1. A financier whose specialty is investing in rock concerts has observed that, in general, concerts with "big- name" stars seem to generate more revenue than those concerts whose stars are less well known. To examine his belief, he records the gross revenue and the payment (in $ millions) given to the two highest- paid performers in the concert for ten concert tours. Concert 1 2 3 4 6 7 8 9 10 Cost of Two Highest Paid Performers (Smil) 5.3 7.2 1.3 1.8 3.5 2.6 8.0 2.4 4.5 6.7 Gross Revenue ($mil) 48 65 18 20 31 26 73 23 39 58 (1) Determine the standard error of estimate and describe what this statistic tells you about the regression line. (2) Determine the coefficient of determination and discuss what its value tells you about the two variables. (3) Calculate the Pearson correlation coefficient. Interpret the results.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Chapter 13
1. A financier whose specialty is investing in rock concerts has observed that, in general, concerts with "big-
name" stars seem to generate more revenue than those concerts whose stars are less well known. To
examine his belief, he records the gross revenue and the payment (in $ millions) given to the two highest-
paid performers in the concert for ten concert tours.
Concert
1
·234 567
7
8
9
10
Cost of Two Highest Paid
Performers ($mil)
5.3
7.2
1.3
1.8
3.5
2.6
8.0
2.4
4.5
6.7
Gross Revenue
($mil)
48
65
18
20
31
26
73
23
39
58
(1) Determine the standard error of estimate and describe what this statistic tells you about the regression
line.
(2) Determine the coefficient of determination and discuss what its value tells you about the two variables.
(3) Calculate the Pearson correlation coefficient. Interpret the results.
(4) Conduct a test of the population coefficient of correlation to determine at the 5% significance level
whether a positive linear relationship exists between payment to the two highest-paid performers and
gross revenue.
(5) Conduct a test of the population slope to determine at the 5% significance level whether a positive
linear relationship exists between payment to the two highest-paid performers and gross revenue.
(6) Do the p and ₁ tests in the previous questions provide the same results? Explain.
Transcribed Image Text:Chapter 13 1. A financier whose specialty is investing in rock concerts has observed that, in general, concerts with "big- name" stars seem to generate more revenue than those concerts whose stars are less well known. To examine his belief, he records the gross revenue and the payment (in $ millions) given to the two highest- paid performers in the concert for ten concert tours. Concert 1 ·234 567 7 8 9 10 Cost of Two Highest Paid Performers ($mil) 5.3 7.2 1.3 1.8 3.5 2.6 8.0 2.4 4.5 6.7 Gross Revenue ($mil) 48 65 18 20 31 26 73 23 39 58 (1) Determine the standard error of estimate and describe what this statistic tells you about the regression line. (2) Determine the coefficient of determination and discuss what its value tells you about the two variables. (3) Calculate the Pearson correlation coefficient. Interpret the results. (4) Conduct a test of the population coefficient of correlation to determine at the 5% significance level whether a positive linear relationship exists between payment to the two highest-paid performers and gross revenue. (5) Conduct a test of the population slope to determine at the 5% significance level whether a positive linear relationship exists between payment to the two highest-paid performers and gross revenue. (6) Do the p and ₁ tests in the previous questions provide the same results? Explain.
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