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A Real Estate Analyst Believes That the Three Main Factors

Question 16

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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.   When testing whether the explanatory variables jointly influence the response variable,the null hypothesis is ________. A)  H<sub>0</sub>: β<sub>0</sub> = β<sub>1</sub> = β<sub>2</sub> = β<sub>3</sub> = 0 B)  H<sub>0</sub>:β<sub>1</sub> = β<sub>2</sub> = β<sub>3</sub> = 0 C)  H<sub>0</sub>: β<sub>0</sub> + β<sub>1</sub> + β<sub>2</sub> + β<sub>3</sub> = 0 D)  H<sub>0</sub>:β<sub>1</sub> + β<sub>2</sub> + β<sub>3</sub> + 0 When testing whether the explanatory variables jointly influence the response variable,the null hypothesis is ________.


A) H0: β0 = β1 = β2 = β3 = 0
B) H01 = β2 = β3 = 0
C) H0: β0 + β1 + β2 + β3 = 0
D) H01 + β2 + β3 + 0

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