A movie studio wishes to determine the relationship between the revenue from rental of comedies on DVD and videotape and the revenue generated from the theatrical release of such movies. The studio has the following bivariate data from a sample of 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 DVD and videctape rentals (in millions of dollars) for each of the movies. Alsa shown are the scatter plot and the least-squares regression line for the data. The equation for this line is y- 3.62 + 0.15x. Theater Rental revenue, y (in millions of (in millions of dollars) revenue, x dollars) 25.9 9.2 60.4 16.3 31.2 5.7 62.4 9.9 26.5 12.1 43.6 6.5 21.2 5.5 37.1 12.5 48.7 16.1 13.3 11.3 7.5 2.2 14.8 2.1 Theater revenue, x 65.7 10.6 (in millions of dollars) 25.7 7.6 27.9 2.9 Send data to calculator v Send data to Excel Based on the sample data and the regression line, complete the following. (a) For these data, values for theater revenue that are less than the mean of the values for theater revenue tend to be paired with values for rental revenue that are (Choose one) the mean of the values for rental revenue. greater than ess than (b) According to the regression equation, for an increase of one million dollars in theater revenue, there is a corresponding (Choose one) of 0.15 million dolars in rental revenue. ) What was the observed rental revenue (in millions of dollars) when the theater revenue was 13.3 million dollars? (d) From the regression equation, what is the predicted rental revenue (in millons of dollars) when the theater revenue is 13.3 million dollars? (Round your answer to at least one decimal place.) (Sejop jo sueu u) d'anuana eua
A movie studio wishes to determine the relationship between the revenue from rental of comedies on DVD and videotape and the revenue generated from the theatrical release of such movies. The studio has the following bivariate data from a sample of 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 DVD and videctape rentals (in millions of dollars) for each of the movies. Alsa shown are the scatter plot and the least-squares regression line for the data. The equation for this line is y- 3.62 + 0.15x. Theater Rental revenue, y (in millions of (in millions of dollars) revenue, x dollars) 25.9 9.2 60.4 16.3 31.2 5.7 62.4 9.9 26.5 12.1 43.6 6.5 21.2 5.5 37.1 12.5 48.7 16.1 13.3 11.3 7.5 2.2 14.8 2.1 Theater revenue, x 65.7 10.6 (in millions of dollars) 25.7 7.6 27.9 2.9 Send data to calculator v Send data to Excel Based on the sample data and the regression line, complete the following. (a) For these data, values for theater revenue that are less than the mean of the values for theater revenue tend to be paired with values for rental revenue that are (Choose one) the mean of the values for rental revenue. greater than ess than (b) According to the regression equation, for an increase of one million dollars in theater revenue, there is a corresponding (Choose one) of 0.15 million dolars in rental revenue. ) What was the observed rental revenue (in millions of dollars) when the theater revenue was 13.3 million dollars? (d) From the regression equation, what is the predicted rental revenue (in millons of dollars) when the theater revenue is 13.3 million dollars? (Round your answer to at least one decimal place.) (Sejop jo sueu u) d'anuana eua
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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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 an DVD and videctape and the revenue generated from the
theatrical release of such movies. The studio has the following bivariate data from a sample cof 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 DVD and videotape rentals (in millions of dollars) for esch of the movies. Also
shown are the scatter plot and the least-squares regression line for the data. The equation for this line is y - 3.62 +0.15x.
Theater
Rental
revenue, x
revenue, y
(in millions of (in millions of
dollars)
dollars)
25.9
9.2
60.4
16.3
31.2
5.7
62.4
9.9
26.5
12.1
43.6
6.5
21.2
5.5
37.1
12.5
48,7
16.1
13.3
11.3
7.5
2.2
14.8
2.1
Theater revenue, X
65.7
10.6
(in millions of dollars)
25.7
7.6
27.9
2.9
Send data to calculator
Send data to Excel
Based on the sample data and the regression line, complete the following.
(a) For these data, values for theater revenue that are less than the mean of the values for theater revenue tend to be paired
with values for rental revenue that are (Chcose ane)
the mean of the values for rental revenue.
greater than
less than
(b) According to the regression equation, for an increase of one million dollars in theater revenue, there is a corresponding
(Choose one) vof 0.15 million dollars in rental revenue.
c) What was the observed rental revenue (in millions of dollars) when the theater revenue was 13.3 million dollars?
(d) From the regression equation, what is the predicted rental revenue (in millions of dollars) when the theater revenue is
13.3 million dollars? (Round your answer to at least one dedimal place.)
(in millions of dollars)
'anuaaau guaM
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