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A sales manager collected the following data on x = years of experienceand y = annualsales ($1,000s). The estimated regression equation for these data is

A sales manager collected the following data onx= years of experienceandy= annualsales ($1,000s). The estimated regression equation for these data is

=81+ 4x.

Salesperson Years of Experience Annual Sales ($1,000s)
1 1 80
2 3 97
3 4 92
4 4 107
5 6 103
6 8 111
7 10 119
8 10 128
9 11 117
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.)

The least squares line did not provide a good fit as a small proportion of the variability inyhas been explained by the least squares line.The least squares line did not provide a good fit as a large proportion of the variability inyhas been explained by the least squares line. The least squares line provided a good fit as a small proportion of the variability inyhas been explained by the least squares line.The least squares line provided a good fit as a large proportion of the variability inyhas 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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