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As a sales manager of your company you decided to examine if the sales (in quant

ID: 3178325 • Letter: A

Question

As a sales manager of your company you decided to examine if the sales (in quantity), Q, is determined by your own product price ( in dollars), P, advertisement expenditure ( in million dollars), A, and consumers average income (in 1,000 dollars), Y, you estimated a multiple regression equation of:
Q= a + bP + cA + dY where a, b, c, and d are coefficients.
The following is a partial printout of the multiple regression estimation obtained with missing values due to ink shortage:
Summary Output
Regression Statistics
Multiple R R Square Adjusted R Square Standard Error 142.44 Observations. 10 ANOVA
DF. SS. MS. F
Regression. 208 Residual. 52 Total

Based on the information above, the coefficient of determination R^2 is ____.
A. 0.25 B. 0.75 C. 0.2 D. 0.8 E. Not calculable As a sales manager of your company you decided to examine if the sales (in quantity), Q, is determined by your own product price ( in dollars), P, advertisement expenditure ( in million dollars), A, and consumers average income (in 1,000 dollars), Y, you estimated a multiple regression equation of:
Q= a + bP + cA + dY where a, b, c, and d are coefficients.
The following is a partial printout of the multiple regression estimation obtained with missing values due to ink shortage:
Summary Output
Regression Statistics
Multiple R R Square Adjusted R Square Standard Error 142.44 Observations. 10 ANOVA
DF. SS. MS. F
Regression. 208 Residual. 52 Total

Based on the information above, the coefficient of determination R^2 is ____.
A. 0.25 B. 0.75 C. 0.2 D. 0.8 E. Not calculable
Q= a + bP + cA + dY where a, b, c, and d are coefficients.
The following is a partial printout of the multiple regression estimation obtained with missing values due to ink shortage:
Summary Output
Regression Statistics
Multiple R R Square Adjusted R Square Standard Error 142.44 Observations. 10 ANOVA
DF. SS. MS. F
Regression. 208 Residual. 52 Total

Based on the information above, the coefficient of determination R^2 is ____.
A. 0.25 B. 0.75 C. 0.2 D. 0.8 E. Not calculable

Explanation / Answer

SSR = 208

SSres = 52

SST = SSR + SSres = 208 + 52 = 260

R^2 = SSR / SST = 208 / 260 = 0.8

So correct option is . 0.8

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