13.73 Can you use movie critics' opinions to forecast box office receipts on the opening weekend? The following data, stored in Tomatometer, indicate the Tomatometer rating, the percentage of professional critic reviews that are positive, and the receipts per theater (Sthousands) on the weekend a movie opened for 10 movies: Movie Tomatometer Rating Receipts 7.8 The Mummy 16 Zookeeper's Wife 61 6.1 Beatriz at Dinner 80 28.4 The Hero 76 11.3 Wonder Woman 93 24.8 Baby Boss 52 13.3 The Circle 15 2.9 Dean 61 4.0 Вауwatch Churchill 20 5.1 38 1.9 Source: "Top Box Office Movies – Rotten Tomatoes," and "The Numbers - Weekend Box Office Chart for May 26th 2017," bit.ly/2t0tqS6. a. Use the least-squares method to compute the regression coeffi- cients by and bj. b. Interpret the meaning of by, and b, in this problem. c. Predict the mean receipts for a movie that has a Tomatometer rating of 55%. d. Should you use the model to predict the receipts for a movie that has a Tomatometer rating of 5%? Why or why not? e. Determine the coefficient of determination, r², and explain its meaning in this problem. f. Perform a residual analysis. Is there any evidence of a pattern in the residuals? Explain. g. At the 0.05 level of significance, is there evidence of a linear relationship between Tomatometer rating and receipts? h. Construct a 95% confidence interval estimate of the mean receipts for a movie that has a Tomatometer rating of 55% and a 95% prediction interval of the receipts for a single movie that has a Tomatometer rating of 55%. 1. Based on the results of (a)-(h), do you think that Tomatometer rating is a useful predictor of reccipts on the first weekend a movie opens? What issues about these data might make you hesitant to use Tomatometer rating to predict receipts?
13.73 Can you use movie critics' opinions to forecast box office receipts on the opening weekend? The following data, stored in Tomatometer, indicate the Tomatometer rating, the percentage of professional critic reviews that are positive, and the receipts per theater (Sthousands) on the weekend a movie opened for 10 movies: Movie Tomatometer Rating Receipts 7.8 The Mummy 16 Zookeeper's Wife 61 6.1 Beatriz at Dinner 80 28.4 The Hero 76 11.3 Wonder Woman 93 24.8 Baby Boss 52 13.3 The Circle 15 2.9 Dean 61 4.0 Вауwatch Churchill 20 5.1 38 1.9 Source: "Top Box Office Movies – Rotten Tomatoes," and "The Numbers - Weekend Box Office Chart for May 26th 2017," bit.ly/2t0tqS6. a. Use the least-squares method to compute the regression coeffi- cients by and bj. b. Interpret the meaning of by, and b, in this problem. c. Predict the mean receipts for a movie that has a Tomatometer rating of 55%. d. Should you use the model to predict the receipts for a movie that has a Tomatometer rating of 5%? Why or why not? e. Determine the coefficient of determination, r², and explain its meaning in this problem. f. Perform a residual analysis. Is there any evidence of a pattern in the residuals? Explain. g. At the 0.05 level of significance, is there evidence of a linear relationship between Tomatometer rating and receipts? h. Construct a 95% confidence interval estimate of the mean receipts for a movie that has a Tomatometer rating of 55% and a 95% prediction interval of the receipts for a single movie that has a Tomatometer rating of 55%. 1. Based on the results of (a)-(h), do you think that Tomatometer rating is a useful predictor of reccipts on the first weekend a movie opens? What issues about these data might make you hesitant to use Tomatometer rating to predict receipts?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Transcribed Image Text:13.73 Can you use movie critics' opinions to forecast box office
receipts on the opening weekend? The following data, stored in
Tomatometer , indicate the Tomatometer rating, the percentage
of professional critic reviews that are positive, and the receipts
per theater (Sthousands) on the weekend a movie opened for
10 movies:
Movie
Tomatometer Rating
Receipts
The Mummy
16
7.8
Zookeeper's Wife
61
6.1
Beatriz at Dinner
80
28.4
The Hero
76
11.3
Wonder Woman
93
24.8
Baby Boss
52
13.3
The Circle
15
2.9
Dean
61
4.0
Ваywatch
20
5.1
Churchill
38
1.9
Source: "Top Box Office Movies – Rotten Tomatoes," and "The Numbers -
Weekend Box Office Chart for May 26th 2017," bit.ly/2t0tqS6.
a. Use the least-squares method to compute the regression coeffi-
cients b, and bj.
b. Interpret the meaning of b, and b, in this problem.
c. Predict the mean receipts for a movie that has a Tomatometer
rating of 55%.
d. Should you use the model to predict the receipts for a movie that
has a Tomatometer rating of 5%? Why or why not?
e. Determine the coefficient of determination, r², and explain its
meaning in this problem.
f. Perform a residual analysis. Is there any evidence of a pattern in
the residuals? Explain.
g. At the 0.05 level of significance, is there evidence of a linear
relationship between Tomatometer rating and receipts?
h. Construct a 95% confidence interval estimate of the mean
receipts for a movie that has a Tomatometer rating of 55% and
a 95% prediction interval of the receipts for a single movie that
has a Tomatometer rating of 55%.
i. Based on the results of (a)–(h), do you think that Tomatometer
rating is a useful predictor of receipts on the first weekend a
movie opens? What issues about these data might make you
hesitant to use Tomatometer rating to prediet receipts?
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