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 9 = 81 + 4x. Years of Annual Sales Salesperson Experience ($1,000s) 1 1 80 2 3 97 3 4 102 4 102 5 6 103 6 8 101 7 10 119 B 10 123 9 11 127 10 (a) Compute SST, SSR, and SSE. SST= SSR= 13 136 SSE= (b) Compute the coefficient of determination (Round your answer to three decimal places.) P = 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 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 provided a good fit as a large proportion of the variability in y has been explained by the least squares line. 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. (c) What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)

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Chapter8: Time Series Analysis And_forecasting
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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 9 = 81 + 4x.
Years of
Annual Sales
Salesperson
Experience
($1,000s)
1
1
80
2
3
97
3
4
102
4
102
5
6
103
6
8
101
7
10
119
B
10
123
9
11
127
10
(a) Compute SST, SSR, and SSE.
SST=
SSR=
13
136
SSE=
(b) Compute the coefficient of determination (Round your answer to three decimal places.)
P =
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 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 provided a good fit as a large proportion of the variability in y has been explained by the least squares line.
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.
(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 9 = 81 + 4x. Years of Annual Sales Salesperson Experience ($1,000s) 1 1 80 2 3 97 3 4 102 4 102 5 6 103 6 8 101 7 10 119 B 10 123 9 11 127 10 (a) Compute SST, SSR, and SSE. SST= SSR= 13 136 SSE= (b) Compute the coefficient of determination (Round your answer to three decimal places.) P = 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 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 provided a good fit as a large proportion of the variability in y has been explained by the least squares line. 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. (c) What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)
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