A movie studio wishes to determine the relationship between the revenue from the streaming rental of comedies and the revenue generated from the theatrical release of such comedies. The studio has the following bivariate data from a sample of fifteen comedies released over the past five years. These data give the revenue x from theatrical release (in millions of dollars) and the revenue y from streaming rentals (in millions of dollars) for each of the fifteen movies. The data are displayed in the Figure 1 scatter plot. Also given is the product of the theater revenue and the rental revenue for each of the fifteen movies. (These products, written in the column labelled "xy", may aid in calculations.) Rental revenue, y (in millions of dollars) 4.5 16.0 2.7 12.2 3.2 6.1 10.8 10.2 12.0 10.8 15.3 6.2 2.6 8.9 7.9 0 Theater revenue, x (in millions of dollars) 31.6 60.9 27.9 28.2 14.8 24.7 12.8 60.8 36.0 65.7 48.9 20.6 7.1 24.5 45.4 Send data to calculator V xy 142.2 974.4 75.33 344.04 47.36 150.67 138.24 620.16 432 709.56 748.17 127.72 18.46 218.05 358.66 Rental revenue (in millions of dollars) Figure 1 18 16- 14 12- 0 10 20 30 40 50 60 Theater revenue (in millions of dollars) 70 What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.)
A movie studio wishes to determine the relationship between the revenue from the streaming rental of comedies and the revenue generated from the theatrical release of such comedies. The studio has the following bivariate data from a sample of fifteen comedies released over the past five years. These data give the revenue x from theatrical release (in millions of dollars) and the revenue y from streaming rentals (in millions of dollars) for each of the fifteen movies. The data are displayed in the Figure 1 scatter plot. Also given is the product of the theater revenue and the rental revenue for each of the fifteen movies. (These products, written in the column labelled "xy", may aid in calculations.) Rental revenue, y (in millions of dollars) 4.5 16.0 2.7 12.2 3.2 6.1 10.8 10.2 12.0 10.8 15.3 6.2 2.6 8.9 7.9 0 Theater revenue, x (in millions of dollars) 31.6 60.9 27.9 28.2 14.8 24.7 12.8 60.8 36.0 65.7 48.9 20.6 7.1 24.5 45.4 Send data to calculator V xy 142.2 974.4 75.33 344.04 47.36 150.67 138.24 620.16 432 709.56 748.17 127.72 18.46 218.05 358.66 Rental revenue (in millions of dollars) Figure 1 18 16- 14 12- 0 10 20 30 40 50 60 Theater revenue (in millions of dollars) 70 What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
10
Transcribed Image Text:**Analyzing Revenue Relationships in Comedic Films**
A movie studio aims to explore the relationship between revenue from streaming rentals and theatrical releases for comedies. Presented below is a dataset from fifteen comedy films over the past five years. The data includes theatrical release revenue (\( x \)) and streaming rental revenue (\( y \)), both in millions of dollars. Additionally, the product of theater and rental revenue for each movie is provided in the column labeled "xy".
**Data Table:**
| Theater Revenue \( x \) | Rental Revenue \( y \) | \( xy \) |
|-------------------------|------------------------|------------|
| 31.6 | 4.5 | 142.2 |
| 60.9 | 16.0 | 974.4 |
| 27.9 | 2.7 | 75.33 |
| 28.2 | 12.2 | 344.04 |
| 14.8 | 3.2 | 47.36 |
| 24.7 | 6.1 | 150.67 |
| 12.8 | 10.8 | 138.24 |
| 60.8 | 10.2 | 620.16 |
| 36.0 | 12.0 | 432 |
| 65.7 | 10.8 | 709.56 |
| 48.9 | 15.3 | 748.17 |
| 20.6 | 6.2 | 127.72 |
| 7.1 | 2.6 | 18.46 |
| 24.5 | 8.9 | 218.05 |
| 45.4 | 7.9 | 358.66 |
**Scatter Plot (Figure 1):**
The scatter plot illustrates the relationship between theater revenue (\( x \)-axis) and rental revenue (\( y \)-axis). Each point represents one of the fifteen movies, showing how the streaming rental revenue correlates with the theatrical revenue.
**Objective:**
The goal is to determine the slope of the least-squares regression line for this dataset. Calculations must maintain precision to at least four decimal places
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman