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

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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 (X1) and the amount of insulation in inches (X2) .Given below is EXCEL output of the regression model. 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<sub>1</sub>) and the amount of insulation in inches (X<sub>2</sub>) .Given below is EXCEL output of the regression model.   Also SSR (X<sub>1</sub> ∣ X<sub>2</sub>) = 8343.3572 and SSR (X<sub>2</sub> ∣ X<sub>1</sub>) = 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 H<sub>0</sub> : β<sub>1</sub> = β<sub>2</sub> = 0 vs.H<sub>1</sub> : At least one β<sub>j</sub> ≠ 0,j = 1,2? A) Do not reject H<sub>0</sub> and conclude that the 2 independent variables taken as a group have significant linear effects on heating costs. B) Do not reject H<sub>0</sub> and conclude that the 2 independent variables taken as a group do not have significant linear effects on heating costs. C) Reject H<sub>0</sub> and conclude that the 2 independent variables taken as a group have significant linear effects on heating costs. D) Reject H<sub>0 </sub>and conclude that the 2 independent variables taken as a group do not have significant linear effects on heating costs. Also SSR (X1 ∣ X2) = 8343.3572 and SSR (X2 ∣ X1) = 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 βj ≠ 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 H0 and conclude that the 2 independent variables taken as a group do not have significant linear effects on heating costs.

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