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This is the data for the HW.

Just to confirm we it would be $18 and you would submit to me by Sataruday 2/14.

Then I would pay you.

 

Here is the HW:

The Prescott County Housing Problem

 

Introduction:

 

The Prescott county mayor, Robert (Pete) Smith has been worried for some time that housing values in the county have been declining.  Pete said to the county commission recently,

 

Our housing stock is getting so old and tired, and I’m afraid that if we don’t start building new homes that our children will just move away to Orlando or even to, heaven forbid, to South Florida.  I think that we need to study this situation, and do something about it right now!

 

What Pete did not say, but each of the commissioners knew, was that his brother-in-law, Bo Bradley is a developer who wants the commission to rezone 350 acres in the north county for a new development.  This land is currently envisioned to be a county park, but old Bo want to develop it.  Bo said recently, “What this county needs is my development, not some old park for the deer.”  Bo it seems is interested in making money more than he is in protecting undeveloped land.

 

In order to get this study going Pete has asked you to look at some recent sales of homes in the county to understand what is going on with the housing stock, and then to project out what kind of values that five typical housing could bring.  What he is hoping is that the values will be so low that the commission will want to rezone those 350 acres for Bo’s development.

 

Using the Excel data file that has been provided you are to completely answer the following questions:

 

1.      What is the current status of the housing stock in the county?

a.       To do this you will create a one-variable summaryusing StatTools and analyze the age of the recently sold homes, their average price sold, the number of bedrooms, bathrooms and number of cars that can be garaged.

b.      What does the skewness and kurtosis tell you about these data?

c.       Would it be better to use the Interquartile range to analyze this data (not a yes or no answer) and if so why, or why not?

2.      Doing two Q-Q plots, do you consider the data for price and square footage to be normal or not, and why?

3.      Doing a correlation in StatTools and using all six of the variables, how are each of these variables correlated to each other.  Again be specific.

4.      Doing a scatterplot of price versus square footage and adding a trend line to the plot, what does this tell you about the data?  

a.       Now do a scatterplot of price versus age and adding a trend line, what does this tell you about the question of new homes versus price?

5.      Next do a multiple regressionusing price as the dependent variable, and all other variables as independent variables:

a.       Do any of the variables have a t-value that is greater than the alpha (.05) for this assignment?  If so, delete them and rerun the regression and compare and contrast the old regression versus the new regression without one or more of the variables.

b.      Is the F-ratio for this/these regressions significant?  Why?

c.       Is the r-squared values for this/these regressions appear to be valid?  Does it show that it explained a sufficient amount of the total variation?

6.      Using the coefficients from this regression estimate the selling prices for the following typical Prescott county homes:

 

Home

number

Square footage

Age of the home

Number of bedrooms

Number of bathrooms

Size of the garage (cars)

Projected Selling Price (determined by you)

1

1,850

25

3

2

1

 

2

2,200

14

4

3

2

 

3

3,000

5

5

4

3

 

4

3,400

5

5

5

3

 

5

2,200

40

3

2

1

 

 

 

7.      Based on the projected selling price of these homes, will Mayor Pete convince the county commission to rezone the land for his brother-in-law, or does the county get a new park?  Defend your answer based on the statistics that you have calculated in this case study.  Your argument should be no more than 300 words.

 

PriceSq. FeetAgeBedroomsBathroomsGarage _     
110000100028311     
133500140023311 Price = Last selling price 
112500124858341 Sq. Feet = square footage of the house
141750110612211 Age = Age of the house as of now
195250211278262 Bedrooms = number of bedrooms in the house
132250107833211 Bathrooms = number of bathrooms in the house
13600095213232 Garage = number of cars that can be garaged
16275011001212     
148500104017312     
123500141627421     
142250115025322     
145500122017322     
155250146428322     
150750122815322     
15090011321342     
14400011321342     
15190011321342     
161500146429332     
15575012701432     
157250136223342     
15290011201332     
14525010251352     
164750129019332     
152500126022342     
15075010851342     
144750131241342     
148250148934341     
174500154024342     
215500211212442     
15575013511452     
16790013511442     
14850011935342     
15250012001442     
16720012561342     
15950010581342     
153600121013342     
16800013801342     
16610013017342     
16520013758342     
17490014378342     
16025013301342     
16510013611342     
170500159416332     
15590011862342     
16770013361342     
16540013255342     
16350013529342     
17850013547322     
16400013181342     
17275014159342     
14900013372342     
176000202825442     
205500182021342     
18110013302342     
16660013561342     
16875013502332     
18870015231442     
19060014771352     
16090011854342     
164900143022343     
15470013111342     
18475014114342     
17400014121342     
13625013006342     
16900013344342     
151900136019342     
180350190043322     
17130013281342     
17265013501342     
17475016011352     
16690014051342     
17175016199342     
17090014502342     
16840018181442     
19310014241343     
206900224016462     
19300018722442     
18850015501443     
16830013421342     
15710013181342     
17765018431342     
20710015261343     
19190015261343     
16425014071342     
14610015151342     
13675014251342     
226600215020442     
18225014302342     
158900197519462     
17300014338342     
217600240034543     
201000216032442     
149650160010352     
20615015261343     
162500148020342     
1382501291453     
17290014931343     
18840017284352     
18275018281342     
17550016891442     
15750015721442     
21190015341343     
207300177510462     
1267506084352     
181200193822452     
18150015645442     
152750170022342     
18320013932342     
16140015009332     
16030015105332     
16390016891442     
17990014071342     
188900193825442     
20175013371343     
20050015908343     
17630014881342     
19530015261343     
19435015941343     
19910016091443     
20740012121343     
18530018121463     
15750017739463     
214300183820443     
233900267220352     
14510010082442     
18175017005452     
196900208022542     
12580012353462     
197900180022462     
20040016611343     
17330016809352     
19310017001342     
16610017073442     
18275015951463     
16450014201453     
19650016185352     
22720016325343     
19120015581343     
21940017707332     
199750207229452     
203900201224442     
19950018991443     
16810015721342     
19050016726343     
20880016111343     
22870019203463     
228900236722462     
194200193413342     
250100271222442     
224600214423452     
211250204023362     
16150016221443     
15980016651343     
132400219226452     
229250235821462     
15970017384442     
21170019337443     
199250219412362     
19475020503463     
147750225625442     
208900260030542     
24660016871343     
186600196821462     
19420016505442     
12650016461443     
17800018602452     
240800253621462     
22575018661453     
166500202014462     
20790018756452     
26065019109443     
245750254625462     
112600140036352     
185100287829662     
235500300011562     
17990017768453     
265750302418562     
222600268220562     
24250020376463     
15650018368442     
25385017333353     
209500270019472     
22450016512344     
204250270022462     
237800205112332     
22650020903463     
199500270042532     
21675021821443     
181250260037531     
22950019301343     
20750018342343     
20625019331343     
26540021721343     
21925021934342     
27210020181454     
22960023101453     
26100022561443     
274600271020443     
19240019841343     
21720024431453     
20170026502472     
24335025601563     
28770023411464     
24075022591463     
21750021671443     
28890023831473     
26550025441353     
25375025181453     
20815019911443     
229700240015453     
28230029391553     
23475025003453     
17020028541553     
301200308012463     
30590036591463     
22540025426463     
25190022082553     
29130029391553     
30170024601453     
26275026191453     
273900271810453     
31780034031663     
24200026191453     
298500355013463     
22950026445453     
30210028671453     
31050029381454     
273100332112572     
30570029751583     
28990030631463     
25750027541463     
31100032858573     
280300330012563     
32815028931454     
33730032771563     
265500316027572     
23100027504453     
27480027274453     
26250027331553     
361100408014673     
32290029002563     
31050034691583     
22600030003462     
30930029501453     
29860032173464     
278000230043343     
33100024185344     
31700032553463     
302900311410354     
58700109830311     
7110094828211     
59800115950211     
78500120023321     
64200143054311     
57600121723311     
5410091149212     
7200095453212     
9010095048212     
75200108641352     
5850011807311     
64700100452212     
8890098828312     
76550166145431     
82250100847212     
68600140031311     
75900134034241     
79600156344341     
88600107249212     
92700153419441     
80350101621312     
83400104016332     
97200113629322     
96300128242342     
78100167047311     
94000153054442     
79300178953341     
88150133965212     
88200116021312     
91600191047441     
8270011006342     
91100137940342     
91800103215212     
96450167229311     
72950140737322     
82200145040332     
93300172861412     
111400197637441     
9025016087311     
72500153241322     
7060012885342     
6595013209342     
90100141641242     
110200202236431     
122500155042322     
93900156840332     
84800196840331     
103600153622342     
121000187239442     
102150220031441     
129600176329342     
82950207371332     
111700156352313     
127150208028542     
139300196847332     
11190013409343     
96400173012342     
10625021682441     
126100232022441     
12195017508342     
150950200039342     
142100207344322     
173200200020332     
157850190045363     
164700240038442     
130100300043451     
12390021721563     
180500251551242     
169900250049463     
21300023454454
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