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 ý = 81 + 4x. Years of Annual Sales Salesperson Experience ($1,000s) 80 97 3 102 4 4 102 103 6. 8 101 10 119 8 10 123 11 127 10 13 136 (a) Compute SST, SSR, and SSE. SST = SSR = SSE = (b) Compute the coefficient of determination r2. (Round your answer to three decimal places.) 12 = Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) O 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. 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 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 large 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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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 ý = 81 + 4x.
Years of
Annual Sales
Salesperson
Experience
($1,000s)
80
3
97
3
102
4
4
102
103
6.
8
101
10
119
8
10
123
9.
11
127
10
13
136
(a) Compute SST, SSR, and SSE.
SST =
SSR =
SSE =
(b) Compute the coefficient of determination r2. (Round your answer to three decimal places.)
r2 =
Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)
O 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.
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 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 large 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 ý = 81 + 4x. Years of Annual Sales Salesperson Experience ($1,000s) 80 3 97 3 102 4 4 102 103 6. 8 101 10 119 8 10 123 9. 11 127 10 13 136 (a) Compute SST, SSR, and SSE. SST = SSR = SSE = (b) Compute the coefficient of determination r2. (Round your answer to three decimal places.) r2 = Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) O 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. 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 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 large 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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