The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x1) and newspaper advertising (x2).
Weekly Gross Revenue ( s) |
Televison Advertising ( s) |
Newspaper Advertising ( s) |
97 | 5 | 2.5 |
91 | 2 | 2 |
96 | 5 | 2.5 |
93 | 2.5 | 3.5 |
96 | 4 | 4.3 |
95 | 4.5 | 2.3 |
95 | 3.5 | 5.2 |
95 | 4 | 3.5 |
The estimated regression equation was y^ = 86.7 + 1.66x1 - .54x2
The computer solution provided .
a. Compute R2 (to 3 decimals).
Compute Ra2 (to 3 decimals).
b. When television advertising was the only independent variable, R2 = .86 and Ra2 = .837 . Are the multiple regression analysis results preferable?
[- Select your answer -] No, because less variability is explained when both independent variables are used / Yes, because greater variability is explained when both independent variables are used
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