The following estimated regression equation based on 30 observations was presented.ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4The values of SST and SSR are 1,807 and 1,757, respectively.(a)Compute R2. (Round your answer to three decimal places.)R2 = (b)Compute Ra2. (Round your answer to three decimal places.)Ra2 = (c)Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)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.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. 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.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. 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 1,807 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.)R_2(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 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 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 did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.

(a) The values of SST and SSR are 1,807 and 1,757, respectively. The value of R2 is,…

Answered: The following estimated regression…

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

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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The following estimated regression equation based on 30 observations was presented.

ŷ = 17.6 + 3.8x₁ − 2.3x₂ + 7.6x₃ + 2.7x₄

The values of SST and SSR are 1,807 and 1,757, respectively.

(a)

Compute R². (Round your answer to three decimal places.)

R² =

(b)

Compute

R_a².

(Round your answer to three decimal places.)

R_a² =

(c)

Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)

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.

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.

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.

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.

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 1,807 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.)
R_2
(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 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 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 did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.

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