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

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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. 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 (X<sub>1</sub>) ,the amount of insulation in inches (X<sub>2</sub>) ,the number of windows in the house (X<sub>3</sub>) ,and the age of the furnace in years (X<sub>4</sub>) .Given below are the EXCEL outputs of two regression models.     -Referring to Table 17-2,what is your decision and conclusion for the test H<sub>0</sub> : β<sub>2</sub> = 0 vs.H<sub>1 </sub>: β<sub>2</sub> < 0 at the α = 0.01 level of significance using Model 1? A) Do not reject H<sub>0 </sub>and conclude that the amount of insulation has a linear effect on heating cots. 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 negative linear effect on heating costs. D) Do not reject H<sub>0 </sub>and conclude that the amount of insulation has a negative linear effect on heating costs. 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 (X<sub>1</sub>) ,the amount of insulation in inches (X<sub>2</sub>) ,the number of windows in the house (X<sub>3</sub>) ,and the age of the furnace in years (X<sub>4</sub>) .Given below are the EXCEL outputs of two regression models.     -Referring to Table 17-2,what is your decision and conclusion for the test H<sub>0</sub> : β<sub>2</sub> = 0 vs.H<sub>1 </sub>: β<sub>2</sub> < 0 at the α = 0.01 level of significance using Model 1? A) Do not reject H<sub>0 </sub>and conclude that the amount of insulation has a linear effect on heating cots. 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 negative linear effect on heating costs. D) Do not reject H<sub>0 </sub>and conclude that the amount of insulation has a negative linear effect on heating costs.
-Referring to Table 17-2,what is your decision and conclusion for the test H0 : β2 = 0 vs.H1 : β2 < 0 at the α = 0.01 level of significance using Model 1?


Definitions:

Operation of Law

Changes in legal rights or obligations that occur automatically due to established laws, rather than the actions or agreements of individuals.

Express Statements

Clearly articulated and directly communicated declarations or assertions.

Implied Warranty of Fitness

An assurance that a product will meet a buyer’s specified purpose when the seller knows the particular purpose for which the buyer will use the goods.

Survival Hike

An outdoor adventure aimed at testing or improving the skills necessary to survive in wilderness conditions.

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