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,the observed value of the F-statistic is missing from the printout.What are the degrees of freedom for this F-statistic?
A)2 for the numerator,47 for the denominator
B)2 for the numerator,49 for the denominator
C)49 for the numerator,47 for the denominator
D)47 for the numerator,49 for the denominator

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,the observed value of the F-statistic is missing from the printout.What are the degrees of freedom for this F-statistic?
A)2 for the numerator,47 for the denominator 
B)2 for the numerator,49 for the denominator 
C)49 for the numerator,47 for the denominator 
D)47 for the numerator,49 for the denominator

Quizplus · Accepted Answer

The degrees of freedom for the F-statistic in an ANOVA test are determined by the number of groups and the total number of observations. Typically, the numerator degrees of freedom are the number of groups minus one, and the denominator degrees of freedom are the total number of observations minus the number of groups.

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