Can movie rental revenue be predicted? A movie studio wishes to determine the relationship between the revenue from rental of comedies on streaming services and the revenue generated from the theatrical release of such movies. 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 service rentals (in millions of dollars) for each of the fifteen movies. Also shown are the scatter plot and the least-squares regression line for the data. The equation for this line is ŷ=3.38+0.15x. Theater revenue, x (in millions of dollars) Rental revenue, y (in millions of dollars) 21.0 5.5 60.9 10.0 61.0 16.0 27.5 3.1 36.7 12.7 30.6 5.7 14.8 2.0 49.6 15.7 13.1 10.2 25.9 8.9 44.1 6.5 66.9 9.5 27.5 11.8 24.9 7.9 6.9 1.5 Send data to calculator Send data to Excel Rental revenue (in millions of dollars) 18- 16+ x 14 12 10+ x 50 60 70 Theater revenue (in millions of dollars) Based on the studio's data and the regression line, answer the following. What was the observed rental revenue (in millions of dollars) when the theater revenue was 36.7 million dollars? From the regression equation, what is the predicted rental revenue (in millions of dollars) when the theater revenue is 36.7 million dollars? Round your answer to one or more decimal places.
Can movie rental revenue be predicted? A movie studio wishes to determine the relationship between the revenue from rental of comedies on streaming services and the revenue generated from the theatrical release of such movies. 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 service rentals (in millions of dollars) for each of the fifteen movies. Also shown are the scatter plot and the least-squares regression line for the data. The equation for this line is ŷ=3.38+0.15x. Theater revenue, x (in millions of dollars) Rental revenue, y (in millions of dollars) 21.0 5.5 60.9 10.0 61.0 16.0 27.5 3.1 36.7 12.7 30.6 5.7 14.8 2.0 49.6 15.7 13.1 10.2 25.9 8.9 44.1 6.5 66.9 9.5 27.5 11.8 24.9 7.9 6.9 1.5 Send data to calculator Send data to Excel Rental revenue (in millions of dollars) 18- 16+ x 14 12 10+ x 50 60 70 Theater revenue (in millions of dollars) Based on the studio's data and the regression line, answer the following. What was the observed rental revenue (in millions of dollars) when the theater revenue was 36.7 million dollars? From the regression equation, what is the predicted rental revenue (in millions of dollars) when the theater revenue is 36.7 million dollars? Round your answer to one or more decimal places.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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Transcribed Image Text:Can movie rental revenue be predicted?
A movie studio wishes to determine the relationship between the revenue from rental of comedies on streaming services and the revenue generated from the
theatrical release of such movies. 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 service rentals (in millions of dollars) for each of the fifteen
movies. Also shown are the scatter plot and the least-squares regression line for the data. The equation for this line is ŷ=3.38+0.15x.
Theater revenue, x
(in millions of dollars)
Rental revenue, y
(in millions of dollars)
21.0
5.5
60.9
10.0
61.0
16.0
27.5
3.1
36.7
12.7
30.6
5.7
14.8
2.0
49.6
15.7
13.1
10.2
25.9
8.9
44.1
6.5
66.9
9.5
27.5
11.8
24.9
7.9
6.9
1.5
Send data to calculator
Send data to Excel
Rental revenue
(in millions of dollars)
18-
16+
x
14
12
10+
x
50
60
70
Theater revenue
(in millions of dollars)
Based on the studio's data and the regression line, answer the following.
What was the observed rental revenue (in millions of dollars) when the theater revenue was 36.7 million dollars?
From the regression equation, what is the predicted rental revenue (in millions of dollars) when the theater revenue is
36.7 million dollars? Round your answer to one or more decimal places.
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