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A Real Estate Analyst Believes That the Three Main Factors

question 119

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A real estate analyst believes that the three main factors that influence an apartment's rent in a college town are the number of bedrooms,the number of bathrooms,and the apartment's square footage.For 40 apartments,she collects data on the rent (y,in $) ,the number of bedrooms (x1) ,the number of bathrooms (x2) ,and its square footage (x3) .She estimates the following model: Rent = β0 + β1 Bedroom + β2 Bath + β3Sqft + ε.The following table shows a portion of the regression results. A real estate analyst believes that the three main factors that influence an apartment's rent in a college town are the number of bedrooms,the number of bathrooms,and the apartment's square footage.For 40 apartments,she collects data on the rent (y,in $) ,the number of bedrooms (x<sub>1</sub>) ,the number of bathrooms (x<sub>2</sub>) ,and its square footage (x<sub>3</sub>) .She estimates the following model: Rent = β<sub>0</sub> + β<sub>1</sub> Bedroom + β<sub>2</sub> Bath + β<sub>3</sub>Sqft + ε.The following table shows a portion of the regression results. Which of the following are the hypotheses to test if the explanatory variables Bath and Sqft are jointly significant in explaining Rent? A) H<sub>0</sub>:β<sub>2</sub> = β<sub>3 </sub>= 0;H<sub>A</sub>: both of the coefficients are nonzero. B) H<sub>0</sub>:β<sub>2</sub> = β<sub>3 </sub>= 0;H<sub>A</sub>: at least one of the coefficients is zero. C) H<sub>0</sub>:β<sub>2</sub> = β<sub>3 </sub>= 0;H<sub>A</sub>: at least one of the coefficients is nonzero. D) H<sub>0</sub>:β<sub>2</sub> = β<sub>3 </sub>= 0;H<sub>A</sub>: both of the coefficients are zero. Which of the following are the hypotheses to test if the explanatory variables Bath and Sqft are jointly significant in explaining Rent?

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