Question

A researcher analyzes the factors that may influence amusement park attendance and estimates the following model:...

A researcher analyzes the factors that may influence amusement park attendance and estimates the following model: Attendance = ?0 + ?1Price + ?2Rides + ?, 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.

   Coefficients Standard Error t-stat p-value Lower 95% Upper 95%
Intercept 34.41 4.06 8.48 4.33E-09 26.08 42.74
Price* ?1.20 0.28 ?4.23 0.0002 ?1.79 ?0.62
Rides* 3.62 0.36 10.15 1.04E-10 2.89 4.35

According to the modified model, which of the following is the predicted value for Attendance when Price and Rides equal $85 and 30, respectively?

55,600

25,670

34,410

40,910

Question 27

Tiffany & Co. has been the world's premier jeweler since 1837. The performance of Tiffany's stock is likely to be strongly influenced by the economy. Monthly data for Tiffany's risk-adjusted return and the risk-adjusted market return are collected for a five-year period (n = 60). The accompanying table shows the regression results when estimating the CAPM model for Tiffany's return.

Coefficients Standard Error t-stat p-value Lower 95% Upper 95%
Intercept 0.0198 0.010 1.98 0.0598 ?0.0008 0.0405
RMRf 1.827 0.191 9.58 1.494E-13 1.4456 2.2094

When testing whether the beta coefficient is significantly greater than one, the relevant critical value at the 5% significance level is t0.05,58 = 1.672. The conclusion to the test is to ________.

not reject H0, and conclude that the return on Tiffany stock is less risky than the return on the market

not reject H0, and conclude that the return on Tiffany stock is riskier than the return on the market

reject H0, and conclude that the return on Tiffany stock is riskier than the return on the market

reject H0, and conclude that the return on Tiffany stock is less risky than the return on the market

40,910

Homework Answers

Answer #1

THe true regression modle is

Attendance =B0+B1Price + B2Rides + e

when 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.

Then, estimated regression model is

Attendance =34.41 -1.20 Price* +3.62 Rides*

the predicted value for Attendance when Price and Rides equal $85 and 30 is

Attendance =34.41 -1.20 (Price-85) +3.62 (Rides-30)

Attendance =34.41 -1.20 (85-85) +3.62 (30-30)

Attendance =34.41 (in 1,000s)

Attendance =34,410

27.

The conclusion to the test is to reject H0, and conclude that the return on Tiffany stock is riskier than the return on the market

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