In: Statistics and Probability
The commercial division of a real estate firm is conducting a regression analysis of the relationship between , annual gross rents (in thousands of dollars), and , 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= 20.0 +7.25 X | |||
Predictor | Coef | SE Coef | T |
Constant | 20.000 | 3.2213 | 6.21 |
X | 7.250 | 1.3625 | 5.29 |
Analysis of Variance | |||
SOURCE | DF | SS | |
Regression | 1 | 41587.7 | |
Residual Error | 7 | ||
Total | 8 | 51984.3 |
a. How many apartment buildings were in the sample?
b. Write the estimated regression equation (to 2 decimals if necessary).
c. Use the statistic to test the significance of the relationship at a level of significance.
What is the -value? Use Table 1 of Appendix B.
-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. OR Conclude that the selling price is related to annual gross rents.Item 5
d. Use the F statistic to test the significance of the relationship at a level of significance.
Compute the F test statistic (to 2 decimals).
What is the -value?
-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. or 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 of (to 1 decimal).
thousands.