TABLE 13-4
A real estate builder wishes to determine how house size (House) is influenced by family income (Income), family size (Size), and education of the head of household (School). House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is in years. The builder randomly selected 50 families and ran the multiple regression. Microsoft Excel output is provided below:

-Referring to Table 13-4, what are the regression degrees of freedom that are missing from the output?
A) 3
B) 46
C) 49
D) 50

Question

TABLE 13-4
A real estate builder wishes to determine how house size (House) is influenced by family income (Income), family size (Size), and education of the head of household (School). House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is in years. The builder randomly selected 50 families and ran the multiple regression. Microsoft Excel output is provided below:
 
-Referring to Table 13-4, what are the regression degrees of freedom that are missing from the output?
A) 3 
B) 46 
C) 49 
D) 50

Quizplus · Accepted Answer

The regression degrees of freedom equals the sample size minus the number of independent variables (including the constant term). In this case, the sample size is 50 and there are 3 independent variables (Income, Size, and School), plus the constant term. Therefore, the missing degrees of freedom are 3. The total degrees of freedom should be 50, since that is the sample size.

TABLE 13-4 A Real Estate Builder Wishes to Determine How House Size