A box office analyst seeks to predict opening weekend box office gross for movies. Toward this​ goal, the analyst plans to use online trailer views as a predictor. For each of the 66​movies, the number of online trailer views from the release of the trailer through the Saturday before a movie opens and the opening weekend box office gross​ (in millions of​ dollars) are collected and stored in the accompanying table. A linear regression was performed on these​ data, and the result is the linear regression equation Yi=−0.372+1.3802Xi. Complete parts​ (a) through​ (d). a. Determine the coefficient of​ determination, r2​, and interpret its meaning. b. Determine the standard error of the estimate. c. How useful do you think this regression model is for predicting opening weekend box office​ gross? d. Can you think of other variables that might explain the variation in opening weekend box office​ gross?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

A box office analyst seeks to predict opening weekend box office gross for movies. Toward this​ goal, the analyst plans to use online trailer views as a predictor. For each of the 66​movies, the number of online trailer views from the release of the trailer through the Saturday before a movie opens and the opening weekend box office gross​ (in millions of​ dollars) are collected and stored in the accompanying table. A linear regression was performed on these​ data, and the result is the linear regression equation Yi=−0.372+1.3802Xi.

Complete parts​ (a) through​ (d).

a. Determine the coefficient of​ determination, r2​, and interpret its meaning.
b. Determine the standard error of the estimate.
c. How useful do you think this regression model is for predicting opening weekend box office​ gross?
d. Can you think of other variables that might explain the variation in opening weekend box office​ gross?

### Online Trailer Views vs. Opening Weekend Box Office Gross

The table below presents a comparison between online trailer views (measured in millions) and the corresponding opening weekend box office gross (measured in millions of dollars) for a range of films. The data is split into two columns, each listing trailer views juxtaposed with box office earnings.

#### Online Trailer Views and Box Office Gross

- **Column 1:**
  - **Trailer Views (millions):**
    - Ranges from 0.357 million to 86.661 million.
  - **Box Office Gross ($ millions):**
    - Ranges from 1.102 million to 104.670 million.

- **Column 2:**
  - **Trailer Views (millions):**
    - Ranges from 0.272 million to 82.423 million.
  - **Box Office Gross ($ millions):**
    - Ranges from 0.353 million to 174.927 million.

### Analysis

The data indicates a potential relationship between the number of views a trailer receives online and the success of the film's box office performance during its opening weekend. Higher trailer view counts sometimes correlate with higher box office returns, although exceptions do exist. 

This table can be utilized for research and educational purposes to understand marketing impacts on movie earnings and to analyze consumer interest as predicted by trailer popularity.
Transcribed Image Text:### Online Trailer Views vs. Opening Weekend Box Office Gross The table below presents a comparison between online trailer views (measured in millions) and the corresponding opening weekend box office gross (measured in millions of dollars) for a range of films. The data is split into two columns, each listing trailer views juxtaposed with box office earnings. #### Online Trailer Views and Box Office Gross - **Column 1:** - **Trailer Views (millions):** - Ranges from 0.357 million to 86.661 million. - **Box Office Gross ($ millions):** - Ranges from 1.102 million to 104.670 million. - **Column 2:** - **Trailer Views (millions):** - Ranges from 0.272 million to 82.423 million. - **Box Office Gross ($ millions):** - Ranges from 0.353 million to 174.927 million. ### Analysis The data indicates a potential relationship between the number of views a trailer receives online and the success of the film's box office performance during its opening weekend. Higher trailer view counts sometimes correlate with higher box office returns, although exceptions do exist. This table can be utilized for research and educational purposes to understand marketing impacts on movie earnings and to analyze consumer interest as predicted by trailer popularity.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman