The following estimated regression equation based on 10 observations was presented. ý = 29.1260 + 0.5106x, + 0.4680x2 The values of SST and SSR are 6,715.125 and 6,229.375, respectively. (a) Find SSE. SSE = (b) Compute R2. (Round your answer to three decimal places.) R2 = (c) Compute R_2. (Round your answer to three decimal places.) (d) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) O The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. O The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation. O The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. O The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
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The following estimated regression equation based on 10 observations was presented.
ŷ = 29.1260 + 0.5106x, + 0.4680x2
The values of SST and SSR are 6,715.125 and 6,229.375, respectively.
(a) Find SSE.
SSE =
(b) Compute R?. (Round your answer to three decimal places.)
R2 =
(c) Compute R_2. (Round your answer to three decimal places.)
(d) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)
O The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
O The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
O The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
O The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
Transcribed Image Text:The following estimated regression equation based on 10 observations was presented. ŷ = 29.1260 + 0.5106x, + 0.4680x2 The values of SST and SSR are 6,715.125 and 6,229.375, respectively. (a) Find SSE. SSE = (b) Compute R?. (Round your answer to three decimal places.) R2 = (c) Compute R_2. (Round your answer to three decimal places.) (d) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) O The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. O The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation. O The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. O The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
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