The following estimated regression equation based on 30 observations was presented.ý = 17.6 + 3.8x, - 2.3x, + 7.6x3 + 2.7x4The values of SST and SSR are 1,809 and 1,757, respectively.(a) Compute R. (Round your answer to three decimal places.)R2 =(b) Compute R_2. (Round your answer to three decimal places.)(c) 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 provided 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 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.

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The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x, - 2.3x2 + 7.6x3 + 2.7x4 The values of SST and SSR are 1,809 and 1,757, respectively.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

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Question

The following estimated regression equation based on 30 observations was presented.
ý = 17.6 + 3.8x, - 2.3x, + 7.6x3 + 2.7x4
The values of SST and SSR are 1,809 and 1,757, respectively.
(a) Compute R. (Round your answer to three decimal places.)
R2 =
(b) Compute R_2. (Round your answer to three decimal places.)
(c) 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 provided 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 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.

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