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A business analyst wants to explore the relationship between the sales for a pro

ID: 3200036 • Letter: A

Question

A business analyst wants to explore the relationship between the sales for a product (in thousands of dollars) and the possible factors; price (in dollars) and the promotional expenditure(in hundred of dollars). Results of the partial multiple regression analysis are presented below.

Regression Analysis: Sales versus Price, Promotion

The regression equation is

Sales = 12.9 - 6.50 Price + 0.0207 Promotion

Predictor     Coef SE Coef       T      P   

Constant   12.8638   0.2425   53.05 0.000

Price -6.4979   0.3575 -18.18 0.000

Promotion 0.02069 0.03811    0.54 0.611

Analysis of Variance

Source          DF      SS MS F P

Regression             9.1578 4.5789 0.000

Residual Error 0.1222 0.0244

Total 7 9.2800

The practical interpretation of the regression coefficient of price (-6.5) is ---

Select one:

a. for every one dollar increase in price, sales will decrease by $650

b. for every one dollar increase in price, sales will decrease by $6,500

c. for every one dollar increase in price, sales will increase by $6,500

d. for every one dollar increase in price, sales will increase by $650

Explanation / Answer

The regression equation is

Sales = 12.9 - 6.50 Price + 0.0207 Promotion

The practical interpretation of the regression coefficient of price (-6.5) is

ans) b. for every one dollar increase in price, sales will decrease by $6,500