A researcher analyzes the factors that may influence amusement park attendance and estimates the following model: Attendance = 6 + 61 Price + 82 Rides + E, 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. Multiple Choice O O p-value 4.33E-09 Intercept Price* Rides* 0.0002 1.04E-10 According to the modified model, which of the following is the predicted value for Attendance when Price and Rides equal $85 and 30, respectively? 25,670 34,410 40,910 Coefficients 34.41 -1.20 3.62 55,600 Standard Error 4.06 0.28 0.36 t-stat 8.48 -4.23 10.15 Lower 95% 26.08 -1.79 2.89 Upper 95% 42.74 -0.62 4.35

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter2: Solving Linear Inequalities
Section: Chapter Questions
Problem 14CT
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A researcher analyzes the factors that may influence amusement park attendance and estimates the following model: Attendance = 60 + 6₁ Price + 62 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.
Intercept
Price*
Rides*
Multiple Choice
O 25,670
O 34,410
O 40,910
Coefficients
34.41
O 55,600
-1.20
3.62
Standard
Error
4.06
0.28
0.36
According to the modified model, which of the following is the predicted value for Attendance when Price and Rides equal $85 and 30, respectively?
t-stat
8.48
-4.23
10.15
p-value
4.33E-09
0.0002
1.04E-10
Lower 95%
26.08
-1.79
2.89
Upper 95%
42.74
-0.62
4.35
Transcribed Image Text:A researcher analyzes the factors that may influence amusement park attendance and estimates the following model: Attendance = 60 + 6₁ Price + 62 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. Intercept Price* Rides* Multiple Choice O 25,670 O 34,410 O 40,910 Coefficients 34.41 O 55,600 -1.20 3.62 Standard Error 4.06 0.28 0.36 According to the modified model, which of the following is the predicted value for Attendance when Price and Rides equal $85 and 30, respectively? t-stat 8.48 -4.23 10.15 p-value 4.33E-09 0.0002 1.04E-10 Lower 95% 26.08 -1.79 2.89 Upper 95% 42.74 -0.62 4.35
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