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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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