Consider the data. 12 6 20 X; 14 55 35 60 10 25 The estimated regression equation for these data is ŷ = 70 - 3x. (a) Compute SSE, SST, and SSR using equations SSE = E(y; - ŷ)?, sST = E(y; - y)?, and SSR = E(ŷ; - y)?. SSE = 110 SST = SSR = 170 (b) Compute the coefficient of determination 2. (Round your answer to three decimal places.) 2 = 930 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 in y has been explained by the least squares line. O 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) Compute the sample correlation coefficient. (Round your answer to three decimal places.) .965 3.

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Consider the data.
3.
12
14
55
35
60
10
25
The estimated regression equation for these data is ŷ = 70 – 3x.
(a)
Compute SSE, SST, and SSR using equations SSE =
E(y; - ŷ;)?, sST = E(y; - y)?, and SSR =
SSE =
110
SST =
SSR =
170
(b) Compute the coefficient of determination r. (Round your answer to three decimal places.)
= .930
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 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)
Compute the sample correlation coefficient. (Round your answer to three decimal places.)
.965
20
Transcribed Image Text:Consider the data. 3. 12 14 55 35 60 10 25 The estimated regression equation for these data is ŷ = 70 – 3x. (a) Compute SSE, SST, and SSR using equations SSE = E(y; - ŷ;)?, sST = E(y; - y)?, and SSR = SSE = 110 SST = SSR = 170 (b) Compute the coefficient of determination r. (Round your answer to three decimal places.) = .930 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 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) Compute the sample correlation coefficient. (Round your answer to three decimal places.) .965 20
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