TABLE 17-2 One of the Most Common Questions of Prospective House Buyers

Multiple Choice

TABLE 17-2
One of the most common questions of prospective house buyers pertains to the cost of heating in dollars (Y) .To provide its customers with information on that matter,a large real estate firm used the following 4 variables to predict heating costs: the daily minimum outside temperature in degrees of Fahrenheit (X₁) ,the amount of insulation in inches (X₂) ,the number of windows in the house (X₃) ,and the age of the furnace in years (X₄) .Given below are the EXCEL outputs of two regression models.
-Referring to Table 17-2,what are the degrees of freedom of the partial F test for H₀ : β₃ = β₄ = 0 vs.H₁ : At least one β_j ≠ 0,j = 3,4?

A) 2 numerator degrees of freedom and 15 denominator degrees of freedom
B) 15 numerator degrees of freedom and 2 denominator degrees of freedom
C) 2 numerator degrees of freedom and 17 denominator degrees of freedom
D) 17 numerator degrees of freedom and 2 denominator degrees of freedom