TABLE 14-4
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: Also SSR (X 1 ∣ X 2 )= 36400.6326 and SSR (X 2 ∣ X 1 )= 3297.7917
-Referring to Table 14-4,what are the residual degrees of freedom that are missing from the output?
A)2
B)47
C)49
D)50

Question

TABLE 14-4
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:  Also SSR (X 1 ∣ X 2 )= 36400.6326 and SSR (X 2 ∣ X 1 )= 3297.7917
-Referring to Table 14-4,what are the residual degrees of freedom that are missing from the output?
A)2 
B)47 
C)49 
D)50

Quizplus · Accepted Answer

The residual degrees of freedom can be calculated as the total number of observations (n=50) minus the number of independent variables in the model (2, income and family size). Therefore, the missing residual degrees of freedom are 50-2=48. However, the output only gives the residual degrees of freedom for one of the two models (X₁ ∣ X₂), which means that there is one residual degree of freedom missing. Therefore, the best choice is B (47).

TABLE 14-4 A Real Estate Builder Wishes to Determine How House Size