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Question
The following results were obtained from a multiple regression analysis of supermarket profitability. The dependent variable, y, is the profit (in thousands of dollars) and the independent variables, x1and x2, are the food sales and nonfood sales (also in thousands of dollars).| ANOVA | ||||
| df | SS | MS | F | |
| Regression | 2 | 562.363 | 11.23 | |
| Error | 9 | 225.326 | ||
| Coefficients | Standard Error | |||
| Intercept | -15.0620 | |||
| x1 | 0.0972 | 0.054 | ||
| x2 | 0.2484 | 0.092 |
Coefficient of determination = 0.7139
a. Write the estimated regression equation for the relationship between the variables.
b. What can you say about the strength of this relationship?
c. Carry out a test of whether yis significantly related to the independent variables. Use a .01 level of significance.
d. Carry out a test of whether x1and yare significantly related. Use a .05 level of significance.
e. How many supermarkets are in the sample used here?
Answer
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