A sales manager collected the following data on x = years of experience and y = annual sales ($1,000s). The estimated regression equation for these data is ŷ = 80 + 4x. Years of Experience Annual Sales ($1,000s) Salesperson 1 2 3 4 5 6 7 8 9 10 (a) Compute SST, SSR, and SSE. SST = SSR = SSE = 1 3 4 4 6 8 10 10 11 13 80 97 97 | 102 103 101 119 118 127 136 (b) Compute the coefficient of determination. (Round your answer to three decimal places.) 2 = Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line. The least squares line did not provide a good fit as a large proportion of the variability in y has been explained by the least squares line. The least squares line provided a good fit as a small proportion of the variability in y has been explained by the least squares line. The least squares line did not provide a good fit as a small proportion of the variability in y has been explained by the least squares line. (c) What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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A sales manager collected the following data on x = years of experience and y = annual sales ($1,000s). The estimated regression equation for these data is ŷ = 80 + 4x.
Years of
Experience
Annual Sales
($1,000s)
Salesperson
1
2
3
4
5
6
7
8
9
10
(a) Compute SST, SSR, and SSE.
SST =
SSR =
SSE =
1
3
4
4
6
8
10
10
11
13
80
97
97
102
103
101
119
118
127
136
(b) Compute the coefficient of determination. (Round your answer to three decimal places.)
2=
Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)
The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line.
The least squares line did not provide a good fit as a large proportion of the variability in y has been explained by the least squares line.
The least squares line provided a good fit as a small proportion of the variability in y has been explained by the least squares line.
The least squares line did not provide a good fit as a small proportion of the variability in y has been explained by the least squares line.
(c) What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)
Transcribed Image Text:A sales manager collected the following data on x = years of experience and y = annual sales ($1,000s). The estimated regression equation for these data is ŷ = 80 + 4x. Years of Experience Annual Sales ($1,000s) Salesperson 1 2 3 4 5 6 7 8 9 10 (a) Compute SST, SSR, and SSE. SST = SSR = SSE = 1 3 4 4 6 8 10 10 11 13 80 97 97 102 103 101 119 118 127 136 (b) Compute the coefficient of determination. (Round your answer to three decimal places.) 2= Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line. The least squares line did not provide a good fit as a large proportion of the variability in y has been explained by the least squares line. The least squares line provided a good fit as a small proportion of the variability in y has been explained by the least squares line. The least squares line did not provide a good fit as a small proportion of the variability in y has been explained by the least squares line. (c) What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)
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