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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 1,801 and 1,758, 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 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 large 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 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 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 1,801 and 1,758, 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 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 large 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 estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...
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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 1,801 and 1,758, 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 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 large 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 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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