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Sample Final Answers.pdf - Sample Final Exam Answers Mgmt...

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1Mgmt 402SampleFinal Exam AnswersQuestion 1(19 points)A large movie studio is examining box office ticket sales for animated films, to help identifypotential investment opportunities. They have obtained a dataset consisting of 376 animatedfilms created since 1990, each with the following variables:OPENING_GROSSgross revenue during the opening weekend (in $).OPENING_THEATERS number of theaters film is shown during opening weekend.DECADE_2000dummy variable that equals 1 if film opened from 2000-2009,0 otherwise.DECADE_2010dummy variable that equals 1 if film opened after 2010,0 otherwise.PIXARdummy variable that equals 1 if film was created by Pixar Studios.SEQUELdummy variable that equals 1 if film is a sequel, 0 otherwise.A regression model was run with the following output:Dependent Variable:OPENING_GROSSIndependent Variables:DECADE_2000, DECADE_2010, OPENING_THEATERS, PIXAR, SEQUELDescriptive StatisticsVariableCountMeanMedianStd.DevMinimumMaximumOPENING_GROSS37616,004,9474,148,51523,949,867478 135,060,273DECADE_20003760.37800.48501DECADE_20103760.45500.49901OPENING_THEATERS3761,8172,0571,63914,529PIXAR3760.04800.21401SEQUEL3760.12800.33401Correlation MatrixOPENING_GROSSDECADE_2000DECADE_2010 OPENING_THEATERSPIXARSEQUELOPENING_GROSS1.000DECADE_20000.0251.000DECADE_20100.122-0.7111.000OPENING_THEATERS0.7560.0930.0341.000PIXAR0.4310.005-0.0050.2171.000SEQUEL0.340-0.0680.1470.2700.1381.000Regression StatisticsR SquareAdj.RSqrStd.Err.Reg.# Cases# Missingt(2.5%,370)0.6690.66413,874,03437601.966Summary TableVariableCoeffStd.Err.Intercept-7,859,3111,829,996DECADE_20003,018,3562,131,339DECADE_20106,169,8902,079,471OPENING_THEATERS9,601469PIXAR30,567,9513,449,060SEQUEL7,925,2312,258,453
Question 1(continued)(a)What is the average gross revenue during opening weekend for animated films?(2 points)
(b)What is the estimate of the standard deviation of the error terms for this regression?
(c)What is the 95% confidence interval for the change in expected gross revenue duringopening weekend associated with 100 additional theaters showing the film?(4 points)𝛼𝛼
2

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