The sum of squares due to the regression and the number of explanatory variables

Question

The sum of squares due to the regression and the number of explanatory variables are :

A. 44,539.54 and 2, respectively.

B. 747,851.57, and 2, respectively.

C. 1,540,242.68 and 48, respectively.

D. There is not sufficient information to answer this question.

SUMMARY OUTPUT Regression Statistics Multiple R 0.971 R Square A Adjusted R Square B Standard Error 30.462 Observations 51 ANOVA Df SS MS F Significance F Regression C 747851.57 373925.79 402.98 9.89E-31 Residual 48 D 927.91 Total 50 792391.11 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept E 62.13 26.79 1.60E-30 1539.66 1789.51 Price of Roses -6.68 F -1.41 1.64E-01 -16.16 2.81 Disposable Income (M) 9.73 0.34 G 1.23E-31 9.04 10.42

Explanation / Answer

Regression degrees of freedom = 50 - 48 = 2

As we know,

Regression degrees of freedom = Number of exploratory variables

So,

Number of exploratory variables = 2

Also,

Regression sum of squares = 747851.57 (Given)

Hence,

Option B is correct.

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