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A Researcher Analyzes the Factors That May Influence Amusement Park

question 41

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A researcher analyzes the factors that may influence amusement park attendance and estimates the following model: Attendance = β0 + β1 Price + β2 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. 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] 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] 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. )


Definitions:

Interstate Commerce

The exchange, movement, or transfer of goods and services across state lines within the United States.

National Government Supremacy

The principle that the federal or national government has predominant power and authority over regional or state governments, especially in legislative matters.

Commerce Among States

The regulation of trade and business across state lines, often governed by federal law in contexts such as the United States.

Gibbons v. Ogden

A landmark Supreme Court case in 1824 that clarified the scope of the U.S. Congress's legislative power over interstate commerce.

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