086 38.4913143836 1031.4157901086 1481.5812829744 1063818.5320854 1097239231.80306 1131709869208.33
707 1287.2953602481 -64.0073963809 1287.2953602481 4096.9467914661 1657129.34451635 2133214916.52691 2746077664457.19
708 1229.6701863287 -86.6561482428 1229.6701863287 7509.2880282735 1512088.76714569 1859370476.0416 2286412439728.18
709 1155.9869668357 -56.1916787498 1155.9869668357 3157.5047607158 1336305.86749399 1544752166.52913 1785713371498.87
710 1060.2442991705 79.2486207514 1060.2442991705 6280.3438910005 1124117.97392348 1191839673.44744 1263641219297.84
711 1195.3005188412 47.1157409245 1195.3005188412 2219.8930428616 1428743.33034195 1707777644.04858 2041307503996.61
712 1282.6270509874 -65.5370851671 1282.6270509874 4295.1095322038 1645132.15192474 2110091000.50785 2706459797296.53
713 1149.2787702064 -67.9005963783 1149.2787702064 4610.4909885316 1320841.69164725 1518015315.01376 1744622774393.57
714 1228.7014547807 85.8011086959 1228.7014547807 7361.8302534434 1509707.26498014 1854979512.77405 2279216025933.82
715 1256.0194662256 -4.5410726709 1256.0194662256 20.6213410025 1577584.89953765 1981477343.44286 2488774115249.23
716 1320.4337531713 95.6994255397 1320.4337531713 9158.3800486221 1743545.29651398 2302236059.70007 3039950200996.01
717 1095.0735782141 128.2319637781 1095.0735782141 16443.4365343857 1199186.14170263 1313197059.13906 1438047402451.64
718 1330.5884700138 9.0780338924 1330.5884700138 82.4106993518 1770465.67653376 2355761215.75107 3134548711784.15
719 1164.0148991464 28.1592951896 1164.0148991464 792.9459055737 1354930.68543472 1577159505.15661 1835837162332.6
720 1279.8131522815 38.533161195 1279.8131522815 1484.8045116834 1637921.70475274 2096233740.14992 2682787510900.14
721 994.1814100257 65.4875352868 994.1814100257 4288.6172779351 988396.676040762 982645601.050956 976927989208.427
722 1196.8897227506 -56.9273204069 1196.8897227506 3240.7198087049 1432545.00842602 1714598397.96279 2052185201166.32
723 1157.9611783353 -44.8752408353 1157.9611783353 2013.7872400301 1340874.09053178 1552680141.87151 1797943326659.42
724 1160.441237642 -42.069777681 1160.441237642 1769.8661941315 1346623.86602003 1562677865.7225 1813395836534.74
725 1208.3633838659 -1.8387256628 1208.3633838659 3.380912063 1460142.0674679 1764382209.57049 2132014857189.43
726 1170.5927460267 35.6908233092 1170.5927460267 1273.8348684891 1370287.3770504 1604048463.5472 1877687495703.68
727 1232.4404317598 44.1694315214 1232.4404317598 1950.9386809257 1518909.41783635 1871965378.7223 2307085819591.96
728 1176.9960597909 19.8884616935 1176.9960597909 395.5509085333 1385319.72476329 1630515857.597 1919110739818.24
729 1380.9392943054 40.6732545227 1380.9392943054 1654.3136334663 1906993.33455685 2633442029.66814 3636623578044.24
730 1361.8089859715 9.9192855128 1361.8089859715 98.3922250854 1854523.71427281 2525507058.79401 3439258206800.21
731 1164.4383311993 -91.312842918 1164.4383311993 8338.0352817722 1355916.62716616 1578881294.58271 1838509899825.64
732 1240.6589904868 -84.2087951743 1240.6589904868 7091.1211847088 1539234.73067575 1909665407.08241 2369243556118.45
733 1086.9008191677 96.4811388401 1086.9008191677 9308.6101518759 1181353.39070751 1284013968.08659 1395595833736.14
734 1101.4943648473 41.7376908167 1101.4943648473 1742.0348347141 1213289.83579039 1336431917.04964 1472072225632.28
735 1270.4498606608 -108.9317942546 1270.4498606608 11866.1357995167 1614042.84845306 2050560511.91776 2605134316642.46
736 1147.5672446396 89.7608803604 1147.5672446396 8057.0156430774 1316910.58096968 1511243446.84009 1734253478269.9
737 1309.1248265038 -14.2193089257 1309.1248265038 202.188746324 1713807.81136864 2243588353.71885 2937137214308.17
738 1300.0019510552 54.8265401557 1300.0019510552 3005.9495054472 1690005.07274737 2197009891.86479 2856117145911.84
739 1223.2606233956 75.9959684012 1223.2606233956 5775.3872132421 1496366.55275029 1830446282.14571 2239112860189.79
740 1131.6881959254 -208.0469605738 1131.6881959254 43283.5378039995 1280718.17279682 1449373638.46127 1640239038132.02
741 1270.0946254367 -135.3247279757 1270.0946254367 18312.782001708 1613140.35756314 2048840898.21595 2602221813198.93
742 1185.306447078 -32.4354753983 1185.306447078 1052.0600643122 1404951.37348459 1665297920.82233 1973888361856.24
743 1274.5401530318 -37.7603678755 1274.5401530318 1425.8453820946 1624452.60169025 2070430067.55114 2638846255138.21
744 1123.3337131588 -76.5412326901 1123.3337131588 5858.5603017179 1261878.63111922 1417510808.25094 1592337679675.31
745 1244.1574940636 -34.8141102745 1244.1574940636 1212.0222742083 1547927.87003463 1925866059.7735 2396080690829.95
746 1362.5730467914 -7.4904051899 1362.5730467914 56.1061699087 1856605.30784254 2529760350.99619 3446983269109.08
747 1144.9753831166 6.4409987193 1144.9753831166 41.486464502 1310968.62794309 1501026807.03304 1718638743451
748 1190.23882337 119.30805163 1190.23882337 14234.411183755 1416668.45665712 1686173796.95691 2006949516087.27
749 1198.2194423512 20.1562900707 1198.2194423512 406.2760294145 1435729.83202836 1720319398.69996 2061320150576.17
750 1099.3448851672 95.1402222547 1099.3448851672 9051.6618906663 1208559.17654333 1328623349.15481 1460615283207.08
751 1147.1039079617 32.2468000461 1147.1039079617 1039.8561132157 1315847.37566094 1509413666.90177 1731454316033.77
752 1168.5008142723 -99.7410486473 1168.5008142723 9948.2767852545 1365394.15295493 1595464179.53041 1864301192923.51
753 1179.6406390517 -2.6822650283 1179.6406390517 7.1945456821 1391552.03730243 1641531334.5572 1936417072520.53
754 1077.485343726 69.7436601803 1077.485343726 4864.1781353446 1160974.66594424 1250933186.99205 1347862174964.33
755 1229.0760857391 -36.1470085907 1229.0760857391 1306.6062300538 1510628.02453577 1856676779.40422 2281997028512.83
756 1236.7080529143 -34.2024376799 1236.7080529143 1169.8067432493 1529446.8081431 1891479184.13465 2339207538939.11
757 1299.645788059 -113.981725559 1299.645788059 12991.8337614095 1689079.17441953 2195204634.73253 2852988457457.75
758 1251.7335466284 -80.3718522925 1251.7335466284 6459.6346409202 1566836.8717549 1961262274.4699 2454977782690.68
759 1367.2194319188 13.31523605 1367.2194319188 177.2955110671 1869288.97501625 2555728210.5137 3494241272117.29
760 1233.2519758393 95.4011003326 1233.2519758393 9101.3699446685 1520910.43591152 1875665800.16248 2313168554064.56
761 1256.3109550731 203.4959296926 1256.3109550731 41410.5934014416 1578317.2158366 1982857208.83593 2491085233806.18
762 1163.8147857571 -21.114712515 1163.8147857571 445.8310845891 1354464.85554695 1576346225.67395 1834575044911.81
763 1208.320012014 49.4128981422 1208.320012014 2441.6345028147 1460037.25143355 1764192229.1931 2131708775573.64
764 1116.2514436855 97.3744108067 1116.2514436855 9481.7758799586 1246017.28552986 1390868593.82974 1552559075839.21
765 1166.2590166248 161.0456708752 1166.2590166248 25935.7081076289 1360160.09385875 1586298973.51606 1850035480925.84
766 1281.1811654665 -2.207166443 1281.1811654665 4.8715837072 1641425.17874599 2102963023.53178 2694276617421.32
767 1205.4804162784 157.2683630185 1205.4804162784 24733.3380065149 1453183.03403073 1751783688.79206 2111740930394.74
768 1102.6740323471 2.9283846451 1102.6740323471 8.5754366297 1215890.02161259 1340730353.02214 1478388544657.05
769 1266.238298418 20.4350414258 1266.238298418 417.5909180721 1603359.42838051 2030235114.34499 2570761456576.68
770 1221.2464036336 -10.3642014852 1221.2464036336 107.4166724255 1491442.77838806 1821419129.33175 2224401561205.89
771 1219.0639939955 -21.1388230971 1219.0639939955 446.8498419286 1486117.02145625 1811671751.72115 2208543801462
772 1221.435549058 -19.5974142923 1221.435549058 384.0586469457 1491904.80050255 1822265559.14406 2225779933762.56
773 1204.2572455673 -15.889935997 1204.2572455673 252.4900659875 1450235.51350127 1746456624.91287 2103183044620.29
774 1317.7811628806 26.3183244241 1317.7811628806 692.6542004914 1736547.19324296 2288389179.70875 3015596154359.99
775 1234.6167580401 46.7933982099 1234.6167580401 2189.6221160313 1524278.53923342 1881899828.45845 2323425065167.56
776 1161.7701162829 -62.0016836657 1161.7701162829 3844.2087773866 1349709.80308805 1568052514.88182 1821716552551.99
777 1196.6154383372 17.3984776784 1196.6154383372 302.707025525 1431888.50726706 1713419893.77344 2050304697243.48
778 1242.0106951136 18.8737043004 1242.0106951136 356.2167140199 1542590.56677665 1915913982.11801 2379585656708.32
779 1193.724722962 18.7269371943 1193.724722962 350.6981766784 1424978.71421064 1701032320.8478 2030564335953.4
780 1068.2049210115 -63.42116857 1068.2049210115 4022.2446227905 1141061.7532731 1218887780.02429 1302021924782.67
781 1090.4326745197 -75.4076501056 1090.4326745197 5686.3136944527 1189043.41766016 1296571794.0392 1413824249080.95
782 1263.9899776979 -96.5112179322 1263.9899776979 9314.41518676 1597670.66372061 2019439706.60471 2552551549713.44
783 1243.7731076261 -107.7270871183 1243.7731076261 11605.1252989904 1546971.54325387 1924081603.762 2393120955637.27
784 1327.7342083925 104.7618853575 1327.7342083925 10975.0526236625 1762878.1281356 2340633595.95254 3107739294658.88
785 1187.0627028392 -25.704792683 1187.0627028392 660.7363668735 1409117.86047191 1672711256.07078 1985613144700.93
786 1139.1883066957 109.6938954527 1139.1883066957 12032.750699597 1297749.99811221 1478381622.8638 1684155057600.25
787 1254.0806262221 -104.4246203627 1254.0806262221 10904.5013378959 1572718.21706559 1972315446.5285 2473442590289.96
788 974.2023155926 -188.1149132489 974.2023155926 35387.2205866373 949070.151706061 924586339.451903 900734152859.366
789 1031.7932979472 70.1717899434 1031.7932979472 4924.080103866 1064597.40968874 1098444472.32878 1133367644715.98
790 1094.2066018337 56.6449606663 1094.2066018337 3208.6515688908 1197288.08749637 1310080529.63533 1433498764460.73
791 1166.0065453869 -134.8603051525 1166.0065453869 18187.301905832 1359571.2638851 1585268992.60998 1848434021582.14
792 1154.2847153699 -115.5701157605 1154.2847153699 13356.4516569026 1332373.2041366 1537938024.70331 1775218355101.22
793 1121.0122263902 84.4698292738 1121.0122263902 7135.1520575491 1256668.41171639 1408740654.05247 1579215497005.8
794 1262.1167986682 87.7171857068 1262.1167986682 7694.3046683186 1592938.8134805 2010474835.74436 2537454063492.67
795 1372.4833123461 83.2055304273 1372.4833123461 6923.1602936937 1883710.44266854 2585361147.85468 3548365031818.52
796 1116.019402816 12.6878725746 1116.019402816 160.9821104701 1245499.30746178 1390001393.32123 1551268524887.77
797 1127.2444812344 101.6972912265 1127.2444812344 10342.3390428059 1270680.12047352 1432367153.2181 1614627968566.6
798 1158.0073170101 -56.0407642757 1158.0073170101 3140.5672606085 1340980.94624897 1552865747.72745 1798229898202.77
799 1189.3913745179 -1.5044116273 1189.3913745179 2.2632543444 1414651.84177765 1682574698.55624 2001239833444.9
800 1106.7400388596 58.3201418045 1106.7400388596 3401.2389400948 1224873.5136149 1355616560.05623 1500315124355.32
801 1339.1840506016 61.4121408047 1339.1840506016 3771.4510382114 1793413.92138568 2401711319.64656 3216333493419.97
802 1263.3852321981 -41.9546902059 1263.3852321981 1760.1960302698 1596142.24493612 2016542540.73974 2547670066069.73
803 1265.9245840529 104.3619149706 1265.9245840529 10891.4092963274 1602565.0525094 2028726497.5156 2568214747524.44
804 1190.4089319209 -61.7706262569 1190.4089319209 3815.6102681664 1417073.42519714 1686896862.54247 2008097092399.95
805 1101.6924833158 -17.3338407377 1101.6924833158 300.4620347186 1213726.32779451 1337153172.13369 1473131598781.56
806 1130.3122210539 -114.9900164641 1130.3122210539 13222.7038864025 1277605.71706378 1444093355.68551 1632276368274.05
807 1145.0077554239 -62.9476968301 1145.0077554239 3962.4125362151 1311042.75998078 1501154127.87029 1718833118498.02
808 1227.213461735 -10.1825779459 1227.213461735 103.684893625 1506052.88066359 1848248369.23512 2268195279355.09
809 1232.6722249399 17.1350260366 1232.6722249399 293.6091172764 1519480.81413833 1873021795.91742 2308821944534.48
810 1271.0585216263 39.9431873581 1271.0585216263 1595.4582163214 1615589.76539888 2053509138.7625 2610130290061.59
811 1268.9318795722 65.0997366387 1268.9318795722 4237.9757104288 1610188.11499472 2043219031.22513 2592705765670.27
812 1163.013379846 58.9091055056 1163.013379846 3470.2827114687 1352600.12170075 1573092039.11926 1829527089224.87
813 1375.4726307578 43.1671397501 1375.4726307578 1863.4019542008 1891924.95796366 2602290999.12653 3579380046565.79
814 1166.7146768896 -83.087479624 1166.7146768896 6903.5292702662 1361223.13726964 1588159012.77422 1852928429438.2
815 1326.2969388927 -8.3970365489 1326.2969388927 70.5102228043 1759063.57011613 2333040628.36268 3094304643709.71
816 1247.7918452863 58.8138676043 1247.7918452863 3459.0710225811 1556984.48916296 1942792548.81478 2424200699494.04
817 1297.5220523352 21.6268734461 1297.5220523352 467.7216550524 1683563.47629609 2184460737.00026 2834385978718.19
818 1140.1623641713 -88.8250838979 1140.1623641713 7889.8955294692 1299970.21667278 1482177115.59397 1689922564236.28
819 1282.0538998198 -47.138372476 1282.0538998198 2222.0261596859 1643662.20204302 2107263536.11557 2701625434424.92
820 1293.5897882398 60.6328680102 1293.5897882398 3676.3446831399 1673374.54023834 2164660217.15282 2800182351917.88
821 1178.9645393006 -33.5195930115 1178.9645393006 1123.5631156564 1389957.38492818 1638710467.96925 1931981531916.37
822 1157.2661700843 68.1494793297 1157.2661700843 4644.3515329133 1339264.98842165 1549886063.87876 1793630709212.05
823 1165.2030028377 -109.8607176814 1165.2030028377 12069.3772894755 1357698.03782191 1581993830.6169 1843343961905.47
824 1171.6356130901 -21.1074148479 1171.6356130901 445.5229615603 1372730.00986093 1608339366.71055 1884387679972.8
825 1123.9711601027 76.8110664598 1123.9711601027 5899.9399306858 1263311.1687427 1419925319.90248 1595955109070.04
826 1205.9552912704 19.8375554093 1205.9552912704 393.5286046167 1454328.16454307 1753854745.27429 2115070410183.23
827 1182.5452408214 -13.4766373058 1182.5452408214 181.6197530716 1398413.24658937 1653686929.45588 1955559608236.63
828 1274.5120464614 77.143593187 1274.5120464614 5951.1339698073 1624380.95657523 2070293097.19763 2638613492084.26
829 1137.612711215 -83.3146155119 1137.612711215 6941.3251578923 1294162.68071796 1472255915.96485 1674857044163.11
830 1144.0265902334 64.2816373057 1144.0265902334 4132.1288946965 1308796.83916106 1497298385.21368 1712949166197.98
831 1240.1090901249 95.3694255001 1240.1090901249 9095.327320223 1537870.55541036 1907127255.19978 2365045845198.16
832 1189.7305538777 -54.0409786824 1189.7305538777 2920.4273769464 1415458.79083005 1684014571.20524 2003523588538.06
833 1253.8796746128 -67.2938591831 1253.8796746128 4528.4634837602 1572214.23840717 1971367477.67564 2471857611450.25
834 1314.1347014385 47.7912018818 1314.1347014385 2283.9989773092 1726950.01352482 2269444940.42263 2982356349213.38
835 1255.2517173582 -54.2255943113 1255.2517173582 2940.4150784182 1575656.87393076 1977845996.96888 2482694584365.27
836 1109.1350135523 34.3098106665 1109.1350135523 1177.1631079677 1230180.47828766 1364436241.45736 1513344009160.05
837 1190.9734637589 -11.1745135635 1190.9734637589 124.8697533819 1418417.79137777 1689297950.05436 2011909030896.98
838 1133.9401910272 -39.2706353632 1133.9401910272 1542.1828018271 1285820.35682687 1458043381.04697 1653333990030.39
839 1260.5226357806 -84.9109414447 1260.5226357806 7209.8679770204 1588917.3153153 2002866242.33869 2524658234908.78
840 1100.0947009253 -109.7143908667 1100.0947009253 12037.2475632589 1210208.35100399 1331343793.95507 1464604252839.8
841 1100.0241241261 -162.8916778371 1100.0241241261 26533.698708571 1210053.07365943 1331087572.49834 1464228441072.64
842 1082.5351543009 29.1318378865 1082.5351543009 848.6639786482 1171882.36029738 1268603851.72709 1373308266376.16
843 1169.2363038431 -75.5235352884 1169.2363038431 5703.8043824648 1367113.53422475 1598478775.69087 1868999415460.49
844 1207.6567659676 -12.5886507332 1207.6567659676 158.4741272834 1458434.86438736 1761288731.70046 2127032253660.59
845 1193.7349337477 -240.5333346266 1193.7349337477 57856.285066575 1425003.09204953 1701075971.67795 2030633812350.71
846 1256.3763066845 14.5288446827 1256.3763066845 211.0873278133 1578481.42399822 1983166661.65299 2491603605907.44
847 1254.3410731508 31.7879551695 1254.3410731508 1010.4740938591 1573371.52779309 1973544530.63689 2475497964469.95
848 1218.8752190671 -115.0601555905 1218.8752190671 13238.8394045117 1485656.79965579 1810830257.13893 2207176126363.49
849 1041.5917747567 -47.4115989754 1041.5917747567 2247.8597174068 1084913.42524077 1130036900.05388 1177037140267.65
850 1174.4834584082 80.4258433496 1174.4834584082 6468.3162784918 1379411.39407455 1620095864.68039 1902775794102.69
851 1149.8683892379 177.7165716996 1149.8683892379 31583.1798566635 1322197.31256853 1520352894.05784 1748205733363.45
852 1166.5171517996 34.9165640207 1166.5171517996 1219.1664430147 1360762.26544257 1587352522.1604 1851673943052.4
853 1119.2810006345 20.7119192874 1119.2810006345 428.983600568 1252789.95838131 1402223998.20186 1569482679821.05
854 1127.1383825814 40.880904528 1127.1383825814 1671.2483550264 1270440.9334882 1431962738.93708 1614020165482.37
855 1095.6336015728 106.5128828022 1095.6336015728 11344.9942028396 1200412.98889534 1315212806.39815 1440991343908.64
856 1389.6235170022 66.9930601463 1389.6235170022 4488.0701077628 1931053.51900546 2683437382.59977 3728967693263.36
857 1121.3725334332 6.3370612934 1121.3725334332 40.1583458359 1257476.35873838 1410099450.1308 1581246792785.93
858 1188.053584508 -72.0781206408 1188.053584508 5195.2554751096 1411471.31966228 1676903560.755 1992251286229.18
859 1204.719406163 124.905593837 1204.719406163 15601.4073717824 1451348.84758565 1748468121.79868 2106413477388.19
860 1075.7409686774 -14.5274677008 1075.7409686774 211.0473177991 1157218.631691 1244867491.82682 1339154961532.79
861 1196.1470010457 -70.4776895223 1196.1470010457 4967.1047203962 1430767.64811062 1711408431.48073 2047096062880
862 1295.144013212 -74.6294868448 1295.144013212 5569.5603067173 1677398.01495884 2172471996.84761 2813664100587.87
863 1122.2094616417 115.7421985146 1122.2094616417 13396.256516992 1259354.07579805 1413259059.41756 1585972688229.17
864 1322.7881474168 49.3944697707 1322.7881474168 2439.813643931 1749768.48294631 2314573009.96481 3061689743912.22
865 1222.8875130721 158.5603629045 1222.8875130721 25141.3886843931 1495453.86962767 1828771863.54304 2236382276184.38
866 1221.4603930073 7.6310376568 1221.4603930073 58.2327357194 1491965.49168547 1822376755.82742 2225961028380.27
867 1086.3851544318 151.4678729119 1086.3851544318 22942.5165244552 1180232.70376992 1282187288.1506 1392949235048.05
868 1161.2475070802 31.6062526854 1161.2475070802 998.9552088121 1348495.77270009 1565937354.35624 1818440848990.02
869 1308.4632012653 -23.3284356403 1308.4632012653 544.2159094234 1712075.94906542 2240188377.12346 2931204055368.27
870 1212.2200531098 10.1741119293 1212.2200531098 103.5125535492 1469477.45716152 1781330041.16398 2159363997105.87
871 1354.2322724089 36.8559844271 1354.2322724089 1358.3635880895 1833945.04763365 2483587569.32989 3363354437740.01
872 1268.7406574852 -79.3130451805 1268.7406574852 6290.5591358004 1609702.85595589 2042295459.82123 2591143284472.56
873 1239.1150296258 -5.774087243 1239.1150296258 33.3400834898 1535406.05664458 1902544721.36681 2357471758780.87
874 1363.6028576794 4.5438708363 1363.6028576794 20.6467621766 1859412.75347136 2535500544.23901 3457415787771.93
875 1204.209011669 -58.9427763175 1204.209011669 3474.2508800091 1450119.34378486 1746246781.78128 2102846111219.02
876 1195.2927748121 140.8771470629 1195.2927748121 19846.3705645853 1428724.81751798 1707744451.57396 2041254604191.79
877 1183.0379305714 12.9003018505 1183.0379305714 166.4177878331 1399578.7451707 1655754742.35848 1958820663933.59
878 1415.5965295724 -54.663546174 1415.5965295724 2988.1032803156 2003913.5345375 2836733045.0545 4015669453902.57
879 1047.0814920018 67.077809756 1047.0814920018 4499.4325616671 1096379.65089266 1147998840.65707 1202048338891.51
880 1292.675279184 92.8831924957 1292.675279184 8627.2874481895 1671009.37741346 2160072513.46704 2792272339403.72
881 1038.7008214635 -22.7704625768 1038.7008214635 518.4939659607 1078899.39650896 1120653689.43033 1164023907787.4
882 1140.9455246735 33.3091139984 1140.9455246735 1109.4970753606 1301756.69027237 1485233469.97997 1694570480668.87
883 1056.6055813415 -83.4441433533 1056.6055813415 6962.9250599578 1116415.35452208 1179610694.68341 1246383243812.65
884 1202.2992848735 -54.4596852641 1202.2992848735 2965.8573190677 1445523.57040734 1737951954.96855 2089538392603.2
885 1120.4026856598 252.5177244965 1120.4026856598 63765.2011848764 1255302.17803364 1406443931.58346 1575783558176.01
886 1166.0553620796 -82.1052888374 1166.0553620796 6741.2784550781 1359685.10743464 1585468110.26397 1848743591379.54
887 1226.1021244221 -62.7267582112 1226.1021244221 3934.6461956828 1503326.41951242 1843231716.66406 2259990323604.02
888 1179.5181354281 9.3059612515 1179.5181354281 86.6009148151 1391263.0318039 1641019977.16345 1935612823664.18
889 1232.2544617383 -131.2101502148 1232.2544617383 17216.1035193987 1518451.05847388 1871118091.73564 2305693616980.44
890 1348.4837818684 247.1158275066 1348.4837818684 61066.2322042709 1818408.50996211 2452094384.49539 3306609509102.61
891 1239.8165484877 29.8193157701 1239.8165484877 889.1915929961 1537145.07390401 1905777900.05258 2362814978227.38
892 1307.4681178688 -82.4473659157 1307.4681178688 6797.5681464402 1709472.87924351 2235081287.97235 2922297524869.09
893 1315.5415963408 -45.5967721221 1315.5415963408 2079.0656279548 1730649.69170303 2276741658.12981 2995148355391.81
894 1094.5522090576 0.1556766846 1094.5522090576 0.0242352301 1198044.53835279 1311322296.00339 1435310715876.95
895 1313.3388416839 -108.0746815277 1313.3388416839 11680.1367873074 1724858.91307566 2265324206.96698 2975138270016.56
896 1279.5380583943 -49.771945113 1279.5380583943 2477.2465203337 1637217.64287939 2094882283.93874 2680481610155.53
897 1235.6580530314 1.0912145467 1235.6580530314 1.190749187 1526850.82402134 1886665516.4796 2331273438814.66
898 1155.6361823658 125.0908684154 1155.6361823658 15647.7253609195 1335494.98599311 1543346327.18181 1783546857612.74
899 1162.3334962921 -148.7857057648 1162.3334962921 22137.1862399341 1351019.15660274 1570334819.85175 1825252761507.59
900 1161.7569786451 67.1515906909 1161.7569786451 4509.3361323123 1349679.27743055 1567999319.4876 1821634151925.46
901 1117.6748498892 88.5806432748 1117.6748498892 7846.5303629832 1249197.07007491 1396196147.77803 1560493319883.73
902 1257.1455569647 3.9130367853 1257.1455569647 15.3118568831 1580414.95139609 1986811634.30817 2497711418596.29
903 1207.7383929511 48.2805279473 1207.7383929511 2331.0093788709 1458632.02580818 1761645898.75662 2127607386713.28
904 1173.0096515999 243.0937419548 1173.0096515999 59094.5673775881 1375951.64274649 1614004557.07635 1893242923176.76
905 1275.0756365541 25.9673321959 1275.0756365541 674.3023413738 1625817.87893377 2073040766.90246 2643283775460.7
906 994.3711245072 -0.533966304 994.3711245072 0.2851200139 988773.933253646 983208247.892802 977673891081.886
907 1141.2027114291 26.316087399 1141.2027114291 692.5364559931 1302343.62857314 1486238080.14009 1696098926885.06
908 1146.5701331279 -48.3147620342 1146.5701331279 2334.3162304185 1314623.07018098 1507307548.59044 1728233816652.06
909 1191.4866728228 -58.5998320025 1191.4866728228 3433.9403107205 1419640.49151435 1691482725.83897 2015379125147.12
910 1245.1320777962 67.9342063835 1245.1320777962 4615.0563969608 1550353.89115697 1930395361.81563 2403597187825.56
911 1223.5923129563 -169.3428012375 1223.5923129563 28676.9843309717 1497178.14832569 1831935673.41742 2241542407823.93
912 1207.5656223794 57.4542750816 1207.5656223794 3300.9937251492 1458214.73235246 1760889980.83596 2126390205649.77
913 1167.4283403284 25.3553510779 1167.4283403284 642.893828282 1362888.92980188 1591075161.37053 1857466234976.51
914 1194.0098410674 -65.2831564971 1194.0098410674 4261.8905222294 1425659.50056591 1702251473.68699 2032505011553.83
915 1235.9338170088 99.8814906084 1235.9338170088 9976.3121661475 1527532.40002602 1887928949.76882 2333355233129.26
916 1202.1175722587 207.2143369209 1202.1175722587 42937.7814255828 1445086.65753328 1737164064.45743 2088275447780.72
917 1252.4071211486 54.3534989686 1252.4071211486 2954.3028501253 1568523.5971038 1964430122.70246 2460266274671.44
918 1248.288057583 -17.5142538721 1248.288057583 306.7490886961 1558223.07470442 1945111255.20384 2428059150541.3
919 1304.710399009 -81.0910142434 1304.710399009 6575.7525910231 1702269.2252823 2220968360.13886 2897720515343.2
920 1264.4841403261 -92.6810397402 1264.4841403261 8589.7751273234 1598920.14113632 2021809160.1149 2556545617731.4
921 1272.7577764889 108.7762811282 1272.7577764889 11832.2793360904 1619912.35761309 2061756050.38261 2624116046347.6
922 1098.3765112739 -73.7528540473 1098.3765112739 5439.4834801284 1206430.96051823 1325115429.50683 1455475662496.93
923 1130.592761169 -99.4086791378 1130.592761169 9882.0854879209 1278239.99160784 1445168881.54861 1633897476145.62
924 1184.9889621038 -76.4064425726 1184.9889621038 5837.9444665968 1404198.84030791 1663960126.36387 1971774383122.08
925 1224.9604404049 51.1353847905 1224.9604404049 2614.8275776689 1500528.08055683 1838087538.39874 2251584520539.57
926 1256.9142562834 -35.773875424 1256.9142562834 1279.770162853 1579833.44764844 1985715182.90267 2495873722308.76
927 1212.8144809714 -20.9491245261 1212.8144809714 438.865818409 1470918.96525389 1783951821.39536 2163602602343.57
928 1133.5433636218 143.077241847 1133.5433636218 20471.0971345428 1284920.55721093 1456513170.40762 1651020838343.24
929 1167.4014829502 44.5767885342 1167.4014829502 1987.0900760188 1362826.22239438 1590965353.02665 1857295312445.74
930 1211.9863847761 10.7731367083 1211.9863847761 116.0604745357 1468910.99688259 1780300128.66956 2157699516762.61
931 1161.4196405014 -15.2447137436 1161.4196405014 232.4012971236 1348895.58134237 1566633821.15657 1819519289364.98
932 1154.1067082721 -141.3685490924 1154.1067082721 19985.0666724808 1331962.29407856 1537226618.7615 1774123552847.02
933 1169.0353370476 72.5960106086 1169.0353370476 5270.1807562894 1366643.61926603 1597654684.07263 1867714782080.54
934 1052.4687356094 56.2577048203 1052.4687356094 3164.9293516498 1107690.43943519 1165809556.23895 1226978109616.13
935 1126.186881842 -54.4228437561 1126.186881842 2961.8459225008 1268296.8928331 1428339322.98965 1608577008370.09
936 1240.072425792 -3.7353896592 1240.072425792 13.9531359059 1537779.62120962 1906958105.2069 2364766163407.61
937 1305.6649937434 -39.2512974543 1305.6649937434 1540.664351848 1704761.07588692 2225846859.48186 2906210325859.12
938 1272.827152805 48.9096636013 1272.827152805 2392.155193589 1620088.96091764 2062093219.41559 2624688241287.21
939 1192.9267346632 -9.261817671 1192.9267346632 85.7812665706 1423074.19427415 1697623251.7589 2025140162409.02
940 1289.502762106 -27.5622103482 1289.502762106 759.6754392783 1662817.37347902 2144207595.97905 2764961617543.67
941 1282.0074146333 52.0506908354 1282.0074146333 2709.2744164436 1643543.01117486 2107034326.59497 2701233629581.71
942 1233.8132870783 -47.018243133 1233.8132870783 2210.7151873177 1522295.22737108 1878228078.3864 2317382759276.78
943 1200.6560287903 192.9689712097 1200.6560287903 37237.0238497199 1441574.89947056 1730835594.00213 2078138190783.55
944 1110.5980084344 101.4323870734 1110.5980084344 10288.5291474065 1233427.9363385 1369842609.64491 1521344474140.24
945 1283.2189888902 -85.7645211168 1283.2189888902 7355.5530823889 1646650.97344841 2113013797.20355 2711459428358.61
946 1279.3925111266 42.75848985 1279.3925111266 1828.2884542523 1636845.19752673 2094167487.58918 2679262200666.32
947 1258.094446363 -24.3377324959 1258.094446363 592.3252230396 1582801.63596953 1991313947.9076 2505261018827.81
948 1144.6834106399 -127.0534057571 1144.6834106399 16142.5679144821 1310300.11059425 1499878799.5569 1716886379823.31
949 1063.1241217546 20.682763011 1063.1241217546 427.7766857689 1130232.89825657 1201577857.33721 1277426404301.44
950 1196.9047891794 -82.0125772654 1196.9047891794 6726.0628297094 1432581.07436067 1714663148.79011 2052288534616.38
951 1155.3465320479 32.2295177568 1155.3465320479 1038.7418148342 1334825.60911515 1542186138.37993 1781759406749.62
952 1223.2243459986 31.1975290014 1223.2243459986 973.2858157949 1496277.80064363 1830283434.12449 2238847256698.95
953 1344.5227043957 7.8558356434 1344.5227043957 61.7141536556 1807741.3026355 2430549225.06728 3267928617254.31
954 1258.4826198284 9.9464573201 1258.4826198284 98.9320132203 1583778.50441004 1993157721.45778 2508354351031.31
955 1262.9249985118 -26.2049057383 1262.9249985118 686.6970847545 1594979.55186594 2014339548.16659 2543959770870.48
956 1053.4068892233 -17.4250776998 1053.4068892233 303.6333328453 1109666.07426306 1168929887.36605 1231358796370.39
957 1081.1221745262 -130.3115666161 1081.1221745262 16981.1043939389 1168825.15625235 1263642794.56852 1366152245888.34
958 1312.652603488 38.9953457308 1312.652603488 1520.6369886616 1723056.8574438 2261775069.88143 2968924933984.09
959 1220.0923805026 58.6595726224 1220.0923805026 3440.9454602409 1488625.41696054 1816260528.65608 2216005632020.93
960 1175.040128256 101.6260094393 1175.040128256 10327.8457945631 1380719.30301183 1622400586.89652 1906385793709.46
961 1141.0565753803 -28.8583331928 1141.0565753803 832.8033946667 1302010.10821862 1485667195.19447 1695230321903.46
962 1228.027998028 -19.2450390436 1228.027998028 370.3715277892 1508052.76394058 1851931016.62249 2274223138828.82
963 1163.744499789 57.6961740391 1163.744499789 3328.8484987507 1354301.26078921 1576060643.30078 1834131904975.24
964 1169.1634857253 -202.5019867018 1169.1634857253 41007.0546181865 1366943.25635325 1598180142.38661 1868533866089.63
965 1145.0512015295 65.2875435877 1145.0512015295 4262.4633477175 1311142.2541241 1501325013.46087 1719094010549.62
966 1348.3245071972 25.0290084278 1348.3245071972 626.4512628787 1817978.97670858 2451225607.86548 3305047559754.38
967 1296.6793327503 -60.661632555 1296.6793327503 3679.8336642412 1681377.29198186 2180207185.06861 2827029597992.26
968 1241.4756350737 53.3916744966 1241.4756350737 2850.6709055546 1541261.75248158 1913438912.97684 2375487789662.6
969 1314.3714244057 144.1695912193 1314.3714244057 20784.8710323307 1727572.24129435 2270671587.55386 2984505848890.8
970 1257.9164066378 39.7692623075 1257.9164066378 1581.5942244816 1582353.68608862 1990468662.83471 2503843187878.23
971 1310.3386231779 26.9061277986 1310.3386231779 723.939713117 1716987.3073918 2249834784.38172 2948045413744.53
972 1036.0385463809 14.3520786191 1036.0385463809 205.98216069 1073375.86958696 1112058775.64717 1152135757411.57
973 1188.2759943451 14.0046453034 1188.2759943451 196.1300900734 1411999.83873674 1677845512.38997 1993743544592.59
974 1113.407441673 13.5818161395 1113.407441673 184.4657296463 1239676.13117288 1380264629.71232 1536796910199.77
975 1206.1939028122 80.1909848831 1206.1939028122 6430.5940565161 1454903.73118143 1754896009.72983 2116744867005.66
976 1146.3752768787 22.3931557385 1146.3752768787 501.4534239265 1314176.27543881 1506539191.62363 1727059282926.22
977 1076.8711559303 -76.1597301491 1076.8711559303 5800.3044963809 1159651.48647473 1248795236.71637 1344791570083.05
978 1113.4712651054 65.7450434883 1113.4712651054 4322.4107432829 1239818.25821546 1380502004.47596 1537149313404.41
979 1156.7968079582 -30.3807923332 1156.7968079582 922.9925427904 1338178.85490218 1548001027.82795 1790722647707.32
980 1177.7926942793 34.0715635332 1177.7926942793 1160.8714415981 1387195.63069765 1633828879.37183 1924311717826.65
981 1217.6908966063 75.4151824953 1217.6908966063 5687.4497507937 1482771.11967785 1805556894.18244 2198610193350.7
982 1381.9962559555 59.5135096695 1381.9962559555 3541.857833186 1909913.65147492 2639493515.53656 3647770156090.26
983 1323.8273769517 70.9554599624 1323.8273769517 5034.6772984756 1752518.92396672 2320032530.17301 3071322578861.46
984 1244.0792035514 111.1229448861 1244.0792035514 12348.3088801575 1547733.06470911 1925502518.45348 2395477639593.84
985 1057.1992370979 15.2774474724 1057.1992370979 233.4004012718 1117670.22692041 1181600111.22731 1249186736144.32
986 1158.351516377 40.359421123 1158.351516377 1628.8828733865 1341778.23549281 1554250853.72471 1800368833242.21
987 1170.0095476774 129.6774640414 1170.0095476774 16816.2446801958 1368922.34165627 1601652209.76674 1873948377485.69
988 1177.2502192328 -93.9808100531 1177.2502192328 8832.3926582433 1385918.07868373 1631572361.96916 1920768920822.41
989 1084.3306686696 17.880879182 1084.3306686696 319.7258403212 1175772.99901738 1274926722.22813 1382442145218.32
990 1213.2756086576 0.7436784518 1213.2756086576 0.5530576397 1472037.70256341 1785987439.54451 2166894997768.15
991 1083.3728351431 1.4600505991 1083.3728351431 2.131747752 1173696.69992595 1271551121.39685 1377563943417.06
992 1160.4100921198 -17.1497161433 1160.4100921198 294.1127637952 1346551.58189358 1562552045.18926 1813201162700.11
993 1278.2287652716 0.8382513299 1278.2287652716 0.7026652921 1633868.77636788 2088458068.6326 2669527178389.86
994 1239.8969353104 145.6684943771 1239.8969353104 21219.3102541046 1537344.41019201 1906148622.71357 2363427835548.61
995 1282.5910913752 -76.4286157892 1282.5910913752 5841.3333114594 1645039.90767498 2109913530.54058 2706156297843.3
996 1335.9410842517 52.6436325452 1335.9410842517 2771.3520475489 1784738.58059168 2384305594.46154 3185291801052.42
997 1289.19274507 -144.9825399919 1289.19274507 21019.9369025012 1662017.93394118 2142661462.61325 2762303612742.12
998 1234.7179874359 34.2716365875 1234.7179874359 1174.5450743883 1524528.50849776 1882362771.80102 2324187173222.42
999 1382.9186426003 -50.3248926003 1382.9186426003 2532.5948152345 1912463.97205153 2644782080.25154 3657518444395.13
1000 1237.5413627505 87.2942085386 1237.5413627505 7620.2788443804 1531508.62451827 1895305270.25042 2345518666973.84

Residuals 1191.0143680033107 1241.2870890873546 1257.293470218046 1052.7067377468193 1050.6253911937733 1310.9572599117323 1203.7452589995596 1088.0169143825476 1177.4571132786325 1292.7969926633987 1356.6874367215739 1115.419271659815 1330.3262680182092 1213.9276356440041 1179.6359081737473 1229.3332466999409 1284.0588698507927 1010.4414640768664 1303.6129950332172 1173.1634429063304 1179.2660264452145 1173.3216459015653 1227.472031494872 1283.8617167605032 1332.880156235125 1299.3839163532054 1207.4663694616554 1179.8136346198266 1269.1155725109015 1202.4973013623776 1165.3654799716919 1305.5233280557923 1153.1471896908124 1385.496931884129 1079.9603343498279 1101.4216828168467 1162.6201809354045 1051.883115575215 1207.0997054856002 1152.9001523899619 1221.1044823653901 1115.4048586754341 1293.333 4756925208 1115.7350660625948 1289.909163426488 1117.784443086244 1264.4701901251876 1162.5077291890686 1074.4066612344009 1073.031732547418 1280.5740988078576 1165.4723336552393 1163.8889562055099 1213.5526959600452 1248.993015867806 1253.9046081311253 1228.0356442188004 1056.8627065128735 1053.6379825967292 1124.2377995444549 1283.0698804404624 1181.9995813874273 1264.2045586102636 1179.954066417974 1137.4015051438009 1162.5610410984532 1304.7606025050984 1197.6951380403259 1186.8316483566155 1392.8014681534182 1161.9207646363848 1024.3555956410678 1119.6163337277071 1203.9264217024665 1332.149069431408 1349.3521482868291 1077.4738954699567 1288.8011659315189 1231.5779501036263 1200.0128065700037 1167.3840149078756 1205.4053717000061 1153.3399598519586 1163.3290109160619 1114.9667576264101 1166.4994103761719 1293.2767733451565 1145.096530475545 1313.8623062676093 1360.071952452226 1233.6788748668816 1405.5426025645268 1263.8644574458585 1155.3417491599284 1328.2015851394315 1222.60750740238 1261.234818728504 1090.5151620874158 1205.2502442307332 1176.8489055029252 1152.5254879826864 1187.5771894123918 1141.983706130291 1128.2939242643306 1294.9574897221578 1218.1460915213524 1250.9741834457975 1138.7847157191804 1152.3086787524887 1176.2575570633842 1096.0304572561868 1075.6582945552859 1001.2373358331687 1154.0514972466567 1259.962771656496 1276.5961417276449 1114.4090313037339 1269.3875304457501 1260.0016462243645 1081.9467012753075 1122.1159958538476 1082.0593152632541 1176.8533111 294364 1221.6049054741895 1366.078557236141 1108.1928859077275 1237.8930516099163 1306.1080429977671 1189.5726043643369 1214.7845686088285 1098.2017254242614 1206.7359769891086 1236.1013807054965 1110.7685463104904 1108.6749151078413 1164.8753549175885 1200.22261624831 1373.9437800183784 1250.3920242623906 1183.4850058790867 1280.142569192122 1320.3875409004143 1133.1771352773208 1206.7206120282003 1186.4653446975908 1133.5569715222009 1128.9451916954654 1155.8608273843533 1091.297068277582 1355.2669729192894 1248.460301679695 1055.4468527510767 1273.8537909882232 1219.6291869841079 1161.50619399482 1324.393964056917 1213.8581886511588 1154.025710060992 1239.4868583782873 1232.2780961072604 1135.6276890886925 1204.5535979932483 1311.4774621142865 1151.1852036494886 1234.443083142306 1327.8469733069551 1195.963305270556 1211.0804693811149 1063.9201147078329 1119.9334627068492 1075.5103543038313 1136.6577171103227 1370.9779639919948 1326.6157407543601 1152.8626149235977 1237.317378243752 1184.4041484350837 1113.8009684449089 1248.2056440226677 1130.823585392036 1150.8741888387358 1113.4769179227592 1245.0331103365877 1137.7911692572043 1232.1660690088434 1308.9414755636913 1114.1197793982155 1130.3791379994686 1217.7697751602573 1146.520758193109 1298.0102370875509 1214.4104779494605 1235.9088096718192 1103.4638639439779 1103.1851272185775 1069.5052550911578 1271.1469956713715 1185.026981178549 1117.6204705336386 1134.0412060537994 1314.3146989578127 1128.24303049646 85 1277.5187010446703 1072.5795565050792 1079.1234482973384 1239.1435618295902 1152.0128823771156 1220.9920811716715 1080.5498490501861 1167.9921521380397 1233.8990189653364 1080.2997426437641 1107.5974552550153 1215.5033746130243 1185.4316605549043 1230.5903368069253 1095.8464005991443 1108.1730441477412 1164.2166650248359 1142.0679764920396 1159.4432624313113 1225.8479357624528 1143.7780162839665 1350.3830357447355 1324.4638087302758 1255.4986995501827 1103.6841888571632 1299.471589118215 1096.6799085469313 1176.9460610774659 1179.2759079159177 1255.0250219891773 1170.0588352496716 1127.8918950879311 1254.4025864070618 1194.395169220267 1303.2316566616937 1088.8347502234815 1151.0158720066154 1105.6893452810359 998.00137729779374 1189.4836737779306 1275.6487507303023 1229.8159139959582 1194.6410095847716 1364.6667727762378 1199.3964083357387 1158.6986570399167 1196.0570890680933 1202.7981750557637 1195.3213061378192 1218.3787372895345 1217.6975177578074 1237.3769948615547 1217.1421696504299 1211.2077703668385 1146.3683624276587 1248.7466081917685 1203.3102463405767 1236.4772021135896 1173.8757623820302 1152.8709670099045 1192.7647735391265 1138.6847383569284 1220.800446583175 922.17304019428616 1140.2253517257038 1206.0711801130537 1250.3755814583487 1216.2430677982902 1222.3706519344264 1148.6216516000452 1212.9815180606365 1203.3040726309741 1051.1810041856806 1209.2635136759857 1104.3159547317268 1173.5119937422546 1224.8767933171773 1185.1975364745758 1168.5 121724193639 1163.7628699839195 1185.7696690762823 1185.1544428591747 1115.5252526992763 1227.4655374224444 1332.338026402914 1163.5050605778461 1290.5528488804007 1147.87166188883 1204.8639065072589 1335.2636945028364 1322.8628281539043 1398.0160749158722 1008.1256635001738 1191.8278081838253 1278.2572397819119 1178.3718828152912 1268.7561461601056 1185.8447426710968 1249.1206422971661 1143.5862166966247 1148.7588042243724 1208.5286689851341 1006.8822351248136 1200.4506585328772 1154.4391675116044 1248.771767155175 1164.5314034951493 1108.0671485253465 1188.1148845577802 1166.3843709418231 1228.0656889073291 1024.8956445798337 1150.6628045607924 939.77932115220119 1153.7023609566984 1215.8975099447757 1122.0642046905812 1212.2832107456663 1038.2073590955151 1136.2406260508012 1181.3266360421239 1117.1814290769812 1127.7944156492408 1242.7725940612522 1169.4591337538873 1129.0766686541483 1108.5371772909116 1060.6391501605663 1195.701832378978 1179.1114014211053 1098.3872396303075 1147.3680843595805 1117.2146344877419 1216.0516544008563 1141.8169148386651 1267.6698925748137 1194.5748208230661 1171.8710232056283 1091.727749183575 1224.8581559241652 1174.8810257055779 1230.6557539715807 1124.1478819272756 1097.7717457124086 1148.7939125028086 1219.3321590634455 1066.4437915754868 1226.4943650638174 1255.2644227264534 1254.1973080643395 1181.7257723035784 1231.1236809721706 1053.5049671071793 1273.7991275933177 1313.5309256664696 1326.662118748347 1115.0516417494 1351 .1706211218213 1170.7327687178069 1279.4479334131076 1207.0398949245764 1234.5480960614104 1131.561652007897 1108.9850046591996 1212.0757335508208 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9308.6101518759206 1742.0348347140707 11866.135799516733 8057.0156430773986 202.18874632403356 3005.949505447184 5775.387213242082 43283.5 37803999461 18312.782001707958 1052.0600643121913 1425.8453820945977 5858.5603017178491 1212.0222742082501 56.10616990874464 41.486464502036846 14234.411183755024 406.27602941447134 9051.6618906663371 1039.8561132157151 9948.276785254533 7.1945456821069609 4864.1781353445804 1306.6062300537817 1169.8067432493069 12991.833761409496 6459.6346409201769 177.29551106706396 9101.3699446684659 41410.593401441598 445.8310845891416 2441.6345028147348 9481.7758799586354 25935.708107628856 4.8715837071876003 24733.338006514889 8.5754366296739928 417.59091807214185 107.41667242546013 446.84984192863021 384.05864694572261 252.49006598747948 692.6542004914462 2189.6221160313394 3844.208777386556 302.70702552499233 356.21671401989204 350.69817667844904 4022.2446227905375 5686.3136944527359 9314.4151867600249 11605.125298990419 10975.052623662541 660.73636687351143 12032.750699597047 10904.50133789585 35387.220586637297 4924.080103866042 3208.6515688907693 18187.301905832017 13356.4516569026 7135.1520575490831 7694.3046683186294 6923.1602936937006 160.98211047007928 10342.339042805854 3140.5672606085218 2.2632543443567639 3401.2389400947936 3771.4510382113717 1760.1960302697855 10891.409296327392 3815.6102681664443 300.46203471859332 13222.703886402483 3962.4125362151085 103.68489362500961 293.6091172763638 1595.4582163214079 4237.9757104287573 3470.2827114687198 1863.4019542008336 6903.5292702662009 70.51022280430162 3459.0710225810722 467.7216550523778 7889.8955294692496 2222.02 61596858868 3676.344683139896 1123.5631156564077 4644.3515329133215 12069.377289475482 445.52296156030928 5899.9399306858095 393.52860461667649 181.61975307161023 5951.1339698072588 6941.3251578922809 4132.1288946964578 9095.327320223043 2920.4273769464271 4528.4634837601607 2283.9989773091502 2940.4150784181575 1177.1631079676895 124.8697533818694 1542.1828018271262 7209.8679770204117 12037.247563258932 26533.698708570952 848.66397864822261 5703.8043824647784 158.47412728342388 57856.285066574965 211.08732781334857 1010.4740938591127 13238.839404511747 2247.859717406825 6468.3162784917977 31583.179856663461 1219.1664430146889 428.98360056799612 1671.2483550263705 11344.994202839602 4488.07010776281 40.158345835890415 5195.2554751096322 15601.407371782352 211.04731779907885 4967.1047203961562 5569.5603067173442 13396.256516991964 2439.8136439309742 25141.388684393089 58.232735719359148 22942.516524455223 998.95520881212008 544.21590942338992 103.51255354920072 1358.363588089456 6290.5591358003931 33.340083489824536 20.646762176575908 3474.2508800090663 19846.370564585257 166.41778783308683 2988.1032803155854 4499.4325616671113 8627.287448189476 518.49396596073541 1109.4970753606256 6962.9250599578045 2965.8573190676557 63765.201184876394 6741.2784550780607 3934.6461956827998 86.600914815149068 17216.103519398741 61066.232204270898 889.19159299605599 6797.568146440246 2079.0656279548189 2.4235230136524146E-2 11680.136787307445 2477.2465203337383 1.1907491870002163 15647.725360919456 22137.186239934075 4509.3361323122563 7846.5303629832461 15.311856883110465 2331.0093788708959 59094.567377588086 674.30234137375317 0.28512001385129848 692.53645599310039 2334.3162304185548 3433.9403107204598 4615.0563969607529 28676.984330971671 3300.9937251492006 642.89382828201803 4261.8905222294188 9976.3121661474688 42937.781425582769 2954.3028501253229 306.74908869612989 6575.7525910231125 8589.7751273234026 11832.279336090405 5439.4834801284305 9882.085487920931 5837.9444665968404 2614.8275776688697 1279.7701628529721 438.86581840897429 20471.097134542808 1987.0900760188297 116.06047453571975 232.40129712361917 19985.066672480771 5270.1807562893709 3164.9293516498196 2961.8459225008305 13.95313590588075 1540.6643518480362 2392.1551935889547 85.781266570616538 759.67543927826557 2709.2744164436026 2210.7151873176595 37237.02384971991 10288.52914740646 7355.5530823889403 1828.2884542523527 592.32522303959138 16142.567914482075 427.77668576887555 6726.0628297093745 1038.7418148341915 973.28581579493732 61.714153655617977 98.932013220260373 686.6970847544693 303.63333284530734 16981.104393938946 1520.636988661586 3440.9454602409114 10327.845794563138 832.80339466666487 370.37152778922245 3328.8484987506959 41007.05461818647 4262.4633477175103 626.45126287869675 3679.8336642412128 2850.6709055546489 20784.871032330739 1581.5942244815974 723.93971311699283 205.98216069000821 196.13009007344255 184.46572964634905 6430.5940565161191 501.45342392648087 5800.3044963808788 4322.410743282896 922.99254279044851 1160.8714415980999 5687.4497507936894 3541.8578331860367 5034.6772984755598 12348.30888015749 233.40040127184079 1628.8828733865357 16816.24468019581 8832.392658243265 319.72584032120579 0.55305763968137989 2.1317477519694106 294.11276379520694 0.70266529210314022 21219.310254104643 5841.333311459437 2771.3520475489449 21019.936902501173 1174.5450743882936 2532.5948152345004 7620.2788443804366

Normality

When you are constructing the residual Observation Residuals percentile z-value expected residuals Residuals
normality plot, you will first want to take 1 -240.5333346266 0.0006248438 -3.2272899458 -256.4047668103 -240.5333346266
the residuals from your regression and 2 -208.9067630228 0.0016245939 -2.9431235011 -233.8280438574 -208.9067630228
sort them from lowest to highest. Next, 3 -208.0469605738 0.0026243439 -2.7913611102 -221.7706826941 -208.0469605738
take the observation numbers and past them 4 -207.8870578299 0.003624094 -2.6852209171 -213.3379568121 -207.8870578299
to the left of the sorted residuals. Following, 5 -203.0034559975 0.004623844 -2.6027592011 -206.7864608462 -203.0034559975
you will create the percentile of the 6 -202.5019867018 0.0056235941 -2.5349235087 -201.3969869557 -202.5019867018
distribution that the residual resides in. So, you 7 -201.8955925531 0.0066233442 -2.4770674022 -196.8003805974 -201.8955925531
will use the formula found in column D for 8 -192.7815304632 0.0076230942 -2.4264776719 -192.781080121 -192.7815304632
the entire range of observations. Next, find the 9 -190.4799488473 0.0086228443 -2.3814274259 -189.201885814 -190.4799488473
inverse of the normal distribution buy using the 10 -188.1149132489 0.0096225944 -2.3407472894 -185.9698920703 -188.1149132489
formula found in column E. At this point, you 11 -185.4562183301 0.0106223444 -2.3036074579 -183.0191718036 -185.4562183301
need to create the expected residuals. To do this 12 -176.5116550739 0.0116220945 -2.2693970907 -180.3011943818 -176.5116550739
multiply the value from column E by the square 13 -174.7554651053 0.0126218445 -2.2376530516 -177.7791641031 -174.7554651053
root of the mean squared error (this is found 14 -174.2886999285 0.0136215946 -2.20801555 -175.4244960085 -174.2886999285
in the ANOVA table from the Regress worksheet.) 15 -173.6936349395 0.0146213447 -2.1801993291 -173.2145267278 -173.6936349395
Lastly, place the original residuals next to the 16 -172.0973384737 0.0156210947 -2.1539742741 -171.130973893 -172.0973384737
expected residuals and create a scattergram. What 17 -170.3499469612 0.0166208448 -2.1291519653 -169.1588677589 -170.3499469612
you want to observe is how closely the graph looks 18 -169.3428012375 0.0176205949 -2.1055761094 -167.2857909877 -169.3428012375
linear. 19 -168.1572181285 0.0186203449 -2.0831155772 -165.5013255024 -168.1572181285 expected residuals Residuals
20 -167.5388683164 0.019620095 -2.0616592377 -163.7966420639 -167.5388683164 expected residuals 1
21 -164.4160195789 0.020619845 -2.0411120585 -162.1641904413 -164.4160195789 Residuals 0.9993441057 1
22 -162.8916778371 0.0216195951 -2.0213921159 -160.5974618991 -162.8916778371
23 -161.3815302224 0.0226193452 -2.0024282721 -159.0908045982 -161.3815302224
24 -158.0882243506 0.0236190952 -1.984158346 -157.6392783317 -158.0882243506
25 -155.2130130536 0.0246188453 -1.9665276589 -156.2385389223 -155.2130130536
26 -152.2904461678 0.0256185954 -1.9494878641 -154.8847452798 -152.2904461678
27 -151.7831681773 0.0266183454 -1.9329959978 -153.5744839741 -151.7831681773
28 -150.6276689012 0.0276180955 -1.9170137019 -152.3047074968 -150.6276689012
29 -148.7857057648 0.0286178455 -1.9015065829 -151.0726833257 -148.7857057648
30 -148.0630197823 0.0296175956 -1.8864436794 -149.8759515949 -148.0630197823
31 -147.2287138923 0.0306173457 -1.8717970156 -148.7122896767 -147.2287138923
32 -146.856484367 0.0316170957 -1.8575412268 -147.5796823608 -146.856484367
33 -146.4846542981 0.0326168458 -1.8436532409 -146.4762965991 -146.4846542981
34 -144.9825399919 0.0336165959 -1.8301120081 -145.4004599984 -144.9825399919
35 -144.1196314233 0.0346163459 -1.8168982688 -144.3506424119 -144.1196314233
36 -143.7361276005 0.035616096 -1.8039943547 -143.3254401067 -143.7361276005
37 -141.8908004542 0.036615846 -1.7913840163 -142.3235620856 -141.8908004542
38 -141.3685490924 0.0376155961 -1.7790522739 -141.3438182188 -141.3685490924
39 -140.7578072468 0.0386153462 -1.7669852872 -140.3851089057 -140.7578072468
40 -140.6607411054 0.0396150962 -1.7551702414 -139.4464160345 -140.6607411054
41 -139.7069038049 0.0406148463 -1.7435952477 -138.5267950487 -139.7069038049
42 -138.1296961084 0.0416145964 -1.7322492551 -137.6253679608 -138.1296961084
43 -137.1371089283 0.0426143464 -1.7211219729 -136.7413171809 -137.1371089283
44 -137.1242322644 0.0436140965 -1.7102038017 -135.873880048 -137.1242322644
45 -136.9325178276 0.0446138465 -1.6994857723 -135.0223439691 -136.9325178276
46 -136.9210636663 0.0456135966 -1.6889594912 -134.1860420881 -136.9210636663
47 -136.9007446992 0.0466133467 -1.6786170919 -133.3643494151 -136.9007446992
48 -136.2064585319 0.0476130967 -1.6684511909 -132.5566793588 -136.2064585319
49 -135.3247279757 0.0486128468 -1.6584548494 -131.7624806131 -135.3247279757
50 -134.8603051525 0.0496125969 -1.6486215369 -130.9812343539 -134.8603051525
51 -133.3510591855 0.0506123469 -1.6389451002 -130.2124517109 -133.3510591855
52 -132.9253644384 0.051612097 -1.6294197343 -129.4556714822 -132.9253644384
53 -132.2849759924 0.052611847 -1.6200399564 -128.7104580633 -132.2849759924
54 -131.2101502148 0.0536115971 -1.6108005821 -127.9763995677 -131.2101502148
55 -130.7388585318 0.0546113472 -1.6016967042 -127.2531061185 -130.7388585318
56 -130.3115666161 0.0556110972 -1.592723673 -126.5402082905 -130.3115666161
57 -129.4329585024 0.0566108473 -1.583877078 -125.8373556901 -129.4329585024
58 -127.7384831779 0.0576105974 -1.5751527321 -125.1442156558 -127.7384831779
59 -127.1329299005 0.0586103474 -1.5665466565 -124.4604720694 -127.1329299005
60 -127.125959687 0.0596100975 -1.5580550668 -123.7858242645 -127.125959687
61 -127.0534057571 0.0606098475 -1.5496743605 -123.1199860258 -127.0534057571
62 -124.5986549037 0.0616095976 -1.5414011053 -122.4626846666 -124.5986549037
63 -122.334637371 0.0626093477 -1.5332320286 -121.8136601809 -122.334637371
64 -121.9959512785 0.0636090977 -1.5251640076 -121.1726644603 -121.9959512785
65 -120.5629061577 0.0646088478 -1.5171940601 -120.5394605709 -120.5629061577
66 -117.3120156239 0.0656085979 -1.509319336 -119.913822085 -117.3120156239
67 -116.8871416044 0.0666083479 -1.5015371098 -119.295532462 -116.8871416044
68 -116.828208107 0.067608098 -1.4938447733 -118.6843844746 -116.828208107
69 -115.6738460828 0.068607848 -1.4862398286 -118.0801796764 -115.6738460828
70 -115.5701157605 0.0696075981 -1.4787198822 -117.4827279067 -115.5701157605
71 -115.0601555905 0.0706073482 -1.4712826392 -116.8918468309 -115.0601555905
72 -114.9900164641 0.0716070982 -1.4639258977 -116.3073615115 -114.9900164641
73 -114.6554242407 0.0726068483 -1.4566475439 -115.729104009 -114.6554242407
74 -113.981725559 0.0736065984 -1.4494455473 -115.1569130091 -113.981725559
75 -113.5015180646 0.0746063484 -1.4423179565 -114.5906334747 -113.5015180646
76 -113.2116771233 0.0756060985 -1.4352628951 -114.0301163206 -113.2116771233
77 -113.0378904384 0.0766058485 -1.4282785576 -113.4752181093 -113.0378904384
78 -110.5275128961 0.0776055986 -1.4213632062 -112.9258007655 -110.5275128961
79 -109.8607176814 0.0786053487 -1.414515167 -112.3817313093 -109.8607176814
80 -109.7143908667 0.0796050987 -1.4077328273 -111.8428816055 -109.7143908667
81 -108.9597216176 0.0806048488 -1.4010146323 -111.309128128 -108.9597216176
82 -108.9317942546 0.0816045989 -1.3943590824 -110.7803517391 -108.9317942546
83 -108.8750742843 0.0826043489 -1.3877647306 -110.256437481 -108.8750742843
84 -108.0746815277 0.083604099 -1.3812301803 -109.7372743807 -108.0746815277
85 -107.8194330495 0.084603849 -1.3747540824 -109.2227552654 -107.8194330495
86 -107.7270871183 0.0856035991 -1.3683351337 -108.7127765884 -107.7270871183
87 -107.1762597514 0.0866033492 -1.3619720743 -108.2072382663 -107.1762597514
88 -106.0469075926 0.0876030992 -1.3556636863 -107.7060435233 -106.0469075926
89 -105.7194564622 0.0886028493 -1.3494087914 -107.2090987458 -105.7194564622
90 -105.6324720952 0.0896025994 -1.3432062492 -106.716313344 -105.6324720952
91 -104.4246203627 0.0906023494 -1.3370549561 -106.2275996218 -104.4246203627
92 -103.3775536544 0.0916020995 -1.330953843 -105.742872653 -103.3775536544
93 -102.8930487384 0.0926018495 -1.3249018745 -105.2620501643 -102.8930487384
94 -102.1391151685 0.0936015996 -1.3188980469 -104.7850524247 -102.1391151685
95 -101.8059601606 0.0946013497 -1.3129413874 -104.3118021403 -101.8059601606
96 -101.5444753303 0.0956010997 -1.3070309526 -103.8422243548 -101.5444753303
97 -100.6094737228 0.0966008498 -1.3011658272 -103.3762463549 -100.6094737228
98 -99.7410486473 0.0976005999 -1.2953451231 -102.9137975802 -99.7410486473
99 -99.511659412 0.0986003499 -1.2895679782 -102.4548095385 -99.511659412
100 -99.4086791378 0.0996001 -1.2838335554 -101.9992157239 -99.4086791378
101 -99.285462984 0.10059985 -1.2781410417 -101.5469515405 -99.285462984
102 -98.9227018072 0.1015996001 -1.2724896471 -101.0979542282 -98.9227018072
103 -98.4695053893 0.1025993502 -1.2668786039 -100.6521627933 -98.4695053893
104 -98.3371334633 0.1035991002 -1.2613071658 -100.2095179417 -98.3371334633
105 -98.1348635812 0.1045988503 -1.2557746071 -99.7699620156 -98.1348635812
106 -97.8126392075 0.1055986003 -1.2502802219 -99.3334389328 -97.8126392075
107 -97.5485850008 0.1065983504 -1.2448233234 -98.8998941292 -97.5485850008
108 -97.4213741824 0.1075981005 -1.2394032433 -98.4692745035 -97.4213741824
109 -96.9747013314 0.1085978505 -1.2340193308 -98.0415283647 -96.9747013314
110 -96.5112179322 0.1095976006 -1.2286709526 -97.616605382 -96.5112179322
111 -95.1910894239 0.1105973507 -1.2233574916 -97.1944565365 -95.1910894239
112 -94.7511564244 0.1115971007 -1.2180783468 -96.7750340757 -94.7511564244
113 -93.9808100531 0.1125968508 -1.2128329326 -96.3582914693 -93.9808100531
114 -93.710547942 0.1135966008 -1.207620678 -95.9441833672 -93.710547942
115 -92.6810397402 0.1145963509 -1.2024410267 -95.5326655597 -92.6810397402
116 -92.5756184008 0.115596101 -1.1972934361 -95.1236949385 -92.5756184008
117 -91.312842918 0.116595851 -1.192177377 -94.7172294601 -91.312842918
118 -91.2119599913 0.1175956011 -1.1870923331 -94.3132281106 -91.2119599913
119 -90.4761272569 0.1185953512 -1.1820378007 -93.9116508715 -90.4761272569
120 -89.4876461799 0.1195951012 -1.1770132884 -93.5124586874 -89.4876461799
121 -88.8250838979 0.1205948513 -1.1720183161 -93.1156134352 -88.8250838979
122 -87.8297199062 0.1215946013 -1.1670524155 -92.7210778933 -87.8297199062
123 -87.7640351601 0.1225943514 -1.162115129 -92.328815714 -87.7640351601
124 -87.4021583279 0.1235941015 -1.1572060098 -91.938791395 -87.4021583279
125 -87.2715951966 0.1245938515 -1.1523246214 -91.5509702536 -87.2715951966
126 -86.925753278 0.1255936016 -1.1474705371 -91.1653184008 -86.925753278
127 -86.8947661979 0.1265933517 -1.1426433401 -90.7818027173 -86.8947661979
128 -86.6561482428 0.1275931017 -1.137842623 -90.4003908293 -86.6561482428
129 -85.7645211168 0.1285928518 -1.1330679874 -90.0210510867 -85.7645211168
130 -85.3833024085 0.1295926018 -1.1283190437 -89.6437525408 -85.3833024085
131 -84.9397629421 0.1305923519 -1.1235954109 -89.2684649235 -84.9397629421
132 -84.9109414447 0.131592102 -1.1188967165 -88.8951586271 -84.9109414447
133 -84.8855292467 0.132591852 -1.1142225957 -88.5238046849 -84.8855292467
134 -84.8636075973 0.1335916021 -1.1095726919 -88.1543747527 -84.8636075973
135 -84.287874245 0.1345913522 -1.1049466558 -87.7868410903 -84.287874245
136 -84.2087951743 0.1355911022 -1.1003441458 -87.4211765447 -84.2087951743
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804 67.1515906909 0.803424144 0.853915678 67.8426958715 67.1515906909
805 67.6070671598 0.804423894 0.8575296931 68.1298255413 67.6070671598
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807 67.7604827744 0.8064233942 0.8647915467 68.7067721194 67.7604827744
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815 69.7436601803 0.8144213947 0.8943078319 71.0518097077 69.7436601803
816 69.7751385028 0.8154211447 0.8980522192 71.3492973113 69.7751385028
817 69.9414723826 0.8164208948 0.9018092402 71.6477886429 69.9414723826
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826 73.054275315 0.8254186453 0.9362145965 74.381257755 73.054275315
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848 78.676879808 0.8474131467 1.0254016572 81.4670752277 78.676879808
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914 102.6989736514 0.9133966508 1.3619720743 108.2072382663 102.6989736514
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916 103.509700648 0.915396151 1.3747540824 109.2227552654 103.509700648
917 103.7882392226 0.916395901 1.3812301803 109.7372743807 103.7882392226
918 104.2325715306 0.9173956511 1.3877647306 110.256437481 104.2325715306
919 104.3619149706 0.9183954011 1.3943590824 110.7803517391 104.3619149706
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921 104.7618853575 0.9203949013 1.4077328273 111.8428816055 104.7618853575
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926 108.7762811282 0.9253936516 1.4423179565 114.5906334747 108.7762811282
927 109.6300450868 0.9263934016 1.4494455473 115.1569130091 109.6300450868
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929 110.624793635 0.9283929018 1.4639258977 116.3073615115 110.624793635
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931 110.6648780601 0.9303924019 1.4787198822 117.4827279067 110.6648780601
932 111.1229448861 0.931392152 1.4862398286 118.0801796764 111.1229448861
933 111.8208928914 0.932391902 1.4938447733 118.6843844746 111.8208928914
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938 116.492778306 0.9373906523 1.5332320286 121.8136601809 116.492778306
939 117.4891925445 0.9383904024 1.5414011053 122.4626846666 117.4891925445
940 118.694389383 0.9393901525 1.5496743605 123.1199860258 118.694389383
941 119.30805163 0.9403899025 1.5580550668 123.7858242645 119.30805163
942 119.3265030299 0.9413896526 1.5665466565 124.4604720694 119.3265030299
943 122.7005058284 0.9423894026 1.5751527321 125.1442156558 122.7005058284
944 122.9939147796 0.9433891527 1.583877078 125.8373556901 122.9939147796
945 123.4476280788 0.9443889028 1.592723673 126.5402082905 123.4476280788
946 124.6089903185 0.9453886528 1.6016967042 127.2531061185 124.6089903185
947 124.905593837 0.9463884029 1.6108005821 127.9763995677 124.905593837
948 125.0908684154 0.947388153 1.6200399564 128.7104580633 125.0908684154
949 125.3893244902 0.948387903 1.6294197343 129.4556714822 125.3893244902
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951 125.5809504229 0.9503874031 1.6486215369 130.9812343539 125.5809504229
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953 128.2319637781 0.9523869033 1.6684511909 132.5566793588 128.2319637781
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955 131.0042540314 0.9543864034 1.6889594912 134.1860420881 131.0042540314
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961 140.8771470629 0.9603849038 1.7551702414 139.4464160345 140.8771470629
962 143.077241847 0.9613846538 1.7669852872 140.3851089057 143.077241847
963 143.2369802206 0.9623844039 1.7790522739 141.3438182188 143.2369802206
964 144.1695912193 0.963384154 1.7913840163 142.3235620856 144.1695912193
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966 145.6684943771 0.9653836541 1.8168982688 144.3506424119 145.6684943771
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968 150.2335894165 0.9673831542 1.8436532409 146.4762965991 150.2335894165
969 151.4678729119 0.9683829043 1.8575412268 147.5796823608 151.4678729119
970 155.0148839153 0.9693826543 1.8717970156 148.7122896767 155.0148839153
971 157.2683630185 0.9703824044 1.8864436794 149.8759515949 157.2683630185
972 158.5603629045 0.9713821545 1.9015065829 151.0726833257 158.5603629045
973 161.0456708752 0.9723819045 1.9170137019 152.3047074968 161.0456708752
974 163.070385563 0.9733816546 1.9329959978 153.5744839741 163.070385563
975 163.5842268234 0.9743814046 1.9494878641 154.8847452798 163.5842268234
976 168.0861314882 0.9753811547 1.9665276589 156.2385389223 168.0861314882
977 168.2722986773 0.9763809048 1.984158346 157.6392783317 168.2722986773
978 168.3489142913 0.9773806548 2.0024282721 159.0908045982 168.3489142913
979 169.1372697913 0.9783804049 2.0213921159 160.5974618991 169.1372697913
980 173.7662956735 0.979380155 2.0411120585 162.1641904413 173.7662956735
981 173.7965533005 0.980379905 2.0616592377 163.7966420639 173.7965533005
982 177.2048833469 0.9813796551 2.0831155772 165.5013255024 177.2048833469
983 177.7165716996 0.9823794051 2.1055761094 167.2857909877 177.7165716996
984 180.8374821094 0.9833791552 2.1291519653 169.1588677589 180.8374821094
985 181.1013754354 0.9843789053 2.1539742741 171.130973893 181.1013754354
986 183.688676119 0.9853786553 2.1801993291 173.2145267278 183.688676119
987 184.6759336787 0.9863784054 2.20801555 175.4244960085 184.6759336787
988 187.6592567534 0.9873781555 2.2376530516 177.7791641031 187.6592567534
989 192.9689712097 0.9883779055 2.2693970907 180.3011943818 192.9689712097
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992 197.5704360539 0.9913771557 2.3814274259 189.201885814 197.5704360539
993 198.986351738 0.9923769058 2.4264776719 192.781080121 198.986351738
994 203.4959296926 0.9933766558 2.4770674022 196.8003805974 203.4959296926
995 206.0960561491 0.9943764059 2.5349235087 201.3969869557 206.0960561491
996 207.2143369209 0.995376156 2.6027592011 206.7864608462 207.2143369209
997 212.5765509427 0.996375906 2.6852209171 213.3379568121 212.5765509427
998 243.0937419548 0.9973756561 2.7913611102 221.7706826941 243.0937419548
999 247.1158275066 0.9983754061 2.9431235011 233.8280438574 247.1158275066
1000 252.5177244965 0.9993751562 3.2272899458 256.4047668103 252.5177244965

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36.462025348422912 36.482315506687428 36.855984427083968 37.45573119423625 37.679554658482857 38.14857784720266 38.29872247990329 38.491314383564941 38.533161195046432 38.762141269756057 38.995345730761073 39.004671321396245 39.402651169056071 39.769262307485633 39.943187358064051 40.359421123035645 40.449505061555556 40.464828936022514 40.673254522675506 40.880904527986786 41.098282080457693 41.118224186287534 41.234270541781598 41.737690816743452 41.747674088355097 42.758489849997659 43.16713975005564 44.14446048747709 44.150926490475058 44.169431521422666 44.285932724319082 44.576788534155639 45.448415416589796 45.844560441420072 46.479174187048102 46.501178844058359 46.793398209911402 47.1157409244679 47.791201881 822872 48.28052794730911 48.909663601265493 48.998287913814011 49.162602173715868 49.336172117482647 49.394469770724072 49.412898142233416 49.712329818443095 50.523375147952493 50.621487102584979 51.070200425373741 51.135384790464514 51.22173339933056 51.296713153926703 51.538612633704815 52.050690835411615 52.535860250224459 52.643632545151604 53.391674496635233 54.057740767385667 54.353498968560643 54.826540155723706 55.072559087803484 55.253280272836037 55.255892184691447 55.337630598389069 55.512293729737166 55.74778565906081 56.257704820316121 56.374735310171673 56.595159516062267 56.644960666336146 56.834936208142153 56.864635673408657 56.879182072310414 56.940995676373859 57.454275081574224 57.696174039105017 57.747877415945595 57.855694792519898 57.900033818772044 58.214489930221362 58.320141804481182 58.340263690284473 58.492145580095894 58.65957262238544 58.813867604342022 58.909105505589878 59.151971531849995 59.512366062998353 59.513509669536688 59.637286777947338 59.862251538886198 60.030318759688726 60.184439744291694 60.352723257946991 60.35964003651452 60.369555610144744 60.44541550527515 60.561458062431029 60.596982285354215 60.632868010179891 60.986809892112205 61.412140804659884 61.993340287218416 62.065729744479995 62.411593978997416 62.735282248808744 63.048371434869978 63.707271848807522 63.854730801807818 64.281637305660297 64.844627327696116 65.099736638705053 65.287543587712889 65.487535286763205 65.745043488333749 65.905185979076123 66. 170574516400848 66.691815757175618 66.844626559803601 66.993060146277912 67.024638267739647 67.077809756037141 67.151590690855983 67.607067159781536 67.649757645603586 67.760482774409184 67.934206383535184 68.149479329730184 68.470277754551944 68.895204737284985 69.164348738394438 69.540624431226661 69.553296227446253 69.743660180295819 69.775138502782966 69.941472382578468 70.171789943438398 70.71086398081593 70.955459962398663 71.633595180260954 71.963945926894212 72.237154170340091 72.596010608637243 72.865261310372944 73.05427531495161 73.595607142449353 73.63923619551133 73.687476254389367 73.861123822536683 73.876075293495887 74.134006494174173 74.712662169740724 75.415182495262115 75.50098942730142 75.54866168528315 75.984875012055227 75.99596840123877 76.08177340177599 76.144570434453726 76.811066459760923 76.885710227337313 77.143593187038277 77.313203139972302 77.460137962624685 78.000007426349612 78.503887733173315 78.676879807986325 79.248620751408225 79.821261235003249 80.190984883065994 80.231966057235695 80.425843349583829 81.273210897675881 81.793309669119935 82.345363686174551 83.205530427332178 83.536385925960758 83.667236238016812 83.913251390609275 84.033464499475713 84.469829273824644 84.535033579108813 85.165715434917047 85.785660919962538 85.801108695886796 87.29420853859915 87.645119081304301 87.717185706785131 87.736139076770996 87.88663826002869 88.580643274833164 88.588419577647755 88.698923166012037 89.760880360418696 90.064359129728473 90.40188374758668 91.369939493345328 92.460931432282223 92.625350454967702 92.813163312929191 92.883192495679623 93.136667224061739 93.566150855489241 94.095331693674552 94.378200470837555 94.455240354831176 95.140222254661239 95.369425500120542 95.401100332587703 95.481885443634155 95.699425539665981 95.877131218674094 96.481138840065114 96.608682227325971 97.374410806734204 97.611328577959057 98.125991806896764 99.63743922834351 99.881490608357808 99.935888040765121 100.01319213670286 100.19644001904362 100.3422200316511 100.4829522324128 101.0883103130102 101.14828812111273 101.43238707339219 101.62600943933171 101.63946522250399 101.69729122649164 101.88150487108601 102.50633295922626 102.69897365143106 103.40235312187474 103.50970064798844 103.78823922256356 104.23257153063309 104.36191497058394 104.73717459835825 104.76188535752181 105.69287865865931 106.5128828022207 108.09565920906266 108.27110451220324 108.77628112824232 109.63004508676818 109.6938954527418 110.62479363501075 110.63845620661687 110.6648780601231 111.12294488609223 111.82089289140981 112.31239688692995 114.67746180392351 115.7421985145952 116.16961770779585 116.4927783060416 117.48919254448856 118.69438938298254 119.3080516300347 119.32650302993534 122.70050582840395 122.99391477962445 123.44762807880716 124.60899031848112 124.90559383703498 125.09086841540216 125.38932449020012 125.46092139140319 125.58095042285481 127.42970333203971 128.23196377809131 129.67746404135073 131.0042540313566 133.72716570946977 138.42269428079157 139.51584210099395 140.65708833659414 140.81838484374498 140.87714706291172 143.07724184699259 143.2369802206174 144.16959121926766 145.44202066278058 145.66849437714609 149.13397854630875 150.23358941648553 151.46787291189912 155.0148839153162 157.26836301848789 158.56036290445695 161.04567087515534 163.07038556303428 163.58422682343735 168.086131488212 168.27229867730011 168.34891429127424 169.13726979126545 173.76629567350324 173.79655330053947 177.20488334693073 177.71657169961236 180.83748210942849 181.1013754353844 183.68867611904329 184.67593367871018 187.6592567533653 192.96897120967378 195.69676311740409 196.89799372602147 197.57043605387821 198.98635173795265 203.4959296925656 206.09605614914403 207.21433692093501 212.57655094274378 243.09374195480245 247.11582750659841 252.51772449647251

Hettest

To do a Bruesch-Pagan test first obtain the residuals then obtain the squared residuals. Residuals Resid2 p price income compp pop subp SUMMARY OUTPUT
next find the model variance as the sum of squared residuals divided by the -208.9067630228 43642.0356366817 6.955724871 12.3450155258 50152.8359375 10.2253665924 45431.60546875 11.1112661362 Test stat is (1/2)*ESS. This is seen below as
sample size. Then divide the squared residuals by the variance and call this p 26.3228962642 692.8948677361 0.1104344927 11.9463376999 50311.06640625 10.8434724808 45569.74609375 11.5821666718 Regression Statistics the regression sum of squares. Test at
regress p on the independent variables. Get the new explained sum of squares 206.0960561491 42475.5843602311 6.7698143369 12.0997076035 50480.96875 10.4844760895 46430.6796875 11.796377182 Multiple R 0.0850825135 95% level of significance
and divide that by one half. This result follows a chi-square distribution with 177.2048833469 31401.5706819993 5.0048235146 13.0429363251 49208.01953125 10.5162649155 45683.53515625 11.8868293762 R Square 0.0072390341
k - 1 degrees of freedom where k is the number of regressors including the 69.5406244312 4835.8984462849 0.7707518361 13.1354808807 49884.12109375 10.3832073212 45438.30859375 11.499753952 Adjusted R Square 0.0022452667 Test statistic 7.3127747842
constant. If test stat is less than critical then there is no evidence of 41.0982820805 1689.0687899649 0.2692059988 11.9741249084 50053.1640625 10.4953584671 45971.875 12.9456853867 Standard Error 1.4205121091 Chi-square 11.0704976935
heteroskedasticity . -37.7592970855 1425.764516391 0.2272402183 12.3281431198 50425.05859375 10.8106184006 46057.1796875 12.0879230499 Observations 1000
-76.1527786404 5799.2456946473 0.9242913838 12.9902687073 49987.15625 10.8315753937 45431.68359375 12.4810009003 No evidence of non-constant variance
Model Variance = sumsq/n -39.0009365208 1521.0730495012 0.2424306173 12.6029129028 49967.86328125 10.0169811249 45129.0625 11.6693782806 ANOVA
n 1000 12.870365735 165.6463141537 0.0264009268 12.0831079483 50899.8515625 10.0729627609 45702.76953125 11.6187324524 df SS MS F Significance F
sumsq 6274261.33813192 39.4026511691 1552.5689191503 0.2474504703 11.6434831619 50404.55078125 10.2579460144 45826.01953125 12.0075359344 Regression 5 14.6255495684 2.9251099137 1.449613782 0.203904419
sumsq/n 6274.2613381319 -84.8636075973 7201.8318944311 1.1478374117 12.5655908585 49670.7578125 10.303606987 45288.23828125 10.723282814 Residual 994 2005.7475241442 2.0178546521
19.4182388177 377.0679987824 0.0600975921 11.540971756 49962.08984375 10.4645662308 45897.2421875 11.6297826767 Total 999 2020.3730737127
73.8760752935 5457.6745007703 0.869851319 12.2964954376 50226.8671875 10.4373874664 45559.26953125 11.7554330826
108.0956592091 11684.6715398418 1.862318273 12.3268947601 49618.72265625 10.4923858643 46608.34765625 11.5305786133 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
-140.7578072468 19812.7603009304 3.1577837188 12.2581062317 50458.49609375 10.0428104401 45803.8828125 11.097495079 Intercept -12.7576858062 8.112599861 -1.5725767356 0.1161350859 -28.6774740068 3.1621023945 -28.6774740068 3.1621023945
76.8857102273 5911.4124371621 0.9421686663 11.6504087448 49232.6484375 10.3509702682 45354.65625 11.3777294159 price 0.132572098 0.0970327873 1.3662608446 0.1721661026 -0.0578405255 0.3229847215 -0.0578405255 0.3229847215
-50.3242765769 2532.5328129849 0.4036384008 13.5748376846 49783.6796875 10.2321205139 45678.984375 12.1632137299 income 0.0000889306 0.0001064664 0.8352918221 0.4037541425 -0.0001199942 0.0002978554 -0.0001199942 0.0002978554
100.4829522324 10096.8236893414 1.6092450004 11.6463384628 49591.74609375 10.5007600784 46100.77734375 11.753695488 compp -0.0208866213 0.1760799936 -0.1186200709 0.9056003301 -0.3664178015 0.3246445589 -0.3664178015 0.3246445589
-31.173086461 971.7613195063 0.1548805934 12.8019571304 50446.52734375 10.4361085892 45910.0625 12.6830768585 pop 0.0001452379 0.0001265899 1.1473103083 0.2515294663 -0.0001031762 0.000393652 -0.0001031762 0.000393652
-71.7146348437 5142.9888507587 0.8196963074 12.3618679047 50260.046875 10.2574958801 45744.3203125 10.8469324112 subp 0.1072744729 0.1047870445 1.0237379379 0.3062081466 -0.0983547439 0.3129036897 -0.0983547439 0.3129036897
103.4023531219 10692.0466311409 1.7041124134 12.6948060989 50850.70703125 10.3274078369 46488.84765625 11.7009754181
-42.2239846199 1782.8648771792 0.2841553421 12.1595869064 49525.11328125 10.3058748245 46036.078125 11.7835617065
-16.4153056277 269.4622588506 0.0429472482 11.841044426 50017.96484375 10.4418392181 45840.34375 11.6851119995
-2.8717333836 8.2468526263 0.0013143942 11.2205562592 49183.6015625 10.5166511536 45614.59765625 11.0607089996 RESIDUAL OUTPUT
94.0953316937 8853.9314465426 1.4111512048 11.7323942184 49867.6171875 10.4826841354 46203.55078125 11.7612571716
-6.0221555945 36.266358004 0.0057801797 12.3816432953 49068.90625 9.7024526596 46203.73046875 11.5329093933 Observation Predicted p Residuals
-51.000035987 2601.003670677 0.4145513759 12.3228998184 49578.73046875 10.3889131546 46018.640625 11.4192047119 1 0.9158112526 6.0399136184
90.0643591297 8111.5887854487 1.292835658 12.0516242981 49889.5625 10.327796936 45528.5703125 12.1359186172 2 0.9346979378 -0.8242634451
-74.9123404249 5611.8587479327 0.8944254065 12.501203537 50194.4453125 10.5122070313 45511.125 12.489443779 3 1.1256577478 5.644156589
-35.9547133701 1292.7414135283 0.2060388218 12.394244194 49116.328125 10.1231479645 46483.5078125 11.2310609818 4 1.0380250242 3.9667984904
35.7684199911 1279.3798686588 0.2039092412 11.7456159592 49507.4375 10.1324720383 45755.05859375 11.6771993637 5 1.0360595569 -0.2653077209
24.5329860904 601.8674065136 0.0959264165 12.7313995361 49916.93359375 10.1886281967 44895.7578125 11.9697475433 6 1.1273923837 -0.858186385
26.9022380378 723.7304114398 0.1153491021 11.1291599274 49572.640625 10.2160301208 45996.08203125 11.1067667007 7 1.1211868641 -0.8939466458
-113.2116771233 12816.8838370624 2.0427717537 12.8513870239 50023.87109375 10.7229251862 45507.40234375 11.4891557693 8 1.1209071019 -0.1966157181
-101.8059601606 10364.453524221 1.6519001944 12.614865303 49308.22265625 10.5676765442 45631.77734375 11.2909107208 9 0.9538344763 -0.711403859
10.0557223849 101.1175526823 0.0161162481 12.494017601 49759.58203125 10.7154970169 45954.3203125 12.1425476074 10 1.0445268117 -1.0181258849
68.8952047373 4746.5492357924 0.7565112417 13.4334592819 49952.18359375 10.4889001846 46268.8984375 12.8338861465 11 0.9979430432 -0.7504925728
-105.7194564622 11176.6034746546 1.7813417185 12.1998739243 49928.40234375 10.5928440094 45738.45703125 11.6667499542 12 0.8381046787 0.3097327329
-32.9472715306 1085.5227013099 0.1730120317 12.512758255 50264.17578125 10.6502599716 45268.9375 11.5454759598 13 0.9105099438 -0.8504123517
-103.3775536544 10686.9185995787 1.703295101 12.2709083557 49461.05078125 9.913561821 45784.48828125 11.4941501617 14 0.9991784134 -0.1293270944
70.7108639808 5000.0262849134 0.7969107462 12.8831071854 49837.12890625 10.4498920441 46285.02734375 12.0892696381 15 1.0762219158 0.7860963572
-121.9959512785 14883.0121283366 2.3720739903 11.9419584274 49637.5078125 9.7777528763 46289.046875 11.4555606842 16 0.9878765111 2.1699072076
-27.1947828595 739.5562147734 0.1178714393 12.5218286514 49405.3671875 10.0620689392 45708.0859375 10.305562973 17 0.756678318 0.1854903483
3.9083414563 15.2751329392 0.0024345707 11.8973207474 49896.53515625 10.3810586929 45021 12.1192722321 18 1.1946569367 -0.7910185359
-39.8899118362 1591.2050663033 0.2536083501 12.7503604889 50262.3515625 10.392539978 44774.39453125 11.2917757034 19 0.9336414876 0.6756035127
-89.4876461799 8008.038818815 1.2763317285 12.0989322662 50450.6953125 10.2432460785 46010.50390625 11.6110897064 20 1.2362106734 -1.08133008
-52.8324362203 2791.266316974 0.444875686 12.59633255 50298.85546875 10.6140193939 45767.30859375 11.9970560074 21 0.9439704506 -0.1242741431
-20.8027793985 432.755630701 0.0689731599 12.8310213089 50139.3984375 11.122179985 45942.68359375 11.8286619186 22 1.2389268792 0.4651855342
-53.603448856 2873.3297292587 0.4579550603 13.0487957001 49906.953125 10.638753891 45628.171875 12.0809707642 23 0.9936358161 -0.709480474
-46.4361593547 2156.3168956177 0.3436766146 11.9096317291 49801.59765625 10.3654499054 46314.3125 11.8887195587 24 0.9534065067 -0.9104592585
-143.7361276005 20660.0743776014 3.2928297475 12.6759233475 49786.77734375 10.1926517487 46088.66796875 12.0463199615 25 0.695614739 -0.6943003448
168.2722986773 28315.5665021425 4.5129721215 12.7136363983 50169.19140625 10.0480194092 45878.35546875 11.6440629959 26 0.9856987685 0.4254524363
51.5386126337 2656.2285922071 0.4233531963 12.361325264 49814.0390625 10.1145038605 45929.8046875 11.7511768341 27 0.9925678834 -0.9867877037
10.2402604994 104.8629350952 0.0167131921 11.9870548248 49680.8515625 10.5266742706 45948.3203125 11.8473215103 28 0.9767015771 -0.5621502012
77.4601379626 6000.0729731888 0.9562994988 11.7705202103 49535.4765625 10.3226060867 46592.328125 10.7748641968 29 0.9753653107 0.3174703473
-80.1253658985 6420.074260367 1.0232398548 12.4225893021 49675.46875 10.2352695465 45569.296875 12.6952056885 30 1.0936191722 -0.1991937656
-61.6252797551 3797.6751048895 0.6052784384 13.3605527878 50298 10.4404268265 45723.8984375 12.3471136093 31 0.9979224064 -0.7918835846
-56.5448429483 3197.3192640469 0.5095929372 13.0970077515 49636.23828125 10.4870471954 45987.10546875 11.7342233658 32 0.888580049 -0.6846708077
41.7476740884 1742.8682917875 0.2777806339 12.6244392395 48946.8359375 10.792675972 45317.890625 12.56391716 33 0.961091157 -0.8651647405
-71.4089917686 5099.2441054055 0.8127242126 12.0213956833 50336.50390625 10.146777153 45570.1796875 11.6932268143 34 0.7847213588 -0.6693722567
-8.3080530671 69.023745766 0.0110010951 12.3185434341 50224.05859375 10.3972711563 46069.578125 10.9720430374 35 1.0126272418 1.030144512
-14.2558281415 203.2286360004 0.0323908465 11.8669538498 49954.38671875 10.4926261902 46378.6796875 11.4121961594 36 0.9176679992 0.7342321952
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88.5806432748 7846.5303629832 1.250590299 12.7495689392 49571.72265625 10.266418457 45243.37109375 11.5598211288 874 0.8107272366 -0.8074365286
3.9130367853 15.3118568831 0.0024404238 12.1566162109 49959.6328125 10.0287389755 46365.4140625 11.6554479599 875 1.0740413819 -0.5203107206
48.2805279473 2331.0093788709 0.3715193316 12.3578634262 50465.33203125 9.8562393188 46086.43359375 10.6476688385 876 0.7788776356 2.384262931
243.0937419548 59094.5673775881 9.418569644 12.3803977966 49523.62890625 10.4369773865 45704.01171875 11.6440258026 877 1.1584717588 -1.1319478735
25.9673321959 674.3023413738 0.1074711914 12.190284729 50975.08203125 10.3598718643 46517.875 12.0057973862 878 0.9048565102 -0.4286086909
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26.316087399 692.5364559931 0.1103773685 12.6998348236 50041.7421875 10.1383342743 45688.28125 11.3068199158 880 0.9582458968 0.4167824903
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25.3553510779 642.893828282 0.1024652614 12.6248226166 50073.20703125 10.350566864 45955.85546875 11.9419803619 886 0.963637008 0.1107967925
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99.8814906084 9976.3121661475 1.5900377158 12.1544876099 50425.2734375 10.7933721542 46119.17578125 12.1044816971 888 1.0919347916 -1.0781322242
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32.2295177568 1038.7418148342 0.1655560326 12.4036951065 50061.58203125 10.908372879 45779.5859375 11.7037286758 924 1.0271714418 -0.0967121969
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7.8558356434 61.7141536556 0.0098360827 11.4461126328 49642.63671875 10.2979755402 45563.7890625 11.5621414185 926 1.0745580649 -0.8705866181
9.9464573201 98.9320132203 0.015767914 12.0483007431 49879.60546875 9.9294748306 45689.671875 11.1818189621 927 1.1436939132 -1.0737469035
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-17.4250776998 303.6333328453 0.0483934788 13.0636100769 49788.90625 10.4775657654 45328.27734375 11.5094165802 929 0.8592452313 -0.5425402092
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38.9953457308 1520.6369886616 0.2423611174 11.8826780319 50189.0625 10.0250825882 45706.828125 11.7211637497 931 0.9618233833 -0.9247829598
58.6595726224 3440.9454602409 0.5484223998 12.1291103363 50062.38671875 10.4300813675 46171.546875 11.2704906464 932 1.080604243 2.1046418913
101.6260094393 10327.8457945631 1.6460656064 12.6934375763 50180.75390625 10.4915494919 45812.1015625 12.5809249878 933 1.1078926272 -0.267924307
-28.8583331928 832.8033946667 0.1327332972 13.0357160568 50976.19140625 10.0485458374 45979.26171875 11.8144769669 934 1.1323740233 -0.6279434328
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57.6961740391 3328.8484987507 0.5305562391 12.4274892807 49515.71484375 10.4330530167 46094.3359375 11.5855474472 936 0.9280256859 -0.9258018168
-202.5019867018 41007.0546181865 6.5357581408 12.6279268265 49476.95703125 9.7574939728 45875.68359375 11.4463014603 937 0.8593303108 -0.613777206
65.2875435877 4262.4633477175 0.6793569981 12.8771333694 51000.34765625 10.3313236237 45731.3359375 11.7332649231 938 0.9563918677 -0.5751270359
25.0290084278 626.4512628787 0.0998446238 11.5751466751 49822.84765625 9.7614765167 45737.44921875 11.1254358292 939 0.9978807492 -0.9842088184
-60.661632555 3679.8336642412 0.5864967151 11.9090604782 50173.40234375 10.2223110199 45581.421875 11.8048591614 940 0.7946844096 -0.6736063418
53.3916744966 2850.6709055546 0.4543436672 12.2748537064 50187.9453125 9.869011879 44806.5390625 11.4487495422 941 0.9623398656 -0.5305321562
144.1695912193 20784.8710323307 3.312720002 12.0170974731 50431.15625 9.9765501022 45462.0546875 12.0748701096 942 0.7701784229 -0.4178317373
39.7692623075 1581.5942244816 0.2520765616 11.9926319122 50317.62109375 10.355550766 45529.85546875 11.3415699005 943 1.0082001959 4.9266854971
26.9061277986 723.939713117 0.1153824608 11.7529211044 49701.1640625 10.1954450607 45510.0859375 11.8027467728 944 1.173494056 0.4663052117
14.3520786191 205.98216069 0.0328297069 13.6818342209 50421.921875 10.2159347534 45374.55859375 12.7353019714 945 1.0049102236 0.1674274725
14.0046453034 196.1300900734 0.031259471 11.9856739044 49525.90625 10.7786502838 45563.50390625 10.9586515427 946 0.8660373207 -0.5746423093
13.5818161395 184.4657296463 0.0294003899 12.7523393631 49775.09375 10.6326208115 45632.15234375 11.9070892334 947 0.9679692262 -0.8735636554
80.1909848831 6430.5940565161 1.0249165137 12.4662847519 49720.6875 10.1629953384 46005.13671875 12.1592550278 948 1.0965752135 1.4762484297
22.3931557385 501.4534239265 0.0799223043 12.5198640823 49606.44140625 10.5824203491 45154.50390625 11.8127670288 949 1.0624647001 -0.994285091
-76.1597301491 5800.3044963809 0.924460137 12.7429552078 49736.484375 10.78789711 45700.30078125 11.2774324417 950 1.0555628442 0.01644587
65.7450434883 4322.4107432829 0.6889114926 12.901222229 49909.98828125 10.4349679947 45759.09765625 12.0791034698 951 1.0153056335 -0.8497496009
-30.3807923332 922.9925427904 0.1471077619 12.7932882309 50113.55859375 10.2916202545 45663.44140625 12.2801113129 952 0.8369063713 -0.6817828017
34.0715635332 1160.8714415981 0.1850212127 12.602350235 50614.8984375 10.6558218002 45747.11328125 12.2220020294 953 0.8173184312 -0.8074823485
75.4151824953 5687.4497507937 0.9064731997 12.2644147873 49431.27734375 10.598449707 45947.61328125 12.5623512268 954 0.9034063341 -0.8876384201
59.5135096695 3541.857833186 0.5645059462 11.5159301758 51036.06640625 10.4771432877 44943.23828125 12.0478229523 955 1.0397776632 -0.9303309813
70.9554599624 5034.6772984756 0.8024334702 11.809841156 50402.953125 10.1431102753 45717.765625 11.723950386 956 1.0011490011 -0.9527555224
111.1229448861 12348.3088801575 1.9680896626 12.0600814819 50473.90234375 10.3672542572 45610.171875 11.1840705872 957 0.9641549967 1.7423156902
15.2774474724 233.4004012718 0.037199662 12.9668750763 49043.91015625 10.9687137604 46496.1015625 12.5098152161 958 0.9673223117 -0.7249611944
40.359421123 1628.8828733865 0.2596134884 12.6632518768 49758.94140625 10.1324501038 45032.81640625 11.8247528076 959 0.9994170126 -0.4509946127
129.6774640414 16816.2446801958 2.6801951296 12.5790109634 50036.70703125 10.1651287079 45774.6328125 11.5392856598 960 1.171844727 0.4742208795
-93.9808100531 8832.3926582433 1.4077183245 12.5744047165 49715.8671875 10.2128658295 46072.37109375 11.9965581894 961 1.2392705338 -1.1065372366
17.880879182 319.7258403212 0.0509583237 13.2425537109 50190.37890625 10.1474685669 45727.73828125 12.0987129211 962 0.9651069422 -0.9060766424
0.7436784518 0.5530576397 0.0000881471 12.4580316544 50113.04296875 10.2440547943 45545.52734375 12.1710586548 963 1.0128794321 -0.482323193
1.4600505991 2.131747752 0.0003397608 12.9118032455 50078.1953125 10.6040639877 45950.94140625 11.543674469 964 1.0034211027 5.5323370381
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0.8382513299 0.7026652921 0.0001119917 11.8704996109 49919.8359375 10.4453191757 45620.63671875 11.7704877853 966 0.8400313304 -0.7401867066
145.6684943771 21219.3102541046 3.3819614948 12.0818567276 50294.78515625 10.6442975998 45938.24609375 11.7568969727 967 0.9560724265 -0.3695757115
-76.4286157892 5841.3333114594 0.9309993634 11.8428173065 50115.84765625 10.2592687607 45722.74609375 11.2854070663 968 0.8624951159 -0.4081514487
52.6436325452 2771.3520475489 0.4417017236 11.8459882736 50559.58203125 9.9777650833 45660.81640625 11.7693605423 969 1.0100790729 2.3026409291
-144.9825399919 21019.9369025012 3.3501851086 12.1044044495 50811.23046875 10.3054933548 45800.43359375 12.0769519806 970 0.9200056842 -0.6679291227
34.2716365875 1174.5450743883 0.1872005342 12.3175935745 50915.578125 10.0141210556 45629.1875 11.0916032791 971 0.8833501417 -0.7679676809
-50.3248926003 2532.5948152345 0.4036482828 11.2296142578 50045.82421875 10.2558965683 46117.29296875 11.1610012054 972 1.2830952922 -1.2502655853
87.2942085386 7620.2788443804 1.2145300353 12.1176815033 50129.671875 10.2338018417 45699.23828125 11.2944641113 973 0.8036481505 -0.7723886795
974 1.0422105521 -1.0128101622
975 1.0904806245 -0.0655641108
976 0.9179499661 -0.8380276618
977 0.9766413602 -0.0521812232
978 1.1149628184 -0.4260513258
979 1.1294215499 -0.9823137881
980 1.1470046746 -0.9619834619
981 1.0637730724 -0.1572998728
982 0.9087242921 -0.3442183459
983 0.9761098611 -0.1736763909
984 0.9373706776 1.030718985
985 1.1887428774 -1.1515432154
986 0.9435315854 -0.6839180969
987 1.0334994171 1.6466957124
988 1.0956557779 0.3120625466
989 1.1887030583 -1.1377447345
990 1.0570993516 -1.0570112046
991 1.0982175866 -1.0978778258
992 1.039693947 -0.992817869
993 0.9257609538 -0.9256489621
994 1.0276404373 2.3543210575
995 0.9062018211 0.0247975423
996 0.9948847237 -0.5531830001
997 1.097952014 2.2522330946
998 1.0110062353 -0.8238057011
999 0.8627090043 -0.4590607215
1000 0.941959822 0.2725702133

VIF

To do a VIF, regress each ind. variable on price income compp pop subp income price compp pop subp compp price income pop subp pop price income compp subp subp price income compp pop Dep Variable = Price Dep Variable = Income Dep Variable = Compp Dep Variable = Pop Dep Variable = Subp
all other ind. variables. After each regression 12.3450155258 50152.8359375 10.2253665924 45431.60546875 11.1112661362 50152.8359375 12.3450155258 10.2253665924 45431.60546875 11.1112661362 10.2253665924 12.3450155258 50152.8359375 45431.60546875 11.1112661362 45431.60546875 12.3450155258 50152.8359375 10.2253665924 11.1112661362 11.1112661362 12.3450155258 50152.8359375 10.2253665924 45431.60546875 SUMMARY OUTPUT SUMMARY OUTPUT SUMMARY OUTPUT SUMMARY OUTPUT SUMMARY OUTPUT
obtain the R-squared and use the following 11.9463376999 50311.06640625 10.8434724808 45569.74609375 11.5821666718 50311.06640625 11.9463376999 10.8434724808 45569.74609375 11.5821666718 10.8434724808 11.9463376999 50311.06640625 45569.74609375 11.5821666718 45569.74609375 11.9463376999 50311.06640625 10.8434724808 11.5821666718 11.5821666718 11.9463376999 50311.06640625 10.8434724808 45569.74609375
formula: 1/(1-R2) to get the variance inflation 12.0997076035 50480.96875 10.4844760895 46430.6796875 11.796377182 50480.96875 12.0997076035 10.4844760895 46430.6796875 11.796377182 10.4844760895 12.0997076035 50480.96875 46430.6796875 11.796377182 46430.6796875 12.0997076035 50480.96875 10.4844760895 11.796377182 11.796377182 12.0997076035 50480.96875 10.4844760895 46430.6796875 Regression Statistics Regression Statistics Regression Statistics Regression Statistics Regression Statistics
factor for each independent variable. Typically, 13.0429363251 49208.01953125 10.5162649155 45683.53515625 11.8868293762 49208.01953125 13.0429363251 10.5162649155 45683.53515625 11.8868293762 10.5162649155 13.0429363251 49208.01953125 45683.53515625 11.8868293762 45683.53515625 13.0429363251 49208.01953125 10.5162649155 11.8868293762 11.8868293762 13.0429363251 49208.01953125 10.5162649155 45683.53515625 Multiple R 0.3302212181 Multiple R 0.1904082669 Multiple R 0.2675605235 Multiple R 0.1697999886 Multiple R 0.4089648037
anything that exceeds 10 or if the average is 13.1354808807 49884.12109375 10.3832073212 45438.30859375 11.499753952 49884.12109375 13.1354808807 10.3832073212 45438.30859375 11.499753952 10.3832073212 13.1354808807 49884.12109375 45438.30859375 11.499753952 45438.30859375 13.1354808807 49884.12109375 10.3832073212 11.499753952 11.499753952 13.1354808807 49884.12109375 10.3832073212 45438.30859375 R Square 0.1090460529 R Square 0.0362553081 R Square 0.0715886337 R Square 0.0288320361 R Square 0.1672522107
above 8-10, then you have too much 11.9741249084 50053.1640625 10.4953584671 45971.875 12.9456853867 50053.1640625 11.9741249084 10.4953584671 45971.875 12.9456853867 10.4953584671 11.9741249084 50053.1640625 45971.875 12.9456853867 45971.875 11.9741249084 50053.1640625 10.4953584671 12.9456853867 12.9456853867 11.9741249084 50053.1640625 10.4953584671 45971.875 Adjusted R Square 0.1054643285 Adjusted R Square 0.0323809576 Adjusted R Square 0.0678563267 Adjusted R Square 0.0249278433 Adjusted R Square 0.1639044809
collinearity in your variables. 12.3281431198 50425.05859375 10.8106184006 46057.1796875 12.0879230499 50425.05859375 12.3281431198 10.8106184006 46057.1796875 12.0879230499 10.8106184006 12.3281431198 50425.05859375 46057.1796875 12.0879230499 46057.1796875 12.3281431198 50425.05859375 10.8106184006 12.0879230499 12.0879230499 12.3281431198 50425.05859375 10.8106184006 46057.1796875 Standard Error 0.4641035526 Standard Error 422.9807750954 Standard Error 0.2557545602 Standard Error 355.7413326031 Standard Error 0.4297598192
12.9902687073 49987.15625 10.8315753937 45431.68359375 12.4810009003 49987.15625 12.9902687073 10.8315753937 45431.68359375 12.4810009003 10.8315753937 12.9902687073 49987.15625 45431.68359375 12.4810009003 45431.68359375 12.9902687073 49987.15625 10.8315753937 12.4810009003 12.4810009003 12.9902687073 49987.15625 10.8315753937 45431.68359375 Observations 1000 Observations 1000 Observations 1000 Observations 1000 Observations 1000
12.6029129028 49967.86328125 10.0169811249 45129.0625 11.6693782806 49967.86328125 12.6029129028 10.0169811249 45129.0625 11.6693782806 10.0169811249 12.6029129028 49967.86328125 45129.0625 11.6693782806 45129.0625 12.6029129028 49967.86328125 10.0169811249 11.6693782806 11.6693782806 12.6029129028 49967.86328125 10.0169811249 45129.0625
12.0831079483 50899.8515625 10.0729627609 45702.76953125 11.6187324524 50899.8515625 12.0831079483 10.0729627609 45702.76953125 11.6187324524 10.0729627609 12.0831079483 50899.8515625 45702.76953125 11.6187324524 45702.76953125 12.0831079483 50899.8515625 10.0729627609 11.6187324524 11.6187324524 12.0831079483 50899.8515625 10.0729627609 45702.76953125 VIF Tolerance 1/VIF
11.6434831619 50404.55078125 10.2579460144 45826.01953125 12.0075359344 50404.55078125 11.6434831619 10.2579460144 45826.01953125 12.0075359344 10.2579460144 11.6434831619 50404.55078125 45826.01953125 12.0075359344 45826.01953125 11.6434831619 50404.55078125 10.2579460144 12.0075359344 12.0075359344 11.6434831619 50404.55078125 10.2579460144 45826.01953125 Price 1.1223924685 0.8909539471
12.5655908585 49670.7578125 10.303606987 45288.23828125 10.723282814 49670.7578125 12.5655908585 10.303606987 45288.23828125 10.723282814 10.303606987 12.5655908585 49670.7578125 45288.23828125 10.723282814 45288.23828125 12.5655908585 49670.7578125 10.303606987 10.723282814 10.723282814 12.5655908585 49670.7578125 10.303606987 45288.23828125 Income 1.0376192039 0.9637446919
11.540971756 49962.08984375 10.4645662308 45897.2421875 11.6297826767 49962.08984375 11.540971756 10.4645662308 45897.2421875 11.6297826767 10.4645662308 11.540971756 49962.08984375 45897.2421875 11.6297826767 45897.2421875 11.540971756 49962.08984375 10.4645662308 11.6297826767 11.6297826767 11.540971756 49962.08984375 10.4645662308 45897.2421875 Compp 1.0771087433 0.9284113663
12.2964954376 50226.8671875 10.4373874664 45559.26953125 11.7554330826 50226.8671875 12.2964954376 10.4373874664 45559.26953125 11.7554330826 10.4373874664 12.2964954376 50226.8671875 45559.26953125 11.7554330826 45559.26953125 12.2964954376 50226.8671875 10.4373874664 11.7554330826 11.7554330826 12.2964954376 50226.8671875 10.4373874664 45559.26953125 Pop 1.0296880017 0.9711679639
12.3268947601 49618.72265625 10.4923858643 46608.34765625 11.5305786133 49618.72265625 12.3268947601 10.4923858643 46608.34765625 11.5305786133 10.4923858643 12.3268947601 49618.72265625 46608.34765625 11.5305786133 46608.34765625 12.3268947601 49618.72265625 10.4923858643 11.5305786133 11.5305786133 12.3268947601 49618.72265625 10.4923858643 46608.34765625 Subp 1.2008437763 0.8327477893
12.2581062317 50458.49609375 10.0428104401 45803.8828125 11.097495079 50458.49609375 12.2581062317 10.0428104401 45803.8828125 11.097495079 10.0428104401 12.2581062317 50458.49609375 45803.8828125 11.097495079 45803.8828125 12.2581062317 50458.49609375 10.0428104401 11.097495079 11.097495079 12.2581062317 50458.49609375 10.0428104401 45803.8828125 mean VIF 1.0935304387
11.6504087448 49232.6484375 10.3509702682 45354.65625 11.3777294159 49232.6484375 11.6504087448 10.3509702682 45354.65625 11.3777294159 10.3509702682 11.6504087448 49232.6484375 45354.65625 11.3777294159 45354.65625 11.6504087448 49232.6484375 10.3509702682 11.3777294159 11.3777294159 11.6504087448 49232.6484375 10.3509702682 45354.65625
13.5748376846 49783.6796875 10.2321205139 45678.984375 12.1632137299 49783.6796875 13.5748376846 10.2321205139 45678.984375 12.1632137299 10.2321205139 13.5748376846 49783.6796875 45678.984375 12.1632137299 45678.984375 13.5748376846 49783.6796875 10.2321205139 12.1632137299 12.1632137299 13.5748376846 49783.6796875 10.2321205139 45678.984375
11.6463384628 49591.74609375 10.5007600784 46100.77734375 11.753695488 49591.74609375 11.6463384628 10.5007600784 46100.77734375 11.753695488 10.5007600784 11.6463384628 49591.74609375 46100.77734375 11.753695488 46100.77734375 11.6463384628 49591.74609375 10.5007600784 11.753695488 11.753695488 11.6463384628 49591.74609375 10.5007600784 46100.77734375
12.8019571304 50446.52734375 10.4361085892 45910.0625 12.6830768585 50446.52734375 12.8019571304 10.4361085892 45910.0625 12.6830768585 10.4361085892 12.8019571304 50446.52734375 45910.0625 12.6830768585 45910.0625 12.8019571304 50446.52734375 10.4361085892 12.6830768585 12.6830768585 12.8019571304 50446.52734375 10.4361085892 45910.0625
12.3618679047 50260.046875 10.2574958801 45744.3203125 10.8469324112 50260.046875 12.3618679047 10.2574958801 45744.3203125 10.8469324112 10.2574958801 12.3618679047 50260.046875 45744.3203125 10.8469324112 45744.3203125 12.3618679047 50260.046875 10.2574958801 10.8469324112 10.8469324112 12.3618679047 50260.046875 10.2574958801 45744.3203125
12.6948060989 50850.70703125 10.3274078369 46488.84765625 11.7009754181 50850.70703125 12.6948060989 10.3274078369 46488.84765625 11.7009754181 10.3274078369 12.6948060989 50850.70703125 46488.84765625 11.7009754181 46488.84765625 12.6948060989 50850.70703125 10.3274078369 11.7009754181 11.7009754181 12.6948060989 50850.70703125 10.3274078369 46488.84765625
12.1595869064 49525.11328125 10.3058748245 46036.078125 11.7835617065 49525.11328125 12.1595869064 10.3058748245 46036.078125 11.7835617065 10.3058748245 12.1595869064 49525.11328125 46036.078125 11.7835617065 46036.078125 12.1595869064 49525.11328125 10.3058748245 11.7835617065 11.7835617065 12.1595869064 49525.11328125 10.3058748245 46036.078125
11.841044426 50017.96484375 10.4418392181 45840.34375 11.6851119995 50017.96484375 11.841044426 10.4418392181 45840.34375 11.6851119995 10.4418392181 11.841044426 50017.96484375 45840.34375 11.6851119995 45840.34375 11.841044426 50017.96484375 10.4418392181 11.6851119995 11.6851119995 11.841044426 50017.96484375 10.4418392181 45840.34375
11.2205562592 49183.6015625 10.5166511536 45614.59765625 11.0607089996 49183.6015625 11.2205562592 10.5166511536 45614.59765625 11.0607089996 10.5166511536 11.2205562592 49183.6015625 45614.59765625 11.0607089996 45614.59765625 11.2205562592 49183.6015625 10.5166511536 11.0607089996 11.0607089996 11.2205562592 49183.6015625 10.5166511536 45614.59765625
11.7323942184 49867.6171875 10.4826841354 46203.55078125 11.7612571716 49867.6171875 11.7323942184 10.4826841354 46203.55078125 11.7612571716 10.4826841354 11.7323942184 49867.6171875 46203.55078125 11.7612571716 46203.55078125 11.7323942184 49867.6171875 10.4826841354 11.7612571716 11.7612571716 11.7323942184 49867.6171875 10.4826841354 46203.55078125
12.3816432953 49068.90625 9.7024526596 46203.73046875 11.5329093933 49068.90625 12.3816432953 9.7024526596 46203.73046875 11.5329093933 9.7024526596 12.3816432953 49068.90625 46203.73046875 11.5329093933 46203.73046875 12.3816432953 49068.90625 9.7024526596 11.5329093933 11.5329093933 12.3816432953 49068.90625 9.7024526596 46203.73046875
12.3228998184 49578.73046875 10.3889131546 46018.640625 11.4192047119 49578.73046875 12.3228998184 10.3889131546 46018.640625 11.4192047119 10.3889131546 12.3228998184 49578.73046875 46018.640625 11.4192047119 46018.640625 12.3228998184 49578.73046875 10.3889131546 11.4192047119 11.4192047119 12.3228998184 49578.73046875 10.3889131546 46018.640625
12.0516242981 49889.5625 10.327796936 45528.5703125 12.1359186172 49889.5625 12.0516242981 10.327796936 45528.5703125 12.1359186172 10.327796936 12.0516242981 49889.5625 45528.5703125 12.1359186172 45528.5703125 12.0516242981 49889.5625 10.327796936 12.1359186172 12.1359186172 12.0516242981 49889.5625 10.327796936 45528.5703125
12.501203537 50194.4453125 10.5122070313 45511.125 12.489443779 50194.4453125 12.501203537 10.5122070313 45511.125 12.489443779 10.5122070313 12.501203537 50194.4453125 45511.125 12.489443779 45511.125 12.501203537 50194.4453125 10.5122070313 12.489443779 12.489443779 12.501203537 50194.4453125 10.5122070313 45511.125
12.394244194 49116.328125 10.1231479645 46483.5078125 11.2310609818 49116.328125 12.394244194 10.1231479645 46483.5078125 11.2310609818 10.1231479645 12.394244194 49116.328125 46483.5078125 11.2310609818 46483.5078125 12.394244194 49116.328125 10.1231479645 11.2310609818 11.2310609818 12.394244194 49116.328125 10.1231479645 46483.5078125
11.7456159592 49507.4375 10.1324720383 45755.05859375 11.6771993637 49507.4375 11.7456159592 10.1324720383 45755.05859375 11.6771993637 10.1324720383 11.7456159592 49507.4375 45755.05859375 11.6771993637 45755.05859375 11.7456159592 49507.4375 10.1324720383 11.6771993637 11.6771993637 11.7456159592 49507.4375 10.1324720383 45755.05859375
12.7313995361 49916.93359375 10.1886281967 44895.7578125 11.9697475433 49916.93359375 12.7313995361 10.1886281967 44895.7578125 11.9697475433 10.1886281967 12.7313995361 49916.93359375 44895.7578125 11.9697475433 44895.7578125 12.7313995361 49916.93359375 10.1886281967 11.9697475433 11.9697475433 12.7313995361 49916.93359375 10.1886281967 44895.7578125
11.1291599274 49572.640625 10.2160301208 45996.08203125 11.1067667007 49572.640625 11.1291599274 10.2160301208 45996.08203125 11.1067667007 10.2160301208 11.1291599274 49572.640625 45996.08203125 11.1067667007 45996.08203125 11.1291599274 49572.640625 10.2160301208 11.1067667007 11.1067667007 11.1291599274 49572.640625 10.2160301208 45996.08203125
12.8513870239 50023.87109375 10.7229251862 45507.40234375 11.4891557693 50023.87109375 12.8513870239 10.7229251862 45507.40234375 11.4891557693 10.7229251862 12.8513870239 50023.87109375 45507.40234375 11.4891557693 45507.40234375 12.8513870239 50023.87109375 10.7229251862 11.4891557693 11.4891557693 12.8513870239 50023.87109375 10.7229251862 45507.40234375
12.614865303 49308.22265625 10.5676765442 45631.77734375 11.2909107208 49308.22265625 12.614865303 10.5676765442 45631.77734375 11.2909107208 10.5676765442 12.614865303 49308.22265625 45631.77734375 11.2909107208 45631.77734375 12.614865303 49308.22265625 10.5676765442 11.2909107208 11.2909107208 12.614865303 49308.22265625 10.5676765442 45631.77734375
12.494017601 49759.58203125 10.7154970169 45954.3203125 12.1425476074 49759.58203125 12.494017601 10.7154970169 45954.3203125 12.1425476074 10.7154970169 12.494017601 49759.58203125 45954.3203125 12.1425476074 45954.3203125 12.494017601 49759.58203125 10.7154970169 12.1425476074 12.1425476074 12.494017601 49759.58203125 10.7154970169 45954.3203125
13.4334592819 49952.18359375 10.4889001846 46268.8984375 12.8338861465 49952.18359375 13.4334592819 10.4889001846 46268.8984375 12.8338861465 10.4889001846 13.4334592819 49952.18359375 46268.8984375 12.8338861465 46268.8984375 13.4334592819 49952.18359375 10.4889001846 12.8338861465 12.8338861465 13.4334592819 49952.18359375 10.4889001846 46268.8984375
12.1998739243 49928.40234375 10.5928440094 45738.45703125 11.6667499542 49928.40234375 12.1998739243 10.5928440094 45738.45703125 11.6667499542 10.5928440094 12.1998739243 49928.40234375 45738.45703125 11.6667499542 45738.45703125 12.1998739243 49928.40234375 10.5928440094 11.6667499542 11.6667499542 12.1998739243 49928.40234375 10.5928440094 45738.45703125
12.512758255 50264.17578125 10.6502599716 45268.9375 11.5454759598 50264.17578125 12.512758255 10.6502599716 45268.9375 11.5454759598 10.6502599716 12.512758255 50264.17578125 45268.9375 11.5454759598 45268.9375 12.512758255 50264.17578125 10.6502599716 11.5454759598 11.5454759598 12.512758255 50264.17578125 10.6502599716 45268.9375
12.2709083557 49461.05078125 9.913561821 45784.48828125 11.4941501617 49461.05078125 12.2709083557 9.913561821 45784.48828125 11.4941501617 9.913561821 12.2709083557 49461.05078125 45784.48828125 11.4941501617 45784.48828125 12.2709083557 49461.05078125 9.913561821 11.4941501617 11.4941501617 12.2709083557 49461.05078125 9.913561821 45784.48828125
12.8831071854 49837.12890625 10.4498920441 46285.02734375 12.0892696381 49837.12890625 12.8831071854 10.4498920441 46285.02734375 12.0892696381 10.4498920441 12.8831071854 49837.12890625 46285.02734375 12.0892696381 46285.02734375 12.8831071854 49837.12890625 10.4498920441 12.0892696381 12.0892696381 12.8831071854 49837.12890625 10.4498920441 46285.02734375
11.9419584274 49637.5078125 9.7777528763 46289.046875 11.4555606842 49637.5078125 11.9419584274 9.7777528763 46289.046875 11.4555606842 9.7777528763 11.9419584274 49637.5078125 46289.046875 11.4555606842 46289.046875 11.9419584274 49637.5078125 9.7777528763 11.4555606842 11.4555606842 11.9419584274 49637.5078125 9.7777528763 46289.046875
12.5218286514 49405.3671875 10.0620689392 45708.0859375 10.305562973 49405.3671875 12.5218286514 10.0620689392 45708.0859375 10.305562973 10.0620689392 12.5218286514 49405.3671875 45708.0859375 10.305562973 45708.0859375 12.5218286514 49405.3671875 10.0620689392 10.305562973 10.305562973 12.5218286514 49405.3671875 10.0620689392 45708.0859375
11.8973207474 49896.53515625 10.3810586929 45021 12.1192722321 49896.53515625 11.8973207474 10.3810586929 45021 12.1192722321 10.3810586929 11.8973207474 49896.53515625 45021 12.1192722321 45021 11.8973207474 49896.53515625 10.3810586929 12.1192722321 12.1192722321 11.8973207474 49896.53515625 10.3810586929 45021
12.7503604889 50262.3515625 10.392539978 44774.39453125 11.2917757034 50262.3515625 12.7503604889 10.392539978 44774.39453125 11.2917757034 10.392539978 12.7503604889 50262.3515625 44774.39453125 11.2917757034 44774.39453125 12.7503604889 50262.3515625 10.392539978 11.2917757034 11.2917757034 12.7503604889 50262.3515625 10.392539978 44774.39453125
12.0989322662 50450.6953125 10.2432460785 46010.50390625 11.6110897064 50450.6953125 12.0989322662 10.2432460785 46010.50390625 11.6110897064 10.2432460785 12.0989322662 50450.6953125 46010.50390625 11.6110897064 46010.50390625 12.0989322662 50450.6953125 10.2432460785 11.6110897064 11.6110897064 12.0989322662 50450.6953125 10.2432460785 46010.50390625
12.59633255 50298.85546875 10.6140193939 45767.30859375 11.9970560074 50298.85546875 12.59633255 10.6140193939 45767.30859375 11.9970560074 10.6140193939 12.59633255 50298.85546875 45767.30859375 11.9970560074 45767.30859375 12.59633255 50298.85546875 10.6140193939 11.9970560074 11.9970560074 12.59633255 50298.85546875 10.6140193939 45767.30859375
12.8310213089 50139.3984375 11.122179985 45942.68359375 11.8286619186 50139.3984375 12.8310213089 11.122179985 45942.68359375 11.8286619186 11.122179985 12.8310213089 50139.3984375 45942.68359375 11.8286619186 45942.68359375 12.8310213089 50139.3984375 11.122179985 11.8286619186 11.8286619186 12.8310213089 50139.3984375 11.122179985 45942.68359375
13.0487957001 49906.953125 10.638753891 45628.171875 12.0809707642 49906.953125 13.0487957001 10.638753891 45628.171875 12.0809707642 10.638753891 13.0487957001 49906.953125 45628.171875 12.0809707642 45628.171875 13.0487957001 49906.953125 10.638753891 12.0809707642 12.0809707642 13.0487957001 49906.953125 10.638753891 45628.171875
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Specification

There are two easy to use model specification tests. quantity price income compp pop subp Pred2 Pred3 Pred4 Predicted Restricted Model - This is the original regression output quantity Predicted Pred2 SUMMARY OUTPUT
The Ramsey RESET test and the linktest. Each tests 982.1076049805 12.3450155258 50152.8359375 10.2253665924 45431.60546875 11.1112661362 1418515.22479033 1689472013.95672 2012185442961.95 1191.0143680033 982.1076049805 1191.0143680033 1418515.22479033
for misspecification by plugging in the predicted 1267.6099853516 11.9463376999 50311.06640625 10.8434724808 45569.74609375 11.5821666718 1540793.63753496 1912567249.22008 2374045033468.21 1241.2870890874 Regression Statistics 1267.6099853516 1241.2870890874 1540793.63753496 Regression Statistics The t-statistic for Pred2 is not significant at the 5% level
values into either the original equation or a 1463.3895263672 12.0997076035 50480.96875 10.4844760895 46430.6796875 11.796377182 1580786.87025294 1987513009.77544 2498887129164.07 1257.2934702181 Multiple R 0.7258874644 1463.3895263672 1257.2934702181 1580786.87025294 Multiple R 0.7259121691 Therefore, we can assume the model is specified
modified equation. If the tests are significant then 1229.9116210938 13.0429363251 49208.01953125 10.5162649155 45683.53515625 11.8868293762 1108191.47569755 1166600633.1804 1228088346808.71 1052.7067377468 R Square 0.526912611 1229.9116210938 1052.7067377468 1108191.47569755 R Square 0.5269484772 correctly using the linktest
the model is misspecified, and you need to add 1120.166015625 13.1354808807 49884.12109375 10.3832073212 45438.30859375 11.499753952 1103813.71262107 1159694713.62756 1218404712170.31 1050.6253911938 Adjusted R Square 0.5245328958 1120.166015625 1050.6253911938 1103813.71262107 Adjusted R Square 0.5259995274
a variable(s) to it. 1352.0555419922 11.9741249084 50053.1640625 10.4953584671 45971.875 12.9456853867 1718608.93731528 2253022863.32265 2953616679419.95 1310.9572599117 Standard Error 79.4489404775 1352.0555419922 1310.9572599117 1718608.93731528 Standard Error 79.3263112561
1165.9859619141 12.3281431198 50425.05859375 10.8106184006 46057.1796875 12.0879230499 1449002.64856392 1744230068.48662 2099608675545.25 1203.7452589996 Observations 1000 1165.9859619141 1203.7452589996 1449002.64856392 Observations 1000
To do the Ramsey RESET run original regression and 1011.8641357422 12.9902687073 49987.15625 10.8315753937 45431.68359375 12.4810009003 1183780.80598252 1287973539.83039 1401336996612.62 1088.0169143826 1011.8641357422 1088.0169143826 1183780.80598252
get fitted values. Then rerun the regression with the 2, 1138.4561767578 12.6029129028 49967.86328125 10.0169811249 45129.0625 11.6693782806 1386405.25361045 1632432727.75049 1922119527238.66 1177.4571132786 ANOVA 1138.4561767578 1177.4571132786 1386405.25361045 ANOVA
3, and 4 powered fitted values. Then use the following: 1305.6673583984 12.0831079483 50899.8515625 10.0729627609 45702.76953125 11.6187324524 1671324.06423953 2160682724.01483 2793324127706.13 1292.7969926634 df SS MS F Significance F 1305.6673583984 1292.7969926634 1671324.06423953 df SS MS F Significance F
[(R2ur - R2r)/new regressors] / [(1-R2ur)/(n-df). 1396.0900878906 11.6434831619 50404.55078125 10.2579460144 45826.01953125 12.0075359344 1840600.80095815 2497119982.67959 3387811308487.8 1356.6874367216 Regression 5 6988111.50033821 1397622.30006764 221.418345746 8.95731829867951E-159 1396.0900878906 1356.6874367216 1840600.80095815 Regression 2 6988587.17194514 3494293.58597257 555.2964175686 8.74701234418419E-163
where R2ur = r-squared from the unrestricted model 1030.5556640625 12.5655908585 49670.7578125 10.303606987 45288.23828125 10.723282814 1244160.15159011 1387760210.11481 1547934482804.73 1115.4192716598 Residual 994 6274261.33813192 6312.1341429899 1030.5556640625 1115.4192716598 1244160.15159011 Residual 997 6273785.66652499 6292.6636574975
R2r = r-square from the restriced model 1349.7445068359 11.540971756 49962.08984375 10.4645662308 45897.2421875 11.6297826767 1769767.97937926 2354368831.26573 3132078700836.14 1330.3262680182 Total 999 13262372.8384701 1349.7445068359 1330.3262680182 1769767.97937926 Total 999 13262372.8384701
new regressors = the powered fitted values 1287.8037109375 12.2964954376 50226.8671875 10.4373874664 45559.26953125 11.7554330826 1473620.30458024 1788868412.17609 2171556802071.17 1213.927635644 1287.8037109375 1213.927635644 1473620.30458024
n = the sample size 1287.7315673828 12.3268947601 49618.72265625 10.4923858643 46608.34765625 11.5305786133 1391540.8758529 1641511584.84763 1936386009169.46 1179.6359081738 Unrestricted model - This is the new regression output with the predicted values 1287.7315673828 1179.6359081738 1391540.8758529 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
df = the numerator degrees of freedom 1088.5754394531 12.2581062317 50458.49609375 10.0428104401 45803.8828125 11.097495079 1511260.23144182 1857842446.92687 2283907487137.58 1229.3332466999 1088.5754394531 1229.3332466999 1511260.23144182 Intercept 102.3302515536 373.94050908 0.2736538275 0.784407344 -631.470498961 836.1310020682 -631.470498961 836.1310020682
1360.9445800781 11.6504087448 49232.6484375 10.3509702682 45354.65625 11.3777294159 1648807.18124249 2117165485.74811 2718565120916.82 1284.0588698508 Regression Statistics Ramsey RESET 1360.9445800781 1284.0588698508 1648807.18124249 Predicted 0.8291722111 0.6220539917 1.3329585891 0.1828499084 -0.3915130981 2.0498575202 -0.3915130981 2.0498575202
The Ramsey RESET test follows an F distribution with 960.1171875 13.5748376846 49783.6796875 10.2321205139 45678.984375 12.1632137299 1020991.9523258 1031652603.11878 1042424566714.05 1010.4414640769 Multiple R 0.726438433 Numerator 0.0002667286 Since the RESET test statistic 960.1171875 1010.4414640769 1020991.9523258 Pred2 0.0000709497 0.0002580562 0.2749390038 0.7834200642 -0.0004354458 0.0005773453 -0.0004354458 0.0005773453
F~(dfn, dfd, prob) 1404.0959472656 11.6463384628 49591.74609375 10.5007600784 46100.77734375 11.753695488 1699406.84081947 2215368841.54061 2887983610624.03 1303.6129950332 R Square 0.5277127969 Denominator 0.000476096 is less than the F-test stat, 1404.0959472656 1303.6129950332 1699406.84081947
where dfn = numerator degrees of freedom 1141.9903564453 12.8019571304 50446.52734375 10.4361085892 45910.0625 12.6830768585 1376312.46377183 1614639468.51346 1894235997933.7 1173.1634429063 Adjusted R Square 0.5239001858 Test Statistic 0.5602413227 we fail to reject the null of 1141.9903564453 1173.1634429063 1376312.46377183
dfr = denominator degrees of freedom 1107.5513916016 12.3618679047 50260.046875 10.2574958801 45744.3203125 10.8469324112 1390668.36112789 1639967952.33036 1933958490642.12 1179.2660264452 Standard Error 79.5017847489 F-Test Stat 2.6138754586 no model misspecification 1107.5513916016 1179.2660264452 1390668.36112789
prob = probability 1276.7239990234 12.6948060989 50850.70703125 10.3274078369 46488.84765625 11.7009754181 1376683.68474116 1615292766.86633 1895257967832.49 1173.3216459016 Observations 1000 1276.7239990234 1173.3216459016 1376683.68474116
1185.248046875 12.1595869064 49525.11328125 10.3058748245 46036.078125 11.7835617065 1506687.58810215 1849416874.59585 2270107488141.07 1227.4720314949 1185.248046875 1227.4720314949 1506687.58810215
The linktest works similar to the Ramsey RESET, except 1267.4464111328 11.841044426 50017.96484375 10.4418392181 45840.34375 11.6851119995 1648300.90776323 2116190433.17879 2716895882533.08 1283.8617167605 ANOVA 1267.4464111328 1283.8617167605 1648300.90776323
you regress the fitted values and their square on only 1330.0084228516 11.2205562592 49183.6015625 10.5166511536 45614.59765625 11.0607089996 1776569.51088537 2367954247.23145 3156199227007.49 1332.8801562351 df SS MS F Significance F 1330.0084228516 1332.8801562351 1776569.51088537
the dependent variable. For no misspecification you 1393.4792480469 11.7323942184 49867.6171875 10.4826841354 46203.55078125 11.7612571716 1688398.56207739 2193877935.95724 2850689704425.01 1299.3839163532 Regression 8 6998723.86420705 874840.483025882 138.4124369423 1.12442650276798E-155 1393.4792480469 1299.3839163532 1688398.56207739
want the squared fitted values to be insignificant at the 1201.4442138672 12.3816432953 49068.90625 9.7024526596 46203.73046875 11.5329093933 1457975.03338091 1760455820.32218 2125691197962.07 1207.4663694617 Residual 991 6263648.97426308 6320.5337782675 1201.4442138672 1207.4663694617 1457975.03338091
5% level. 1128.8135986328 12.3228998184 49578.73046875 10.3889131546 46018.640625 11.4192047119 1391960.21243485 1642253637.47894 1937553233001.66 1179.8136346198 Total 999 13262372.8384701 1128.8135986328 1179.8136346198 1391960.21243485
1359.1799316406 12.0516242981 49889.5625 10.327796936 45528.5703125 12.1359186172 1610654.33638967 2044106500.24435 2594207391330.86 1269.1155725109 1359.1799316406 1269.1155725109 1610654.33638967
1127.5849609375 12.501203537 50194.4453125 10.5122070313 45511.125 12.489443779 1445999.7597838 1738810808.91067 2090915305294.81 1202.4973013624 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 1127.5849609375 1202.4973013624 1445999.7597838
1129.4107666016 12.394244194 49116.328125 10.1231479645 46483.5078125 11.2310609818 1358076.70190965 1582655707.55931 1844372328269.8 1165.3654799717 Intercept 144031.741420867 112511.498637151 1.2801513016 0.2007914987 -76756.3991853173 364819.882027052 -76756.3991853173 364819.882027052 1129.4107666016 1165.3654799717 1358076.70190965
1341.2917480469 11.7456159592 49507.4375 10.1324720383 45755.05859375 11.6771993637 1704391.16009787 2225122419.63985 2904949226619.77 1305.5233280558 price -16002.5247103502 12533.2936468682 -1.2768012273 0.2019715261 -40597.3673129499 8592.3178922496 -40597.3673129499 8592.3178922496 1341.2917480469 1305.5233280558 1704391.16009787
1177.6801757813 12.7313995361 49916.93359375 10.1886281967 44895.7578125 11.9697475433 1329748.44109182 1533395677.84077 1768230916586.12 1153.1471896908 income 2.9270786582 2.2924687401 1.2768238044 0.2019635566 -1.5715718501 7.4257291665 -1.5715718501 7.4257291665 1177.6801757813 1153.1471896908 1329748.44109182
1412.3991699219 11.1291599274 49572.640625 10.2160301208 45996.08203125 11.1067667007 1919601.74826033 2659602332.6541 3684870871924.13 1385.4969318841 compp -6547.7342742138 5128.1588797555 -1.2768196984 0.201965006 -16611.0316039007 3515.5630554731 -16611.0316039007 3515.5630554731 1412.3991699219 1385.4969318841 1919601.74826033
966.7486572266 12.8513870239 50023.87109375 10.7229251862 45507.40234375 11.4891557693 1166314.32376899 1259573207.05455 1360289101828.72 1079.9603343498 pop 0.306184085 0.2398671251 1.2764737347 0.2020871529 -0.1645217289 0.7768898989 -0.1645217289 0.7768898989 966.7486572266 1079.9603343498 1166314.32376899
999.6157226563 12.614865303 49308.22265625 10.5676765442 45631.77734375 11.2909107208 1213129.72337909 1336167381.39934 1471683725745.84 1101.4216828169 subp 3840.1999332144 3007.643708405 1.2768134478 0.2019672123 -2061.8818097921 9742.2816762209 -2061.8818097921 9742.2816762209 999.6157226563 1101.4216828169 1213129.72337909
1172.6759033203 12.494017601 49759.58203125 10.7154970169 45954.3203125 12.1425476074 1351685.68511827 1571497055.8 1827054191353.65 1162.6201809354 Pred2 -0.1147147449 0.0906525842 -1.2654327049 0.2060136982 -0.2926078114 0.0631783217 -0.2926078114 0.0631783217 1172.6759033203 1162.6201809354 1351685.68511827
1120.7783203125 13.4334592819 49952.18359375 10.4889001846 46268.8984375 12.8338861465 1106458.08883222 1163864581.73423 1224249502342.25 1051.8831155752 Pred3 0.00006362 0.0000502746 1.2654508504 0.2060071998 -0.0000350368 0.0001622768 -0.0000350368 0.0001622768 1120.7783203125 1051.8831155752 1106458.08883222
1101.3802490234 12.1998739243 49928.40234375 10.5928440094 45738.45703125 11.6667499542 1457089.69898342 1758852546.50899 2123110390883.6 1207.0997054856 Pred4 -0.0000000132 0.0000000104 -1.2630849022 0.2068557609 -0.0000000336 0.0000000073 -0.0000000336 0.0000000073 1101.3802490234 1207.0997054856 1457089.69898342
1119.9528808594 12.512758255 50264.17578125 10.6502599716 45268.9375 11.5454759598 1329178.7613808 1532410396.54942 1766716179705.79 1152.90015239 1119.9528808594 1152.90015239 1329178.7613808
1117.7269287109 12.2709083557 49461.05078125 9.913561821 45784.48828125 11.4941501617 1491096.15685285 1820784200.77082 2223367748981.33 1221.1044823654 1117.7269287109 1221.1044823654 1491096.15685285
1186.1157226563 12.8831071854 49837.12890625 10.4498920441 46285.02734375 12.0892696381 1244127.99875677 1387706414.62744 1547854477290.51 1115.4048586754 1186.1157226563 1115.4048586754 1244127.99875677
1171.3375244141 11.9419584274 49637.5078125 9.7777528763 46289.046875 11.4555606842 1672711.4793469 2163373751.4145 2797963693138.88 1293.3334756925 1171.3375244141 1293.3334756925 1672711.4793469
1088.5402832031 12.5218286514 49405.3671875 10.0620689392 45708.0859375 10.305562973 1244864.7376417 1388939240.29166 1549688215023.75 1115.7350660626 1088.5402832031 1115.7350660626 1244864.7376417
1293.8175048828 11.8973207474 49896.53515625 10.3810586929 45021 12.1192722321 1663865.64989162 2146235548.50577 2768448900889.27 1289.9091634265 1293.8175048828 1289.9091634265 1663865.64989162
1077.89453125 12.7503604889 50262.3515625 10.392539978 44774.39453125 11.2917757034 1249442.06120562 1396606898.55326 1561105464309.76 1117.7844430862 1077.89453125 1117.7844430862 1249442.06120562
1174.9825439453 12.0989322662 50450.6953125 10.2432460785 46010.50390625 11.6110897064 1598884.86171523 2021742245.08134 2556432801022.12 1264.4701901252 1174.9825439453 1264.4701901252 1598884.86171523
1109.6752929688 12.59633255 50298.85546875 10.6140193939 45767.30859375 11.9970560074 1351424.22042432 1571041101.65659 1826347423549.49 1162.5077291891 1109.6752929688 1162.5077291891 1351424.22042432
1053.6038818359 12.8310213089 50139.3984375 11.122179985 45942.68359375 11.8286619186 1154349.67370485 1240240978.82225 1332523169182.5 1074.4066612344 1053.6038818359 1074.4066612344 1154349.67370485
1019.4282836914 13.0487957001 49906.953125 10.638753891 45628.171875 12.0809707642 1151397.09905371 1235485624.04768 1325715279709.31 1073.0317325474 1019.4282836914 1073.0317325474 1151397.09905371
1234.1379394531 11.9096317291 49801.59765625 10.3654499054 46314.3125 11.8887195587 1639870.02253756 2099975076.27305 2689173690817.33 1280.5740988079 1234.1379394531 1280.5740988079 1639870.02253756
1021.7362060547 12.6759233475 49786.77734375 10.1926517487 46088.66796875 12.0463199615 1358325.76051579 1583091093.97236 1845048871680.8 1165.4723336552 1021.7362060547 1165.4723336552 1358325.76051579
1332.1612548828 12.7136363983 50169.19140625 10.0480194092 45878.35546875 11.6440629959 1354637.50237715 1576647628.67858 1835042762846.61 1163.8889562055 1332.1612548828 1163.8889562055 1354637.50237715
1265.0913085938 12.361325264 49814.0390625 10.1145038605 45929.8046875 11.7511768341 1472710.14587189 1787211367.89055 2168875173754.02 1213.55269596 1265.0913085938 1213.55269596 1472710.14587189
1259.2332763672 11.9870548248 49680.8515625 10.5266742706 45948.3203125 11.8473215103 1559983.55368656 1948408563.42315 2433548687772.54 1248.9930158678 1259.2332763672 1248.9930158678 1559983.55368656
1331.3647460938 11.7705202103 49535.4765625 10.3226060867 46592.328125 10.7748641968 1572276.76629247 1971485082.51163 2472054229823.11 1253.9046081311 1331.3647460938 1253.9046081311 1572276.76629247
1147.9102783203 12.4225893021 49675.46875 10.2352695465 45569.296875 12.6952056885 1508071.54347188 1851965609.41554 2274279780229.67 1228.0356442188 1147.9102783203 1228.0356442188 1508071.54347188
995.2374267578 13.3605527878 50298 10.4404268265 45723.8984375 12.3471136093 1116958.78041772 1180472079.73559 1247596917152.23 1056.8627065129 995.2374267578 1056.8627065129 1116958.78041772
997.0931396484 13.0970077515 49636.23828125 10.4870471954 45987.10546875 11.7342233658 1110152.99837051 1169699365.57681 1232439679791.02 1053.6379825967 997.0931396484 1053.6379825967 1110152.99837051
1165.9854736328 12.6244392395 48946.8359375 10.792675972 45317.890625 12.56391716 1263910.62992456 1420936105.40723 1597470080436.29 1124.2377995444 1165.9854736328 1124.2377995444 1263910.62992456
1211.6608886719 12.0213956833 50336.50390625 10.146777153 45570.1796875 11.6932268143 1646268.3180935 2112277294.06915 2710199375158.41 1283.0698804405 1211.6608886719 1283.0698804405 1646268.3180935
1173.6915283203 12.3185434341 50224.05859375 10.3972711563 46069.578125 10.9720430374 1397123.01040005 1651398813.43961 1951952706189.31 1181.9995813874 1173.6915283203 1181.9995813874 1397123.01040005
1249.9487304688 11.8669538498 49954.38671875 10.4926261902 46378.6796875 11.4121961594 1598213.16601097 2020468370.10201 2554285324010.81 1264.2045586103 1249.9487304688 1264.2045586103 1598213.16601097
1281.8355712891 12.5671243668 50214.5390625 10.2544145584 45255.890625 11.7870693207 1392291.59885631 1642840133.71009 1938475896245.87 1179.954066418 1281.8355712891 1179.954066418 1392291.59885631
1192.7391357422 12.7618608475 50274.3984375 10.2806854248 45834.70703125 11.5275316238 1293682.18390338 1471436063.14943 1673613592949.03 1137.4015051438 1192.7391357422 1137.4015051438 1293682.18390338
1192.5567626953 12.7021532059 50048.46484375 10.285449028 45570.91015625 12.0855388641 1351548.17427992 1571257252.58558 1826682467399.38 1162.5610410985 1192.5567626953 1162.5610410985 1351548.17427992
1345.9948730469 11.9604511261 50838.50390625 9.9721088409 45271.42578125 11.3046894073 1702400.22984947 2221224749.60321 2898166542591.52 1304.7606025051 1345.9948730469 1304.7606025051 1702400.22984947
1213.1243896484 12.4435319901 49873.99609375 10.4293355942 45990.70703125 12.1983213425 1434473.64368544 1718062108.68904 2057714634428.17 1197.6951380403 1213.1243896484 1197.6951380403 1434473.64368544
1179.8260498047 12.3851184845 49650.34765625 10.4376516342 45897.14453125 11.8855457306 1408569.36154088 1671734697.18219 1984067646271.69 1186.8316483566 1179.8260498047 1186.8316483566 1408569.36154088
1426.6401367188 11.183172226 49513.23828125 10.2812147141 45481.2109375 11.7050075531 1939895.92969032 2701889898.93751 3763196218029.06 1392.8014681534 1426.6401367188 1392.8014681534 1939895.92969032
1237.9056396484 12.7795372009 49897.76953125 9.9902095795 45587.80078125 12.0027112961 1350059.8632932 1568662588.66253 1822661634475.26 1161.9207646364 1237.9056396484 1161.9207646364 1350059.8632932
915.3958740234 13.0312213898 49728.5078125 10.5800657272 45800.37109375 10.8585147858 1049304.38632117 1074860819.6588 1101039695152.84 1024.3555956411 915.3958740234 1024.3555956411 1049304.38632117
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1017.6300048828 12.7310686111 50066.80859375 10.2870664597 45923.578125 11.7364864349 1310300.11059425 1499878799.5569 1716886379823.31 1144.6834106399 1017.6300048828 1144.6834106399 1310300.11059425
1083.8068847656 13.1969432831 50124.70703125 10.3056049347 45214.1796875 11.7588338852 1130232.89825657 1201577857.33721 1277426404301.44 1063.1241217546 1083.8068847656 1063.1241217546 1130232.89825657
1114.8922119141 12.49355793 49982.171875 10.228017807 45718.71875 11.9837188721 1432581.07436067 1714663148.79011 2052288534616.38 1196.9047891794 1114.8922119141 1196.9047891794 1432581.07436067
1187.5760498047 12.4036951065 50061.58203125 10.908372879 45779.5859375 11.7037286758 1334825.60911515 1542186138.37993 1781759406749.62 1155.3465320479 1187.5760498047 1155.3465320479 1334825.60911515
1254.421875 11.9767627716 50027.703125 10.3918762207 45616.59765625 10.7165145874 1496277.80064363 1830283434.12449 2238847256698.95 1223.2243459986 1254.421875 1223.2243459986 1496277.80064363
1352.3785400391 11.4461126328 49642.63671875 10.2979755402 45563.7890625 11.5621414185 1807741.3026355 2430549225.06728 3267928617254.31 1344.5227043957 1352.3785400391 1344.5227043957 1807741.3026355
1268.4290771484 12.0483007431 49879.60546875 9.9294748306 45689.671875 11.1818189621 1583778.50441004 1993157721.45778 2508354351031.31 1258.4826198284 1268.4290771484 1258.4826198284 1583778.50441004
1236.7200927734 12.0304460526 49685.1953125 10.3480873108 46193.1484375 12.0361404419 1594979.55186594 2014339548.16659 2543959770870.48 1262.9249985118 1236.7200927734 1262.9249985118 1594979.55186594
1035.9818115234 13.0636100769 49788.90625 10.4775657654 45328.27734375 11.5094165802 1109666.07426306 1168929887.36605 1231358796370.39 1053.4068892233 1035.9818115234 1053.4068892233 1109666.07426306
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1278.751953125 12.1291103363 50062.38671875 10.4300813675 46171.546875 11.2704906464 1488625.41696054 1816260528.65608 2216005632020.93 1220.0923805026 1278.751953125 1220.0923805026 1488625.41696054
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1112.1982421875 13.0357160568 50976.19140625 10.0485458374 45979.26171875 11.8144769669 1302010.10821862 1485667195.19447 1695230321903.46 1141.0565753803 1112.1982421875 1141.0565753803 1302010.10821862
1208.7829589844 12.1817045212 50040.9609375 10.1313610077 45902.859375 11.2090330124 1508052.76394058 1851931016.62249 2274223138828.82 1228.027998028 1208.7829589844 1228.027998028 1508052.76394058
1221.4406738281 12.4274892807 49515.71484375 10.4330530167 46094.3359375 11.5855474472 1354301.26078921 1576060643.30078 1834131904975.24 1163.744499789 1221.4406738281 1163.744499789 1354301.26078921
966.6614990234 12.6279268265 49476.95703125 9.7574939728 45875.68359375 11.4463014603 1366943.25635325 1598180142.38661 1868533866089.63 1169.1634857253 966.6614990234 1169.1634857253 1366943.25635325
1210.3387451172 12.8771333694 51000.34765625 10.3313236237 45731.3359375 11.7332649231 1311142.2541241 1501325013.46087 1719094010549.62 1145.0512015295 1210.3387451172 1145.0512015295 1311142.2541241
1373.353515625 11.5751466751 49822.84765625 9.7614765167 45737.44921875 11.1254358292 1817978.97670858 2451225607.86548 3305047559754.38 1348.3245071972 1373.353515625 1348.3245071972 1817978.97670858
1236.0177001953 11.9090604782 50173.40234375 10.2223110199 45581.421875 11.8048591614 1681377.29198186 2180207185.06861 2827029597992.26 1296.6793327503 1236.0177001953 1296.6793327503 1681377.29198186
1294.8673095703 12.2748537064 50187.9453125 9.869011879 44806.5390625 11.4487495422 1541261.75248158 1913438912.97684 2375487789662.6 1241.4756350737 1294.8673095703 1241.4756350737 1541261.75248158
1458.541015625 12.0170974731 50431.15625 9.9765501022 45462.0546875 12.0748701096 1727572.24129435 2270671587.55386 2984505848890.8 1314.3714244057 1458.541015625 1314.3714244057 1727572.24129435
1297.6856689453 11.9926319122 50317.62109375 10.355550766 45529.85546875 11.3415699005 1582353.68608862 1990468662.83471 2503843187878.23 1257.9164066378 1297.6856689453 1257.9164066378 1582353.68608862
1337.2447509766 11.7529211044 49701.1640625 10.1954450607 45510.0859375 11.8027467728 1716987.3073918 2249834784.38172 2948045413744.53 1310.3386231779 1337.2447509766 1310.3386231779 1716987.3073918
1050.390625 13.6818342209 50421.921875 10.2159347534 45374.55859375 12.7353019714 1073375.86958696 1112058775.64717 1152135757411.57 1036.0385463809 1050.390625 1036.0385463809 1073375.86958696
1202.2806396484 11.9856739044 49525.90625 10.7786502838 45563.50390625 10.9586515427 1411999.83873674 1677845512.38997 1993743544592.59 1188.2759943451 1202.2806396484 1188.2759943451 1411999.83873674
1126.9892578125 12.7523393631 49775.09375 10.6326208115 45632.15234375 11.9070892334 1239676.13117288 1380264629.71232 1536796910199.77 1113.407441673 1126.9892578125 1113.407441673 1239676.13117288
1286.3848876953 12.4662847519 49720.6875 10.1629953384 46005.13671875 12.1592550278 1454903.73118143 1754896009.72983 2116744867005.66 1206.1939028122 1286.3848876953 1206.1939028122 1454903.73118143
1168.7684326172 12.5198640823 49606.44140625 10.5824203491 45154.50390625 11.8127670288 1314176.27543881 1506539191.62363 1727059282926.22 1146.3752768787 1168.7684326172 1146.3752768787 1314176.27543881
1000.7114257813 12.7429552078 49736.484375 10.78789711 45700.30078125 11.2774324417 1159651.48647473 1248795236.71637 1344791570083.05 1076.8711559303 1000.7114257813 1076.8711559303 1159651.48647473
1179.2163085938 12.901222229 49909.98828125 10.4349679947 45759.09765625 12.0791034698 1239818.25821546 1380502004.47596 1537149313404.41 1113.4712651054 1179.2163085938 1113.4712651054 1239818.25821546
1126.416015625 12.7932882309 50113.55859375 10.2916202545 45663.44140625 12.2801113129 1338178.85490218 1548001027.82795 1790722647707.32 1156.7968079582 1126.416015625 1156.7968079582 1338178.85490218
1211.8642578125 12.602350235 50614.8984375 10.6558218002 45747.11328125 12.2220020294 1387195.63069765 1633828879.37183 1924311717826.65 1177.7926942793 1211.8642578125 1177.7926942793 1387195.63069765
1293.1060791016 12.2644147873 49431.27734375 10.598449707 45947.61328125 12.5623512268 1482771.11967785 1805556894.18244 2198610193350.7 1217.6908966063 1293.1060791016 1217.6908966063 1482771.11967785
1441.509765625 11.5159301758 51036.06640625 10.4771432877 44943.23828125 12.0478229523 1909913.65147492 2639493515.53656 3647770156090.26 1381.9962559555 1441.509765625 1381.9962559555 1909913.65147492
1394.7828369141 11.809841156 50402.953125 10.1431102753 45717.765625 11.723950386 1752518.92396672 2320032530.17301 3071322578861.46 1323.8273769517 1394.7828369141 1323.8273769517 1752518.92396672
1355.2021484375 12.0600814819 50473.90234375 10.3672542572 45610.171875 11.1840705872 1547733.06470911 1925502518.45348 2395477639593.84 1244.0792035514 1355.2021484375 1244.0792035514 1547733.06470911
1072.4766845703 12.9668750763 49043.91015625 10.9687137604 46496.1015625 12.5098152161 1117670.22692041 1181600111.22731 1249186736144.32 1057.1992370979 1072.4766845703 1057.1992370979 1117670.22692041
1198.7109375 12.6632518768 49758.94140625 10.1324501038 45032.81640625 11.8247528076 1341778.23549281 1554250853.72471 1800368833242.21 1158.351516377 1198.7109375 1158.351516377 1341778.23549281
1299.6870117188 12.5790109634 50036.70703125 10.1651287079 45774.6328125 11.5392856598 1368922.34165627 1601652209.76674 1873948377485.69 1170.0095476774 1299.6870117188 1170.0095476774 1368922.34165627
1083.2694091797 12.5744047165 49715.8671875 10.2128658295 46072.37109375 11.9965581894 1385918.07868373 1631572361.96916 1920768920822.41 1177.2502192328 1083.2694091797 1177.2502192328 1385918.07868373
1102.2115478516 13.2425537109 50190.37890625 10.1474685669 45727.73828125 12.0987129211 1175772.99901738 1274926722.22813 1382442145218.32 1084.3306686696 1102.2115478516 1084.3306686696 1175772.99901738
1214.0192871094 12.4580316544 50113.04296875 10.2440547943 45545.52734375 12.1710586548 1472037.70256341 1785987439.54451 2166894997768.15 1213.2756086576 1214.0192871094 1213.2756086576 1472037.70256341
1084.8328857422 12.9118032455 50078.1953125 10.6040639877 45950.94140625 11.543674469 1173696.69992595 1271551121.39685 1377563943417.06 1083.3728351431 1084.8328857422 1083.3728351431 1173696.69992595
1143.2603759766 12.6447715759 50355.6171875 10.152841568 45720.2578125 11.3226108551 1346551.58189358 1562552045.18926 1813201162700.11 1160.4100921198 1143.2603759766 1160.4100921198 1346551.58189358
1279.0670166016 11.8704996109 49919.8359375 10.4453191757 45620.63671875 11.7704877853 1633868.77636788 2088458068.6326 2669527178389.86 1278.2287652716 1279.0670166016 1278.2287652716 1633868.77636788
1385.5654296875 12.0818567276 50294.78515625 10.6442975998 45938.24609375 11.7568969727 1537344.41019201 1906148622.71357 2363427835548.61 1239.8969353104 1385.5654296875 1239.8969353104 1537344.41019201
1206.1624755859 11.8428173065 50115.84765625 10.2592687607 45722.74609375 11.2854070663 1645039.90767498 2109913530.54058 2706156297843.3 1282.5910913752 1206.1624755859 1282.5910913752 1645039.90767498
1388.5847167969 11.8459882736 50559.58203125 9.9777650833 45660.81640625 11.7693605423 1784738.58059168 2384305594.46154 3185291801052.42 1335.9410842517 1388.5847167969 1335.9410842517 1784738.58059168
1144.2102050781 12.1044044495 50811.23046875 10.3054933548 45800.43359375 12.0769519806 1662017.93394118 2142661462.61325 2762303612742.12 1289.19274507 1144.2102050781 1289.19274507 1662017.93394118
1268.9896240234 12.3175935745 50915.578125 10.0141210556 45629.1875 11.0916032791 1524528.50849776 1882362771.80102 2324187173222.42 1234.7179874359 1268.9896240234 1234.7179874359 1524528.50849776
1332.59375 11.2296142578 50045.82421875 10.2558965683 46117.29296875 11.1610012054 1912463.97205153 2644782080.25154 3657518444395.13 1382.9186426003 1332.59375 1382.9186426003 1912463.97205153
1324.8355712891 12.1176815033 50129.671875 10.2338018417 45699.23828125 11.2944641113 1531508.62451827 1895305270.25042 2345518666973.84 1237.5413627505 1324.8355712891 1237.5413627505 1531508.62451827

Two Stage Model

If you suspect a variable to quantity price income compp pop subp labor cheese First Stage Regression - Regress Endogenous Variable on All Independent Variables and Instruments quantity Predicted price income compp pop subp Second Stage Regression Including the Predicted Values from the First Stage Regression quantity price income compp pop subp Predicted price Residuals sighat_2sls 82.3170624494 Parameter Estimates from Second Stage We estimated the two-stage model on the quantity Residuals income compp pop subp SUMMARY OUTPUT
be endogenous because it is 982.1076049805 12.3450155258 50152.8359375 10.2253665924 45431.60546875 11.1112661362 13.9507322311 2.028191328 982.1076049805 12.3069667129 50152.8359375 10.2253665924 45431.60546875 11.1112661362 982.1076049805 12.3450155258 50152.8359375 10.2253665924 45431.60546875 11.1112661362 12.3069667129 -215.1878824098 sighat_wrong 110.1984434819 presumption that price was endogenous. We need 982.1076049805 0.0380488129 50152.8359375 10.2253665924 45431.60546875 11.1112661362 The t-stat is -29.377 and the
determined within the system 1267.6099853516 11.9463376999 50311.06640625 10.8434724808 45569.74609375 11.5821666718 13.845785141 1.9910224676 SUMMARY OUTPUT You will want to collect the predict values from the first 1267.6099853516 12.3360566673 50311.06640625 10.8434724808 45569.74609375 11.5821666718 SUMMARY OUTPUT 1267.6099853516 11.9463376999 50311.06640625 10.8434724808 45569.74609375 11.5821666718 12.3360566673 46.4261832172 correction factor 0.7469893389 Coefficients Standard Error t Stat to test this using the Hausman test for endogeneity 1267.6099853516 -0.3897189674 50311.06640625 10.8434724808 45569.74609375 11.5821666718 Regression Statistics associated p-value is less
or that something else causes 1463.3895263672 12.0997076035 50480.96875 10.4844760895 46430.6796875 11.796377182 13.6934022903 1.9296030998 stage. These values will be used in the second stage of 1463.3895263672 12.0140086933 50480.96875 10.4844760895 46430.6796875 11.796377182 1463.3895263672 12.0997076035 50480.96875 10.4844760895 46430.6796875 11.796377182 12.0140086933 219.5942869157 Intercept 1535.1411780742 638.5383110079 2.4041489001 1463.3895263672 0.0856989102 50480.96875 10.4844760895 46430.6796875 11.796377182 Multiple R 0.698194608 than 0.01, which is strong
it, then you will want to (at a 1229.9116210938 13.0429363251 49208.01953125 10.5162649155 45683.53515625 11.8868293762 13.9613323212 2.0279605389 Regression Statistics the model. In the second stage, regress the dependent 1229.9116210938 12.4226649853 49208.01953125 10.5162649155 45683.53515625 11.8868293762 Regression Statistics 1229.9116210938 13.0429363251 49208.01953125 10.5162649155 45683.53515625 11.8868293762 12.4226649853 144.4419007725 Predicted price -126.4131320485 17.5769410216 -7.1919870411 To do this test, we first return the the first stage 1229.9116210938 0.6202713398 49208.01953125 10.5162649155 45683.53515625 11.8868293762 R Square 0.4874757106 evidence to reject the null
bare minimum) run a two 1120.166015625 13.1354808807 49884.12109375 10.3832073212 45438.30859375 11.499753952 13.9053735733 2.0202157497 Multiple R 0.5219689372 variable on all the original predictor variables and include 1120.166015625 12.3514356042 49884.12109375 10.3832073212 45438.30859375 11.499753952 Multiple R 0.2997390633 1120.166015625 13.1354808807 49884.12109375 10.3832073212 45438.30859375 11.499753952 12.3514356042 30.9003991768 income 0.0265928604 0.0084374831 3.1517527449 regression and obtain the errors (residuals). Then 1120.166015625 0.7840452766 49884.12109375 10.3832073212 45438.30859375 11.499753952 Adjusted R Square 0.4848976206 hypothesis of no
stage least squares model. It's 1352.0555419922 11.9741249084 50053.1640625 10.4953584671 45971.875 12.9456853867 13.9973325729 1.9951771498 R Square 0.2724515714 the predicted values from the first stage. 1352.0555419922 12.6744918072 50053.1640625 10.4953584671 45971.875 12.9456853867 R Square 0.089843506 1352.0555419922 11.9741249084 50053.1640625 10.4953584671 45971.875 12.9456853867 12.6744918072 77.4497558262 compp -71.4364917828 13.6611648203 -5.2291655011 regress the dependent variable on all the 1352.0555419922 -0.7003668987 50053.1640625 10.4953584671 45971.875 12.9456853867 Standard Error 82.6941238742 endogeneity.
called a TSLS model because 1165.9859619141 12.3281431198 50425.05859375 10.8106184006 46057.1796875 12.0879230499 13.9367237091 1.9993021488 Adjusted R Square 0.2680555084 1165.9859619141 12.5030719869 50425.05859375 10.8106184006 46057.1796875 12.0879230499 Adjusted R Square 0.0852652541 1165.9859619141 12.3281431198 50425.05859375 10.8106184006 46057.1796875 12.0879230499 12.5030719869 -29.1747583371 pop 0.0071708573 0.0099078466 0.7237553879 independent variables not including the instr. 1165.9859619141 -0.1749288671 50425.05859375 10.8106184006 46057.1796875 12.0879230499 Observations 1000
there are two stages. The first 1011.8641357422 12.9902687073 49987.15625 10.8315753937 45431.68359375 12.4810009003 14.0512933731 1.9130152464 Standard Error 0.4198122764 1011.8641357422 12.3714203317 49987.15625 10.8315753937 45431.68359375 12.4810009003 Standard Error 110.1984434819 1011.8641357422 12.9902687073 49987.15625 10.8315753937 45431.68359375 12.4810009003 12.3714203317 -92.3577760283 subp 26.4326113246 9.6173166017 2.7484393433 variables. Then look at the t-stat on the error 1011.8641357422 0.6188483756 49987.15625 10.8315753937 45431.68359375 12.4810009003
stage regresses the suspected 1138.4561767578 12.6029129028 49967.86328125 10.0169811249 45129.0625 11.6693782806 13.8780088425 1.9720745087 Observations 1000 1138.4561767578 12.2149179718 49967.86328125 10.0169811249 45129.0625 11.6693782806 Observations 1000 1138.4561767578 12.6029129028 49967.86328125 10.0169811249 45129.0625 11.6693782806 12.2149179718 -48.7879391009 variable. If it is significant, then the variable is 1138.4561767578 0.3879949311 49967.86328125 10.0169811249 45129.0625 11.6693782806 ANOVA
endogenous variable on all 1305.6673583984 12.0831079483 50899.8515625 10.0729627609 45702.76953125 11.6187324524 13.9643287659 2.017739296 1305.6673583984 12.4538506678 50899.8515625 10.0729627609 45702.76953125 11.6187324524 1305.6673583984 12.0831079483 50899.8515625 10.0729627609 45702.76953125 11.6187324524 12.4538506678 29.1526978543 correction factor 0.7469893389 endogenous and doing a two-stage model was 1305.6673583984 -0.3707427195 50899.8515625 10.0729627609 45702.76953125 11.6187324524 df SS MS F Significance F
independent variables and 1396.0900878906 11.6434831619 50404.55078125 10.2579460144 45826.01953125 12.0075359344 13.8746299744 1.9643882513 ANOVA 1396.0900878906 12.2897963196 50404.55078125 10.2579460144 45826.01953125 12.0075359344 ANOVA 1396.0900878906 11.6434831619 50404.55078125 10.2579460144 45826.01953125 12.0075359344 12.2897963196 79.2262008749 The above corrects the standard errors for valid statistical inferernce appropriate. 1396.0900878906 -0.6463131577 50404.55078125 10.2579460144 45826.01953125 12.0075359344 Regression 5 6465084.62389494 1293016.92477899 189.0840556789 1.52728969212837E-141
what is called an instrument. 1030.5556640625 12.5655908585 49670.7578125 10.303606987 45288.23828125 10.723282814 13.8724336624 2.0616531372 df SS MS F Significance F 1030.5556640625 12.252898394 49670.7578125 10.303606987 45288.23828125 10.723282814 df SS MS F Significance F 1030.5556640625 12.5655908585 49670.7578125 10.303606987 45288.23828125 10.723282814 12.252898394 -109.1636710992 1030.5556640625 0.3126924645 49670.7578125 10.303606987 45288.23828125 10.723282814 Residual 994 6797288.21457519 6838.3181233151
Instruments are correlated with 1349.7445068359 11.540971756 49962.08984375 10.4645662308 45897.2421875 11.6297826767 13.8593358994 1.9726637602 Regression 6 65.5370558244 10.9228426374 61.9762661769 2.41604946840795E-65 1349.7445068359 12.1781437042 49962.08984375 10.4645662308 45897.2421875 11.6297826767 Regression 5 1191538.07430922 238307.614861844 19.6239757896 1.11335944871744E-18 1349.7445068359 11.540971756 49962.08984375 10.4645662308 45897.2421875 11.6297826767 12.1781437042 55.9226347795 Coefficients Standard Error t Stat P-value 1349.7445068359 -0.6371719482 49962.08984375 10.4645662308 45897.2421875 11.6297826767 Total 999 13262372.8384701
the endogenous variable but 1287.8037109375 12.2964954376 50226.8671875 10.4373874664 45559.26953125 11.7554330826 13.8655519485 2.004253149 Residual 993 175.0086510209 0.1762423475 1287.8037109375 12.3812601504 50226.8671875 10.4373874664 45559.26953125 11.7554330826 Residual 994 12070834.7641609 12143.6969458359 1287.8037109375 12.2964954376 50226.8671875 10.4373874664 45559.26953125 11.7554330826 12.3812601504 79.6094966608 Intercept 1535.1411780742 476.9813108314 3.2184514219 0.001330511 1287.8037109375 -0.0847647128 50226.8671875 10.4373874664 45559.26953125 11.7554330826
not with the error term. Run 1287.7315673828 12.3268947601 49618.72265625 10.4923858643 46608.34765625 11.5305786133 13.9464321136 2.0494234562 Total 999 240.5457068453 1287.7315673828 12.3524984721 49618.72265625 10.4923858643 46608.34765625 11.5305786133 Total 999 13262372.8384701 1287.7315673828 12.3268947601 49618.72265625 10.4923858643 46608.34765625 11.5305786133 12.3524984721 101.9021231154 Predicted price -126.4131320485 13.1297875544 -9.6279647728 4.86664531377274E-21 1287.7315673828 -0.025603712 49618.72265625 10.4923858643 46608.34765625 11.5305786133 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
this model, then collect the 1088.5754394531 12.2581062317 50458.49609375 10.0428104401 45803.8828125 11.097495079 14.1931238174 1.9804975986 1088.5754394531 12.2219634528 50458.49609375 10.0428104401 45803.8828125 11.097495079 1088.5754394531 12.2581062317 50458.49609375 10.0428104401 45803.8828125 11.097495079 12.2219634528 -143.1816156643 income 0.0265928604 0.0063027099 4.2192740654 0.0000267471 1088.5754394531 0.0361427789 50458.49609375 10.0428104401 45803.8828125 11.097495079 Intercept 676.008242543 470.7064514586 1.4361567394 0.1512723773 -247.6841791628 1599.7006642488 -247.6841791628 1599.7006642488
predicted values. These will 1360.9445800781 11.6504087448 49232.6484375 10.3509702682 45354.65625 11.3777294159 13.7588739395 1.9386667013 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 1360.9445800781 11.9054692782 49232.6484375 10.3509702682 45354.65625 11.3777294159 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 1360.9445800781 11.6504087448 49232.6484375 10.3509702682 45354.65625 11.3777294159 11.9054692782 102.7932491899 compp -71.4364917828 10.2047444783 -7.0003214617 0 1360.9445800781 -0.2550605334 49232.6484375 10.3509702682 45354.65625 11.3777294159 Residuals -183.6360317519 6.2509336865 -29.3773763986 4.64552619612936E-137 -195.9025729411 -171.3694905627 -195.9025729411 -171.3694905627
be used in the second stage. 960.1171875 13.5748376846 49783.6796875 10.2321205139 45678.984375 12.1632137299 13.7582931519 1.9512963295 Intercept -6.2669033235 2.6980236155 -2.3227755634 0.0203925389 -11.5613857319 -0.972420915 -11.5613857319 -0.972420915 960.1171875 12.1772429492 49783.6796875 10.2321205139 45678.984375 12.1632137299 Intercept 1535.1411780742 638.5383110079 2.4041489001 0.0163923166 282.1033303474 2788.1790258011 282.1033303474 2788.1790258011 960.1171875 13.5748376846 49783.6796875 10.2321205139 45678.984375 12.1632137299 12.1772429492 -100.992872579 pop 0.0071708573 0.0074010557 0.9688965427 0.3328322627 960.1171875 1.3975947354 49783.6796875 10.2321205139 45678.984375 12.1632137299 income 0.012865279 0.0061674407 2.0859996188 0.0372331567 0.0007625805 0.0249679776 0.0007625805 0.0249679776
1404.0959472656 11.6463384628 49591.74609375 10.5007600784 46100.77734375 11.753695488 13.9093236923 2.0527956486 income 0.0001122258 0.0000313115 3.5841743649 0.0003545842 0.0000507815 0.00017367 0.0000507815 0.00017367 1404.0959472656 12.4528626931 49591.74609375 10.5007600784 46100.77734375 11.753695488 Predicted price -126.4131320485 17.5769410216 -7.1919870411 0 -160.9053026319 -91.9209614652 -160.9053026319 -91.9209614652 1404.0959472656 11.6463384628 49591.74609375 10.5007600784 46100.77734375 11.753695488 12.4528626931 131.2930110275 subp 26.4326113246 7.1840329707 3.6793555141 0.0002463627 1404.0959472656 -0.8065242303 49591.74609375 10.5007600784 46100.77734375 11.753695488 compp -73.0393344547 10.2501240658 -7.1257024779 0 -93.1537006203 -52.9249682891 -93.1537006203 -52.9249682891
1141.9903564453 12.8019571304 50446.52734375 10.4361085892 45910.0625 12.6830768585 14.2087469101 2.1257886887 compp 0.1153662647 0.0526318577 2.1919474213 0.0286148688 0.0120838312 0.2186486981 0.0120838312 0.2186486981 1141.9903564453 13.1884679648 50446.52734375 10.4361085892 45910.0625 12.6830768585 income 0.0265928604 0.0084374831 3.1517527449 0.001671511 0.0100355365 0.0431501842 0.0100355365 0.0431501842 1141.9903564453 12.8019571304 50446.52734375 10.4361085892 45910.0625 12.6830768585 13.1884679648 -35.2751461902 1141.9903564453 -0.3865108344 50446.52734375 10.4361085892 45910.0625 12.6830768585 pop 0.0176237858 0.007354526 2.3963183716 0.0167446648 0.0031916064 0.0320559651 0.0031916064 0.0320559651
1107.5513916016 12.3618679047 50260.046875 10.2574958801 45744.3203125 10.8469324112 14.1327419281 2.0220944881 pop -0.0000926213 0.0000373577 -2.4793108521 0.0133286957 -0.0001659304 -0.0000193122 -0.0001659304 -0.0000193122 1107.5513916016 12.2802710873 50260.046875 10.2574958801 45744.3203125 10.8469324112 compp -71.4364917828 13.6611648203 -5.2291655011 0.0000002076 -98.2445254885 -44.6284580772 -98.2445254885 -44.6284580772 1107.5513916016 12.3618679047 50260.046875 10.2574958801 45744.3203125 10.8469324112 12.2802710873 -83.424978606 1107.5513916016 0.0815968174 50260.046875 10.2574958801 45744.3203125 10.8469324112 subp -14.4694197593 5.8198671736 -2.4862113392 0.0130744392 -25.8900560963 -3.0487834223 -25.8900560963 -3.0487834223
1276.7239990234 12.6948060989 50850.70703125 10.3274078369 46488.84765625 11.7009754181 13.6930599213 1.9613394737 subp 0.2678540338 0.0301089807 8.8961508492 2.68594276460533E-18 0.2087694997 0.326938568 0.2087694997 0.326938568 1276.7239990234 12.1157022733 50850.70703125 10.3274078369 46488.84765625 11.7009754181 pop 0.0071708573 0.0099078466 0.7237553879 0.469386212 -0.0122718394 0.026613554 -0.0122718394 0.026613554 1276.7239990234 12.6948060989 50850.70703125 10.3274078369 46488.84765625 11.7009754181 12.1157022733 89.2088243801 1276.7239990234 0.5791038256 50850.70703125 10.3274078369 46488.84765625 11.7009754181
1185.248046875 12.1595869064 49525.11328125 10.3058748245 46036.078125 11.7835617065 13.8971786499 1.9665762186 labor 0.4304780467 0.0946401792 4.5485759896 0.0000060679 0.244760338 0.6161957554 0.244760338 0.6161957554 1185.248046875 12.1344313844 49525.11328125 10.3058748245 46036.078125 11.7835617065 subp 26.4326113246 9.6173166017 2.7484393433 0.0060964242 7.5600370597 45.3051855895 7.5600370597 45.3051855895 1185.248046875 12.1595869064 49525.11328125 10.3058748245 46036.078125 11.7835617065 12.1344313844 -35.1490011284 1185.248046875 0.025155522 49525.11328125 10.3058748245 46036.078125 11.7835617065
1267.4464111328 11.841044426 50017.96484375 10.4418392181 45840.34375 11.6851119995 14.2033634186 2.0276098251 cheese 3.4474172178 0.2787933854 12.365491429 9.03385027193249E-33 2.9003253888 3.9945090469 2.9003253888 3.9945090469 1267.4464111328 12.539400884 50017.96484375 10.4418392181 45840.34375 11.6851119995 1267.4464111328 11.841044426 50017.96484375 10.4418392181 45840.34375 11.6851119995 12.539400884 7.3937630987 1267.4464111328 -0.698356458 50017.96484375 10.4418392181 45840.34375 11.6851119995
1330.0084228516 11.2205562592 49183.6015625 10.5166511536 45614.59765625 11.0607089996 14.0333118439 2.0149242878 1330.0084228516 12.1911188344 49183.6015625 10.5166511536 45614.59765625 11.0607089996 1330.0084228516 11.2205562592 49183.6015625 10.5166511536 45614.59765625 11.0607089996 12.1911188344 37.1737255418 1330.0084228516 -0.9705625753 49183.6015625 10.5166511536 45614.59765625 11.0607089996
1393.4792480469 11.7323942184 49867.6171875 10.4826841354 46203.55078125 11.7612571716 13.9707651138 1.9564768076 1393.4792480469 12.1686415501 49867.6171875 10.4826841354 46203.55078125 11.7612571716 1393.4792480469 11.7323942184 49867.6171875 10.4826841354 46203.55078125 11.7612571716 12.1686415501 121.9905572729 1393.4792480469 -0.4362473317 49867.6171875 10.4826841354 46203.55078125 11.7612571716
1201.4442138672 12.3816432953 49068.90625 9.7024526596 46203.73046875 11.5329093933 14.115395546 1.9724763632 1201.4442138672 12.0452300693 49068.90625 9.7024526596 46203.73046875 11.5329093933 RESIDUAL OUTPUT 1201.4442138672 12.3816432953 49068.90625 9.7024526596 46203.73046875 11.5329093933 12.0452300693 -16.4333190332 1201.4442138672 0.336413226 49068.90625 9.7024526596 46203.73046875 11.5329093933
1128.8135986328 12.3228998184 49578.73046875 10.3889131546 46018.640625 11.4192047119 13.9938392639 1.9645591974 RESIDUAL OUTPUT 1128.8135986328 12.0887057884 49578.73046875 10.3889131546 46018.640625 11.4192047119 1128.8135986328 12.3228998184 49578.73046875 10.3889131546 46018.640625 11.4192047119 12.0887057884 -56.6764714121 1128.8135986328 0.23419403 49578.73046875 10.3889131546 46018.640625 11.4192047119
1359.1799316406 12.0516242981 49889.5625 10.327796936 45528.5703125 12.1359186172 14.0605163574 2.0732169151 1359.1799316406 12.7571955853 49889.5625 10.327796936 45528.5703125 12.1359186172 Observation Predicted quantity Residuals Residuals Squared SSR SSR/R_df SQRT(SSR/R_df) 1359.1799316406 12.0516242981 49889.5625 10.327796936 45528.5703125 12.1359186172 12.7571955853 111.3348365691 1359.1799316406 -0.7055712872 49889.5625 10.327796936 45528.5703125 12.1359186172
1127.5849609375 12.501203537 50194.4453125 10.5122070313 45511.125 12.489443779 14.1078691483 2.0314302444 Observation Predicted price Residuals 1127.5849609375 12.7853231924 50194.4453125 10.5122070313 45511.125 12.489443779 1 1202.105357004 -219.9977520235 48399.0108953838 12070834.7641609 12143.6969458359 110.1984434819 1127.5849609375 12.501203537 50194.4453125 10.5122070313 45511.125 12.489443779 12.7853231924 -67.581005602 1127.5849609375 -0.2841196554 50194.4453125 10.5122070313 45511.125 12.489443779
1129.4107666016 12.394244194 49116.328125 10.1231479645 46483.5078125 11.2310609818 14.1556100845 2.018851757 1 12.3069667129 0.0380488129 1129.4107666016 12.1695082149 49116.328125 10.1231479645 46483.5078125 11.2310609818 2 1171.9182068509 95.6917785006 9156.9164726128 1129.4107666016 12.394244194 49116.328125 10.1231479645 46483.5078125 11.2310609818 12.1695082149 -52.1095355066 1129.4107666016 0.2247359792 49116.328125 10.1231479645 46483.5078125 11.2310609818
1341.2917480469 11.7456159592 49507.4375 10.1324720383 45755.05859375 11.6771993637 13.8930101395 1.9704107046 2 12.3360566673 -0.3897189674 1341.2917480469 12.121406315 49507.4375 10.1324720383 45755.05859375 11.6771993637 3 1254.6287070989 208.7608192683 43581.0796615816 1341.2917480469 11.7456159592 49507.4375 10.1324720383 45755.05859375 11.6771993637 12.121406315 61.4726843219 1341.2917480469 -0.3757903558 49507.4375 10.1324720383 45755.05859375 11.6771993637
1177.6801757813 12.7313995361 49916.93359375 10.1886281967 44895.7578125 11.9697475433 13.6732902527 1.9959774017 3 12.0140086933 0.0856989102 1177.6801757813 12.3253451254 49916.93359375 10.1886281967 44895.7578125 11.9697475433 4 1163.8801631063 66.0314579875 4360.1534439509 1177.6801757813 12.7313995361 49916.93359375 10.1886281967 44895.7578125 11.9697475433 12.3253451254 14.0281390229 1177.6801757813 0.4060544108 49916.93359375 10.1886281967 44895.7578125 11.9697475433
1412.3991699219 11.1291599274 49572.640625 10.2160301208 45996.08203125 11.1067667007 13.7141342163 1.9214396477 4 12.4226649853 0.6202713398 1412.3991699219 11.7174211458 49572.640625 10.2160301208 45996.08203125 11.1067667007 5 1188.3792355276 -68.2132199026 4653.0433694838 1412.3991699219 11.1291599274 49572.640625 10.2160301208 45996.08203125 11.1067667007 11.7174211458 72.2368073119 1412.3991699219 -0.5882612184 49572.640625 10.2160301208 45996.08203125 11.1067667007
966.7486572266 12.8513870239 50023.87109375 10.7229251862 45507.40234375 11.4891557693 13.9203615189 2.0826921463 5 12.3514356042 0.7840452766 966.7486572266 12.6189070013 50023.87109375 10.7229251862 45507.40234375 11.4891557693 6 1186.0702129172 165.985329075 27551.1294681227 966.7486572266 12.8513870239 50023.87109375 10.7229251862 45507.40234375 11.4891557693 12.6189070013 -138.0935770039 966.7486572266 0.2324800226 50023.87109375 10.7229251862 45507.40234375 11.4891557693
999.6157226563 12.614865303 49308.22265625 10.5676765442 45631.77734375 11.2909107208 14.0541954041 1.953961134 6 12.6744918072 -0.7003668987 999.6157226563 12.0698848824 49308.22265625 10.5676765442 45631.77734375 11.2909107208 7 1173.0474142755 -7.0614523614 49.8641094528 999.6157226563 12.614865303 49308.22265625 10.5676765442 45631.77734375 11.2909107208 12.0698848824 -122.8369835313 999.6157226563 0.5449804207 49308.22265625 10.5676765442 45631.77734375 11.2909107208
1172.6759033203 12.494017601 49759.58203125 10.7154970169 45954.3203125 12.1425476074 13.9571113586 1.9528108835 7 12.5030719869 -0.1749288671 1172.6759033203 12.2900746016 49759.58203125 10.7154970169 45954.3203125 12.1425476074 8 1182.4524731954 -170.5883374532 29100.3808750354 1172.6759033203 12.494017601 49759.58203125 10.7154970169 45954.3203125 12.1425476074 12.2900746016 8.6794033399 1172.6759033203 0.2039429995 49759.58203125 10.7154970169 45954.3203125 12.1425476074
1120.7783203125 13.4334592819 49952.18359375 10.4889001846 46268.8984375 12.8338861465 14.1613435745 2.0784060955 8 12.3714203317 0.6188483756 1120.7783203125 12.9624855829 49952.18359375 10.4889001846 46268.8984375 12.8338861465 9 1236.2917703129 -97.8355935551 9571.8033662697 1120.7783203125 13.4334592819 49952.18359375 10.4889001846 46268.8984375 12.8338861465 12.9624855829 33.700798635 1120.7783203125 0.4709736991 49952.18359375 10.4889001846 46268.8984375 12.8338861465
1101.3802490234 12.1998739243 49928.40234375 10.5928440094 45738.45703125 11.6667499542 13.9749593735 1.923540473 9 12.2149179718 0.3879949311 1101.3802490234 12.0941956546 49928.40234375 10.5928440094 45738.45703125 11.6667499542 10 1229.6479121858 76.0194462126 5778.9562024754 1101.3802490234 12.1998739243 49928.40234375 10.5928440094 45738.45703125 11.6667499542 12.0941956546 -98.9266907429 1101.3802490234 0.1056782697 49928.40234375 10.5928440094 45738.45703125 11.6667499542
1119.9528808594 12.512758255 50264.17578125 10.6502599716 45268.9375 11.5454759598 13.9198284149 2.0160062313 10 12.4538506678 -0.3707427195 1119.9528808594 12.4445411229 50264.17578125 10.6502599716 45268.9375 11.5454759598 11 1235.1614164686 160.928671422 25898.0372856551 1119.9528808594 12.512758255 50264.17578125 10.6502599716 45268.9375 11.5454759598 12.4445411229 -39.0565059883 1119.9528808594 0.0682171321 50264.17578125 10.6502599716 45268.9375 11.5454759598
1117.7269287109 12.2709083557 49461.05078125 9.913561821 45784.48828125 11.4941501617 13.7624502182 2.0516626835 11 12.2897963196 -0.6463131577 1117.7269287109 12.2630956833 49461.05078125 9.913561821 45784.48828125 11.4941501617 12 1179.2477689666 -148.6921049041 22109.3420608213 1117.7269287109 12.2709083557 49461.05078125 9.913561821 45784.48828125 11.4941501617 12.2630956833 -105.4654680099 1117.7269287109 0.0078126724 49461.05078125 9.913561821 45784.48828125 11.4941501617
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