Multiple Choice
A researcher analyzes the factors that may influence amusement park attendance and estimates the following model: Attendance = β0 + β1Price + β2Rides + ε, where Attendance is the daily attendance (in 1,000s) , Price is the gate price (in $) , and Rides is the number of rides at the amusement park. The researcher would like to construct interval estimates for Attendance when Price and Rides equal $85 and 30, respectively. The researcher estimates a modified model where Attendance is the response variable and the explanatory variables are now defined as Price* = Price - 85 and Rides* = Rides - 30. A portion of the regression results is shown in the accompanying table. ![A researcher analyzes the factors that may influence amusement park attendance and estimates the following model: Attendance = β<sub>0</sub> + β<sub>1</sub>Price + β<sub>2</sub>Rides + ε, where Attendance is the daily attendance (in 1,000s) , Price is the gate price (in $) , and Rides is the number of rides at the amusement park. The researcher would like to construct interval estimates for Attendance when Price and Rides equal $85 and 30, respectively. The researcher estimates a modified model where Attendance is the response variable and the explanatory variables are now defined as Price* = Price - 85 and Rides* = Rides - 30. A portion of the regression results is shown in the accompanying table. According to the modified model, which of the following is a 95% prediction interval for Attendance when Price and Rides equal $85 and 30, respectively? (Note that t<sub>0.025,27</sub> = 2.052.) A) [12,740, 56,080] B) [16,330, 53,450] C) [26,080, 42,740] D) [28,900, 41,500]](https://d2lvgg3v3hfg70.cloudfront.net/TB6618/11ea8309_a96d_058b_b223_93d8e0650350_TB6618_00.jpg)
![A researcher analyzes the factors that may influence amusement park attendance and estimates the following model: Attendance = β<sub>0</sub> + β<sub>1</sub>Price + β<sub>2</sub>Rides + ε, where Attendance is the daily attendance (in 1,000s) , Price is the gate price (in $) , and Rides is the number of rides at the amusement park. The researcher would like to construct interval estimates for Attendance when Price and Rides equal $85 and 30, respectively. The researcher estimates a modified model where Attendance is the response variable and the explanatory variables are now defined as Price* = Price - 85 and Rides* = Rides - 30. A portion of the regression results is shown in the accompanying table. According to the modified model, which of the following is a 95% prediction interval for Attendance when Price and Rides equal $85 and 30, respectively? (Note that t<sub>0.025,27</sub> = 2.052.) A) [12,740, 56,080] B) [16,330, 53,450] C) [26,080, 42,740] D) [28,900, 41,500]](https://d2lvgg3v3hfg70.cloudfront.net/TB6618/11ea8309_a96d_2c9c_b223_e943fadf84c1_TB6618_00.jpg)
According to the modified model, which of the following is a 95% prediction interval for Attendance when Price and Rides equal $85 and 30, respectively? (Note that t0.025,27 = 2.052.)
A) [12,740, 56,080]
B) [16,330, 53,450]
C) [26,080, 42,740]
D) [28,900, 41,500]
Correct Answer:
Verified
Correct Answer:
Verified
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