TABLE 14-6 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 2 variables to predict heating costs: the daily minimum outside temperature in degrees of Fahrenheit (X 1 )and the amount of insulation in inches (X 2 ).Given below is EXCEL output of the regression model. Also SSR (X 1 ∣ X 2 )= 8343.3572 and SSR (X 2 ∣ X 1 )= 4199.2672 -Referring to Table 14-6 and allowing for a 1% probability of committing a type I error,what is the decision and conclusion for the test H₀ : β₁ = β₂ = 0 vs.H₁ : At least one β_j ≠ 0,j = 1,2? A)Do not reject H₀ and conclude that the 2 independent variables taken as a group have significant linear effects on heating costs. B)Do not reject H₀ and conclude that the 2 independent variables taken as a group do not have significant linear effects on heating costs. C)Reject H₀ and conclude that the 2 independent variables taken as a group have significant linear effects on heating costs. D)Reject H₀and conclude that the 2 independent variables taken as a group do not have significant linear effects on heating costs.

Question

Quizplus · Accepted Answer

The Answer of TABLE 14-6 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 2 variables to predict heating costs: the daily minimum outside temperature in degrees of Fahrenheit (X 1 )and the amount of insulation in inches (X 2 ).Given below is EXCEL output of the regression model. Also SSR (X 1 ∣ X 2 )= 8343.3572 and SSR (X 2 ∣ X 1 )= 4199.2672 -Referring to Table 14-6 and allowing for a 1% probability of committing a type I error,what is the decision and conclusion for the test H₀ : β₁ = β₂ = 0 vs.H₁ : At least one β_j ≠ 0,j = 1,2? A)Do not reject H₀ and conclude that the 2 independent variables taken as a group have significant linear effects on heating costs. B)Do not reject H₀ and conclude that the 2 independent variables taken as a group do not have significant linear effects on heating costs. C)Reject H₀ and conclude that the 2 independent variables taken as a group have significant linear effects on heating costs. D)Reject H₀and conclude that the 2 independent variables taken as a group do not have significant linear effects on heating costs.

TABLE 14-6 One of the Most Common Questions of Prospective House Buyers