Math homework 2-20-2015

profilevzedes
multiple_regression.xls

Data

Multiple Regression Exports R^2 0.6882010923 0.8132207464 0.8409854274 0.2783464026 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Y 1 X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 1 2 3 4 1 2 3 0 0 0 0 0 0 0 0 0 0 0 0
Sl.No. Exports Ones M1 Lend Price Exch. M1 Lend Price Exch. M1 Lend Price 0 0 0 0 0 0 0 0 0 0 0 0
1 2.6 1 5.1 7.8 114 2.16 5.1 7.8 114 2.16 5.1 7.8 114 0 0 0 0 0 0 0 0 0 0 0 0
2 2.6 1 4.9 8 116 2.17 4.9 8 116 2.17 4.9 8 116 0 0 0 0 0 0 0 0 0 0 0 0
3 2.7 1 5.1 8.1 117 2.18 5.1 8.1 117 2.18 5.1 8.1 117 0 0 0 0 0 0 0 0 0 0 0 0
4 3 1 5.1 8.1 122 2.2 5.1 8.1 122 2.2 5.1 8.1 122 0 0 0 0 0 0 0 0 0 0 0 0
5 2.9 1 5.1 8.1 124 2.21 5.1 8.1 124 2.21 5.1 8.1 124 0 0 0 0 0 0 0 0 0 0 0 0
6 3.1 1 5.2 8.1 128 2.17 5.2 8.1 128 2.17 5.2 8.1 128 0 0 0 0 0 0 0 0 0 0 0 0
7 3.2 1 5.1 8.3 132 2.14 5.1 8.3 132 2.14 5.1 8.3 132 0 0 0 0 0 0 0 0 0 0 0 0
8 3.7 1 5.2 8.8 133 2.16 5.2 8.8 133 2.16 5.2 8.8 133 0 0 0 0 0 0 0 0 0 0 0 0
9 3.6 1 5.3 8.9 133 2.15 5.3 8.9 133 2.15 5.3 8.9 133 0 0 0 0 0 0 0 0 0 0 0 0
10 3.4 1 5.4 9.1 134 2.16 5.4 9.1 134 2.16 5.4 9.1 134 0 0 0 0 0 0 0 0 0 0 0 0
11 3.7 1 5.7 9.2 135 2.18 5.7 9.2 135 2.18 5.7 9.2 135 0 0 0 0 0 0 0 0 0 0 0 0
12 3.6 1 5.7 9.5 136 2.17 5.7 9.5 136 2.17 5.7 9.5 136 0 0 0 0 0 0 0 0 0 0 0 0
13 4.1 1 5.9 10.3 140 2.15 5.9 10.3 140 2.15 5.9 10.3 140 0 0 0 0 0 0 0 0 0 0 0 0
14 3.5 1 5.8 10.6 147 2.16 5.8 10.6 147 2.16 5.8 10.6 147 0 0 0 0 0 0 0 0 0 0 0 0
15 4.2 1 5.7 11.3 150 2.21 5.7 11.3 150 2.21 5.7 11.3 150 0 0 0 0 0 0 0 0 0 0 0 0
16 4.3 1 5.8 12.1 151 2.24 5.8 12.1 151 2.24 5.8 12.1 151 0 0 0 0 0 0 0 0 0 0 0 0
17 4.2 1 6 12 151 2.16 6 12 151 2.16 6 12 151 0 0 0 0 0 0 0 0 0 0 0 0
18 4.1 1 6 11.4 151 2.12 6 11.4 151 2.12 6 11.4 151 0 0 0 0 0 0 0 0 0 0 0 0
19 4.6 1 6 11.1 153 2.11 6 11.1 153 2.11 6 11.1 153 0 0 0 0 0 0 0 0 0 0 0 0
20 4.4 1 6 11 154 2.13 6 11 154 2.13 6 11 154 0 0 0 0 0 0 0 0 0 0 0 0
21 4.5 1 6.1 11.3 154 2.11 6.1 11.3 154 2.11 6.1 11.3 154 0 0 0 0 0 0 0 0 0 0 0 0
22 4.6 1 6 12.6 154 2.09 6 12.6 154 2.09 6 12.6 154 0 0 0 0 0 0 0 0 0 0 0 0
23 4.6 1 6.1 13.6 155 2.09 6.1 13.6 155 2.09 6.1 13.6 155 0 0 0 0 0 0 0 0 0 0 0 0
24 4.2 1 6.7 13.6 155 2.1 6.7 13.6 155 2.1 6.7 13.6 155 0 0 0 0 0 0 0 0 0 0 0 0
25 5.5 1 6.2 14.3 156 2.08 6.2 14.3 156 2.08 6.2 14.3 156 0 0 0 0 0 0 0 0 0 0 0 0
26 3.7 1 6.3 14.3 156 2.09 6.3 14.3 156 2.09 6.3 14.3 156 0 0 0 0 0 0 0 0 0 0 0 0
27 4.9 1 7 13.7 159 2.1 7 13.7 159 2.1 7 13.7 159 0 0 0 0 0 0 0 0 0 0 0 0
28 5.2 1 7 12.7 161 2.11 7 12.7 161 2.11 7 12.7 161 0 0 0 0 0 0 0 0 0 0 0 0
29 4.9 1 6.6 12.6 161 2.15 6.6 12.6 161 2.15 6.6 12.6 161 0 0 0 0 0 0 0 0 0 0 0 0
30 4.6 1 6.4 13.4 161 2.14 6.4 13.4 161 2.14 6.4 13.4 161 0 0 0 0 0 0 0 0 0 0 0 0
31 5.4 1 6.3 14.3 162 2.16 6.3 14.3 162 2.16 6.3 14.3 162 0 0 0 0 0 0 0 0 0 0 0 0
32 5 1 6.5 13.9 160 2.17 6.5 13.9 160 2.17 6.5 13.9 160 0 0 0 0 0 0 0 0 0 0 0 0
33 4.8 1 6.6 14.5 159 2.15 6.6 14.5 159 2.15 6.6 14.5 159 0 0 0 0 0 0 0 0 0 0 0 0
34 5.1 1 6.8 15 159 2.1 6.8 15 159 2.1 6.8 15 159 0 0 0 0 0 0 0 0 0 0 0 0
35 4.4 1 7.2 13.2 158 2.06 7.2 13.2 158 2.06 7.2 13.2 158 0 0 0 0 0 0 0 0 0 0 0 0
36 5 1 7.6 11.8 155 2.05 7.6 11.8 155 2.05 7.6 11.8 155 0 0 0 0 0 0 0 0 0 0 0 0
37 5.1 1 7.2 11.2 155 2.06 7.2 11.2 155 2.06 7.2 11.2 155 0 0 0 0 0 0 0 0 0 0 0 0
38 4.8 1 7.1 10.1 154 2.11 7.1 10.1 154 2.11 7.1 10.1 154 0 0 0 0 0 0 0 0 0 0 0 0
39 5.4 1 7 10 154 2.12 7 10 154 2.12 7 10 154 0 0 0 0 0 0 0 0 0 0 0 0
40 5 1 7.5 10.2 154 2.13 7.5 10.2 154 2.13 7.5 10.2 154 0 0 0 0 0 0 0 0 0 0 0 0
41 5.2 1 7.4 11 153 2.04 7.4 11 153 2.04 7.4 11 153 0 0 0 0 0 0 0 0 0 0 0 0
42 4.7 1 7.4 11 152 2.14 7.4 11 152 2.14 7.4 11 152 0 0 0 0 0 0 0 0 0 0 0 0
43 5.1 1 7.3 10.7 152 2.15 7.3 10.7 152 2.15 7.3 10.7 152 0 0 0 0 0 0 0 0 0 0 0 0
44 4.9 1 7.6 10.2 152 2.16 7.6 10.2 152 2.16 7.6 10.2 152 0 0 0 0 0 0 0 0 0 0 0 0
45 4.9 1 7.8 10 151 2.17 7.8 10 151 2.17 7.8 10 151 0 0 0 0 0 0 0 0 0 0 0 0
46 5.3 1 7.8 9.8 152 2.2 7.8 9.8 152 2.2 7.8 9.8 152 0 0 0 0 0 0 0 0 0 0 0 0
47 4.8 1 8.2 9.3 152 2.21 8.2 9.3 152 2.21 8.2 9.3 152 0 0 0 0 0 0 0 0 0 0 0 0
48 4.9 1 8.2 9.3 152 2.15 8.2 9.3 152 2.15 8.2 9.3 152 0 0 0 0 0 0 0 0 0 0 0 0
49 5.1 1 8.3 9.5 152 2.08 8.3 9.5 152 2.08 8.3 9.5 152 0 0 0 0 0 0 0 0 0 0 0 0
50 4.3 1 8.3 9.2 150 2.08 8.3 9.2 150 2.08 8.3 9.2 150 0 0 0 0 0 0 0 0 0 0 0 0
51 4.9 1 8 9.1 147 2.09 8 9.1 147 2.09 8 9.1 147 0 0 0 0 0 0 0 0 0 0 0 0
52 5.3 1 8.2 9 147 2.1 8.2 9 147 2.1 8.2 9 147 0 0 0 0 0 0 0 0 0 0 0 0
53 4.8 1 8.2 9 146 2.09 8.2 9 146 2.09 8.2 9 146 0 0 0 0 0 0 0 0 0 0 0 0
54 5.3 1 8 8.9 145 2.12 8 8.9 145 2.12 8 8.9 145 0 0 0 0 0 0 0 0 0 0 0 0
55 5 1 8.1 9 145 2.13 8.1 9 145 2.13 8.1 9 145 0 0 0 0 0 0 0 0 0 0 0 0
56 5.1 1 8.1 9 146 2.14 8.1 9 146 2.14 8.1 9 146 0 0 0 0 0 0 0 0 0 0 0 0
57 4.8 1 8.1 9 147 2.14 8.1 9 147 2.14 8.1 9 147 0 0 0 0 0 0 0 0 0 0 0 0
58 4.8 1 8.1 8.9 147 2.13 8.1 8.9 147 2.13 8.1 8.9 147 0 0 0 0 0 0 0 0 0 0 0 0
59 5.2 1 8.6 8.9 147 2.13 8.6 8.9 147 2.13 8.6 8.9 147 0 0 0 0 0 0 0 0 0 0 0 0
60 4.9 1 8.8 9 146 2.13 8.8 9 146 2.13 8.8 9 146 0 0 0 0 0 0 0 0 0 0 0 0
61 5.5 1 8.4 9.1 147 2.13 8.4 9.1 147 2.13 8.4 9.1 147 0 0 0 0 0 0 0 0 0 0 0 0
62 4.3 1 8.2 9 146 2.13 8.2 9 146 2.13 8.2 9 146 0 0 0 0 0 0 0 0 0 0 0 0
63 5.2 1 8.3 9.2 146 2.09 8.3 9.2 146 2.09 8.3 9.2 146 0 0 0 0 0 0 0 0 0 0 0 0
64 4.7 1 8.3 9.6 146 2.09 8.3 9.6 146 2.09 8.3 9.6 146 0 0 0 0 0 0 0 0 0 0 0 0
65 5.4 1 8.4 10 146 2.1 8.4 10 146 2.1 8.4 10 146 0 0 0 0 0 0 0 0 0 0 0 0
66 5.2 1 8.3 10 147 2.11 8.3 10 147 2.11 8.3 10 147 0 0 0 0 0 0 0 0 0 0 0 0
67 5.6 1 8.2 10.1 146 2.15 8.2 10.1 146 2.15 8.2 10.1 146 0 0 0 0 0 0 0 0 0 0 0 0
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&A
Page &P
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Enter the dependent variable in this column. Up to 200 values can be entered.
Use these labels for sorting the columns as desired. For example. If you wish to interchange columns 1 and 2, interchange the name X1 and X2 at the top and use the sort command to sort the columns X1 and X2.
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Results

Multiple Regression Results Exports
0 1 2 3 4 5 6 7 8 9 10
Intercept M1 Lend Price Exch. 0 0 0 0 0 0
b -4.015461451 0.3684564006 0.0047022019 0.0365105241 0.2678962478 0 0 0 0 0 0 Press the F9 key before reading these results.
s(b) 2.7664005657 0.0638484093 0.0492218633 0.0093260088 1.1754401621 0 0 0 0 0 0
t -1.4515112167 5.7707999997 0.095530758 3.9149141767 0.2279114297 0 0 0 0 0 0
p-value 0.1517 0.0000 0.9242 0.0002 0.8205 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
VIF 3.2072 5.3539 6.2887 1.3857 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
ANOVA Table
Source SS df MS F FCritical p-value
Regn. 32.9463354221 4 8.2365838555 73.0592247829 2.5201014638 0.0000 s 0.3357654707
Error 6.9897839809 62 0.1127384513
Total 39.936119403 66 0.6050927182 R2 0.8250 Adjusted R2 0.8136840059
Prediction Interval
Given X M1 Lend Price Exch. 0 0 0 0 0 0
1 5 10 150 2
1-a (1-a) CI for Y for given X 1-a (1-a) CI for E[Y | X]
95% 3.8862136749 + or - 0.8508657484 95% 3.8862136749 + or - 0.5229554432
Press the F9 key before reading the results.
Do not delete this cell.
Enter the given values for all the independent varaibles in this row.
To change the title here, change it on the Data sheet.

Residuals

Residual Analysis Exports Exports 1 2.6 1.0072964121 3
M1 2.6 -1.0072964121 -3
Errors Q Z Lend 2.7
-0.0411990044 0.456 -0.111 Durbin-Watson d = 2.5832779372 Price 3
-0.0441481753 0.441 -0.148 Exch. 2.9
-0.0574991621 0.412 -0.223 0 3.1
0.0545902927 0.588 0.223 0 3.2
-0.1211097179 0.265 -0.629 0 3.7
-0.0932816043 0.338 -0.417 0 3.6
-0.0953816134 0.309 -0.499 0 3.4
0.3235531966 0.882 1.187 0 3.7
0.1889162988 0.750 0.674 3.6
-0.0880592682 0.353 -0.377 X Axis 4.1
0.0590651425 0.603 0.261 3.5 Select X Axis for the Residual Plot.
-0.0761770797 0.368 -0.338 4.2 Press the F9 key.
0.2056857074 0.794 0.821 4.3
-0.617131944 0.074 -1.450 4.2
-0.0065042298 0.515 0.037 4.1
0.0083409571 0.544 0.111 4.6
-0.143448403 0.235 -0.722 4.4
-0.2299112319 0.176 -0.929 4.5
0.201157343 0.779 0.770 4.6
-0.0402408858 0.471 -0.074 4.6
0.0268607385 0.574 0.185 4.2
0.162951441 0.691 0.499 5.5
0.084893075 0.632 0.338 3.7
-0.5388597278 0.088 -1.352 4.9
0.9109243321 0.985 2.178 5.2
-0.9286002705 0.015 -2.178 4.9
-0.0959089644 0.294 -0.541 4.6
0.1330932269 0.676 0.458 5.4
-0.0297698425 0.500 0.000 5
-0.2571613615 0.162 -0.987 4.8
0.5335838478 0.941 1.565 5.1
0.1321155341 0.662 0.417 4.4
-0.0656829781 0.382 -0.299 5
0.1716694532 0.706 0.541 5.1
-0.6200227696 0.059 -1.565 4.8
-0.0486117125 0.426 -0.185 5.4
0.1989132064 0.765 0.722 5
-0.0359530198 0.485 -0.037 5.2
0.598683878 0.956 1.705 4.7
0.0108362749 0.559 0.148 5.1
0.3045413398 0.853 1.049 4.9
-0.185737761 0.191 -0.874 4.9
0.2498395772 0.824 0.929 5.3
-0.0610252045 0.397 -0.261 4.8
-0.0999444827 0.279 -0.585 4.9
0.2564485462 0.838 0.987 5.1
-0.3912618755 0.103 -1.265 4.3
-0.2751881007 0.132 -1.115 4.9
-0.0942214438 0.324 -0.458 5.3
-0.8197897351 0.029 -1.890 4.8
-0.001929985 0.529 0.074 5.3
0.3221699926 0.868 1.115 5
-0.1386405209 0.250 -0.674 5.1
0.463994616 0.926 1.450 4.8
0.1239997933 0.647 0.377 4.8
0.1848103068 0.735 0.629 5.2
-0.1517002173 0.206 -0.821 4.9
-0.1485510346 0.221 -0.770 5.5
0.0672207651 0.618 0.299 4.3
-0.2704302112 0.147 -1.049 5.2
0.4399716048 0.912 1.352 4.7
-0.6493563708 0.044 -1.705 5.4
0.2235733987 0.809 0.874 5.2
-0.2783074821 0.118 -1.187 5.6
0.3802870346 0.897 1.265 0
0.1779431881 0.721 0.585 0
0.6401132821 0.971 1.890 0
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0 0.000 0.000 0
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0 0.000 0.000

Residuals

-0.0411990044
-0.0441481753
-0.0574991621
0.0545902927
-0.1211097179
-0.0932816043
-0.0953816134
0.3235531966
0.1889162988
-0.0880592682
0.0590651425
-0.0761770797
0.2056857074
-0.617131944
-0.0065042298
0.0083409571
-0.143448403
-0.2299112319
0.201157343
-0.0402408858
0.0268607385
0.162951441
0.084893075
-0.5388597278
0.9109243321
-0.9286002705
-0.0959089644
0.1330932269
-0.0297698425
-0.2571613615
0.5335838478
0.1321155341
-0.0656829781
0.1716694532
-0.6200227696
-0.0486117125
0.1989132064
-0.0359530198
0.598683878
0.0108362749
0.3045413398
-0.185737761
0.2498395772
-0.0610252045
-0.0999444827
0.2564485462
-0.3912618755
-0.2751881007
-0.0942214438
-0.8197897351
-0.001929985
0.3221699926
-0.1386405209
0.463994616
0.1239997933
0.1848103068
-0.1517002173
-0.1485510346
0.0672207651
-0.2704302112
0.4399716048
-0.6493563708
0.2235733987
-0.2783074821
0.3802870346
0.1779431881
0.6401132821
Residual
Residual Plot

Correl

-0.0411990044
-0.0441481753
-0.0574991621
0.0545902927
-0.1211097179
-0.0932816043
-0.0953816134
0.3235531966
0.1889162988
-0.0880592682
0.0590651425
-0.0761770797
0.2056857074
-0.617131944
-0.0065042298
0.0083409571
-0.143448403
-0.2299112319
0.201157343
-0.0402408858
0.0268607385
0.162951441
0.084893075
-0.5388597278
0.9109243321
-0.9286002705
-0.0959089644
0.1330932269
-0.0297698425
-0.2571613615
0.5335838478
0.1321155341
-0.0656829781
0.1716694532
-0.6200227696
-0.0486117125
0.1989132064
-0.0359530198
0.598683878
0.0108362749
0.3045413398
-0.185737761
0.2498395772
-0.0610252045
-0.0999444827
0.2564485462
-0.3912618755
-0.2751881007
-0.0942214438
-0.8197897351
-0.001929985
0.3221699926
-0.1386405209
0.463994616
0.1239997933
0.1848103068
-0.1517002173
-0.1485510346
0.0672207651
-0.2704302112
0.4399716048
-0.6493563708
0.2235733987
-0.2783074821
0.3802870346
0.1779431881
0.6401132821
Residual
Corresponding Normal Z
Normal Probability Plot

Partial F

Correlation matrix Exports
1 2 3 4 5 6 7 8 9 10 Press the F9 key before reading the results.
M1 Lend Price Exch. 0 0 0 0 0 0
1 M1 1.0000
2 Lend -0.1120 1.0000
3 Price 0.4471 0.7451 1.0000
4 Exch. -0.4097 -0.2786 -0.4196 1.0000
5 0 0.0000 0.0000 0.0000 0.0000 0.0000
6 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
7 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
8 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
9 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
10 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Y Exports 0.7751 0.3350 0.7699 -0.4329 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
Partial F Calculations Exports
#Independent variables in full model 4 k
#Independent variables dropped from the model 2 r Press the F9 key after entering r.
SSEF 6.9897839809
SSER 8.7475725066
Partial F 7.7958695784
p-value 0.0010
This must be between 0 and k. If Partial F is not needed, let r = 0. Note that the last r variables are dropped.