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
|
|
Predictor |
Coef |
SE Coef |
T |
Constant |
20.000
|
3.2213
|
6.21
|
X |
|
|
|
Analysis of Variance |
SOURCE |
DF |
SS |
|
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.