The following estimated regression equation based on 30 observations was presented. 9-17.6+ 3.8x, -2.3x₂ + 7.6x3 +2.7x4 The values of SST and SSR are 1,805 and 1,754, respectively. (a) Compute R². (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 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. 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 following estimated regression equation based on 30 observations was presented. 9-17.6+ 3.8x, -2.3x₂ + 7.6x3 +2.7x4 The values of SST and SSR are 1,805 and 1,754, respectively. (a) Compute R². (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 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. 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.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
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Transcribed Image Text: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 1,805 and 1,754, respectively.
(a) Compute R². (Round your answer to three decimal places.)
R²
(b) Compute R². (Round your answer to three decimal places.)
Ra
(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 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.
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.
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