The commercial division of a real estate firm is conducting a regression analysis of the relationship between X , annual gross rents (in thousands of dollars), and y , selling price (in thousands of...


The commercial division of a real estate firm is conducting a regression analysis of the relationship between
X
, annual gross rents (in thousands of dollars), andy , selling price (in thousands of dollars) for apartment buildings. Data were collected on several properties recently sold and the following computer output was obtained.
































































The regression equation is

Y=20.2+7.25X

PredictorCoefSE CoefT
Constant
20.000

3.2213

6.21
X
Analysis of Variance
SOURCEDFSS
Regression
1

41,587.4
Residual Error
7
Total
8

51,984.2




a.How many apartment buildings were in the sample?




b.Write the estimated regression equation (to 2 decimals if necessary).




c.Use the
t
statistic to test the significance of the relationship at a.05
level of significance.


What is thep-value? Use Table 1 of Appendix B.



p-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 4


What is your conclusion?


- Select your answer -Cannot conclude that the selling price is related to annual gross rents.Conclude that the selling price is related to annual gross rents.Item 5



d.Use theF statistic to test the significance of the relationship at a.05 level of significance.


Compute the
F
test statistic (to 2 decimals).



What is theP-value?



P-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 7


What is your conclusion?


- Select your answer -Cannot conclude that the selling price is related to annual gross rents.Conclude that the selling price is related to annual gross rents.Item 8



e.Predict the selling price of an apartment building with gross annual rents
$60,000
of  (to 1 decimal).



$  thousands.

Jun 10, 2022
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