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A Researcher Analyzes the Factors That May Influence Amusement Park

Question 89

Multiple Choice

A researcher analyzes the factors that may influence amusement park attendance. She estimates the following model: Attendance = β0 + β1Price + β2Temperature + β3Rides + ε, where Attendance is the daily attendance (in 1,000s) , Price is the gate price (in $) , Temperature is the average daily temperature (in °F) , and Rides is the number of rides at the amusement park. A portion of the regression results is shown in the accompanying table. A researcher analyzes the factors that may influence amusement park attendance. She estimates the following model: Attendance = β<sub>0</sub> + β<sub>1</sub>Price + β<sub>2</sub>Temperature + β<sub>3</sub>Rides + ε, where Attendance is the daily attendance (in 1,000s) , Price is the gate price (in $) , Temperature is the average daily temperature (in °F) , and Rides is the number of rides at the amusement park. A portion of the regression results is shown in the accompanying table. Which of the following are the hypotheses to test if the explanatory variables Temperature and Rides are jointly significant in explaining Attendance? A) 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. 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>0</sub> = β<sub>1</sub> = 0; H<sub>A</sub>: At least one of the coefficients is nonzero. D) H<sub>0</sub>: β<sub>0</sub> = β<sub>1</sub> = 0; H<sub>A</sub>: At least one of the coefficients is zero. Which of the following are the hypotheses to test if the explanatory variables Temperature and Rides are jointly significant in explaining Attendance?


A) H0: β2 = β3 = 0; HA: At least one of the coefficients is nonzero.
B) H0: β2 = β3 = 0; HA: At least one of the coefficients is zero.
C) H0: β0 = β1 = 0; HA: At least one of the coefficients is nonzero.
D) H0: β0 = β1 = 0; HA: At least one of the coefficients is zero.

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