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SCENARIO 14-6
One of the Most Common Questions of Prospective β\beta

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SCENARIO 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 ( X 2 ) . Given below is EXCEL output of the regression model.
 SCENARIO 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 Scenario 14-6,what is your decision and conclusion for the test H<sub>0 </sub>:  \beta <sub>2</sub> = 0 vs.H<sub>1 </sub>:  \beta <sub>2</sub>  \neq  0 at the  \alpha  = 0.01 level of significance? A) Do not reject H<sub>0</sub> and conclude that the amount of insulation has a linear effect on heating costs. B) Reject H<sub>0</sub> and conclude that the amount of insulation does not have a linear effect on heating costs. C) Reject H<sub>0</sub> and conclude that the amount of insulation has a linear effect on heating costs. D) Do not reject H<sub>0</sub> and conclude that the amount of insulation does not have a linear effect on heating costs.
 SCENARIO 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 Scenario 14-6,what is your decision and conclusion for the test H<sub>0 </sub>:  \beta <sub>2</sub> = 0 vs.H<sub>1 </sub>:  \beta <sub>2</sub>  \neq  0 at the  \alpha  = 0.01 level of significance? A) Do not reject H<sub>0</sub> and conclude that the amount of insulation has a linear effect on heating costs. B) Reject H<sub>0</sub> and conclude that the amount of insulation does not have a linear effect on heating costs. C) Reject H<sub>0</sub> and conclude that the amount of insulation has a linear effect on heating costs. D) Do not reject H<sub>0</sub> and conclude that the amount of insulation does not have a linear effect on heating costs.
 SCENARIO 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 Scenario 14-6,what is your decision and conclusion for the test H<sub>0 </sub>:  \beta <sub>2</sub> = 0 vs.H<sub>1 </sub>:  \beta <sub>2</sub>  \neq  0 at the  \alpha  = 0.01 level of significance? A) Do not reject H<sub>0</sub> and conclude that the amount of insulation has a linear effect on heating costs. B) Reject H<sub>0</sub> and conclude that the amount of insulation does not have a linear effect on heating costs. C) Reject H<sub>0</sub> and conclude that the amount of insulation has a linear effect on heating costs. D) Do not reject H<sub>0</sub> and conclude that the amount of insulation does not have a linear effect on heating costs.
Also SSR (X1 | X2) = 8343.3572 and SSR (X2 | X1) = 4199.2672
-Referring to Scenario 14-6,what is your decision and conclusion for the test H0 : β\beta 2 = 0 vs.H1 : β\beta 2 \neq 0 at the α\alpha = 0.01 level of significance?


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