Question
Observations are taken on sales of a certain mountain bike in 30 sporting goods stores. The regression model was Y = total sales (thousands of
Observations are taken on sales of a certain mountain bike in 30 sporting goods stores. The regression model was Y = total sales (thousands of dollars), X1 = display floor space (square meters), X2 = competitors' advertising expenditures (thousands of dollars), X3 = advertised price (dollars per unit).
Predictor | Coefficient |
---|---|
Intercept | 1,220.33 |
FloorSpace | 10.84 |
CompetingAds | 6.802 |
Price | 0.1466 |
(a) Write the fitted regression equation. (Round your coefficient CompetingAds to 3 decimal places, coefficient Price to 4 decimal places, and other values to 2 decimal places. Negative values should be indicated by a minus sign.)
(b-1) The coefficient of FloorSpace says that each additional square foot of floor space multiple choice 1
- adds about 10.84 to sales (in thousands of dollars). Correct
- takes away 0.1496 from sales (in thousands of dollars).
- takes away 10.84 from sales (in thousands of dollars).
- adds about 6.802 to sales (in thousands of dollars).
(b-2) The coefficient of CompetingAds says that each additional $1,000 of "competitors' advertising expenditures" multiple choice 2
- adds about 6.802 to sales (in thousands of dollars).
- takes away 0.1466 from sales (in thousands of dollars).
- takes away 10.84 from sales (in thousands of dollars).
- reduces sales by about 6.802 from sales (in thousands of dollars). Correct
(b-3) The coefficient of Price says that each additional $1 of advertised price multiple choice 3
- reduces sales by about 0.1466 from sales (in thousands of dollars). Correct
- takes away 10.84 from sales (in thousands of dollars).
- reduces sales by about 6.802 from sales (in thousands of dollars).
- adds about 6.802 to sales (in thousands of dollars).
(c) The intercept is not meaningful, since a mountain bike cannot sell for zero, which will happen if all the variables are zero. multiple choice 4
- True Correct
- False
(d) Make a prediction for Sales when FloorSpace = 114, CompetingAds = 107, and Price = 1,040. (Enter your answer in thousands. Round your answer to 2 decimal places.)
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