ental revenue, (in millions of dollars) 7.5 3.2 1.8 8.3 4.8 10.8 16.4 16.6 12.0 9.5 12.1 7.5 5.7 1.1 10.9 xy 199.75 22.72 49.14 211.65 101.28 665.28 964 820.04 319.2 625.1 445.28 334.5 176.13 16.83 141.7 Send data to Excel Figure 1

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A movie studio wishes to determine the relationship between the revenue from rental of DVDs and videotapes of comedies 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 DVD and videotape rentals (in millions of dollars) for each of the fifteen
movies. The data are displayed in the Figure 1 scatter plot. Also given are the products of the values for theater revenue and values for rental revenue for each
of the fifteen movies. (These products, written in the column labelled "xy," may aid in calculations.)
Theater revenue.
(in millions of
dollars)
Rental revenue, y
(in millions of
dollars)
25.3
7.1
27.3
25.5
21.1
61.6
60.0
49.4
26.6
65,8
36.8
44,6
30.9
15.3
13.0
Send data to calculator V
7.5
3.2
1.8
8.3
4.8
10.8
16.4
16.6
12.0
9.5
12.1
7.5
5.7
1.1
10.9
189.75
22.72
49.14
211.65
101.28
655.28
984
820.04
319.2
625.1
445.28
334.5
176.13
16.83
141.7
Send data to Excel
344
Figure 1
圆8民口
Transcribed Image Text:A movie studio wishes to determine the relationship between the revenue from rental of DVDs and videotapes of comedies 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 DVD and videotape rentals (in millions of dollars) for each of the fifteen movies. The data are displayed in the Figure 1 scatter plot. Also given are the products of the values for theater revenue and values for rental revenue for each of the fifteen movies. (These products, written in the column labelled "xy," may aid in calculations.) Theater revenue. (in millions of dollars) Rental revenue, y (in millions of dollars) 25.3 7.1 27.3 25.5 21.1 61.6 60.0 49.4 26.6 65,8 36.8 44,6 30.9 15.3 13.0 Send data to calculator V 7.5 3.2 1.8 8.3 4.8 10.8 16.4 16.6 12.0 9.5 12.1 7.5 5.7 1.1 10.9 189.75 22.72 49.14 211.65 101.28 655.28 984 820.04 319.2 625.1 445.28 334.5 176.13 16.83 141.7 Send data to Excel 344 Figure 1 圆8民口
Theater revenue,
(in millions of
dollars)
25.3
7.1
27.3
25.5
21.1
61.6
60.0
49.4
26.6
65.8
36.8
44.6
30.9
Rental revenue, y
(in millions of
dollars)
7.5
3.2
1.8
189.75
22.72
49.14
211.65
101.28
665.28
984
820.04
319.2
625.1
445.28
334.5
176.13
16.83
141.7
Send data to Excel
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below.
0
15.3
13.0
Send data to calculator.
8.3
4.8
10.8
16.4
16.6
12.0
9.5
12.1
7.5
5.7
1.1
10.9
xy
What is the value of the sample correlation coefficient
for these data? Round your answer to at least three
decimal places.
3
X
164
H+
124
10+
Figure 1
Transcribed Image Text:Theater revenue, (in millions of dollars) 25.3 7.1 27.3 25.5 21.1 61.6 60.0 49.4 26.6 65.8 36.8 44.6 30.9 Rental revenue, y (in millions of dollars) 7.5 3.2 1.8 189.75 22.72 49.14 211.65 101.28 665.28 984 820.04 319.2 625.1 445.28 334.5 176.13 16.83 141.7 Send data to Excel Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. 0 15.3 13.0 Send data to calculator. 8.3 4.8 10.8 16.4 16.6 12.0 9.5 12.1 7.5 5.7 1.1 10.9 xy What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places. 3 X 164 H+ 124 10+ Figure 1
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