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A Real Estate Analyst Believes That the Three Main Factors

Question 100

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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 + β1Bedroom + β2Bath + 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) H0: β1 = β2 = β3 = 0
C) H0: β0 + β1 + β2 + β3 = 0
D) H0: β1 + β2 + β3 + 0

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