A real estate builder wishes to determine how house size (House) is influenced b

Question

A real estate builder wishes to determine how house size (House) is influenced by family income (Income) and family size (Size). House size is measured in hundreds of square feet and income is measured in thousands of dollars. The builder randomly selected 50 families and ran the multiple regression. Partial Microsoft Excel output is provided below:

Q) What are the regression degrees of freedom that are missing from the output?

A) 47

B) 2

C) 50

D) 49

Regression Statistics Multiple R 0.8479 R Square 0.7189 Adjusted R Square 0.7069 17.5571 Standard Error 50 Observations ANOVA MS SS 37043.3236 18521.6618 Regression 14487.7627 308.2503 Residual Total 49 51531.0863 t Stat P-value coeficients Standard Error -5.5146 Intercept 7.2273 -0.7630 0.4493 0.4262 0.0392 10.8668 0.0000 Income 1.6949 3.2708 0.0020 5.5437 Also SSR(X1 X2) 36.400.6326 and SSR (X2IX1) 3297.7917 Significance F 0.0000

Explanation / Answer

Regression degrees of freedom = Number of independent variables in the analysis

Here,

Number of independent variables = 2 (Income and Size)

Hence,

Regression degrees of freedom = 2

Option B is correct.

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