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The following estimated regression equation based on 10 observations was presented. ý = 29.1270 + 0.5106Xq + 0.4980X2 The values of SST and SSR are 6,714.125 and 6,225.375, respectively. (a) Find SSE. SSE = (b) Compute R². (Round your answer to three decimal places.) R² = (c) Compute R₂². (Round your answer to three decimal places.) R₂2= = (d) Comment on the goodness of fit (For purposes of this exercise consider a proportion large it

The following estimated regression equation based on 10 observations was presented. ý = 29.1270 + 0.5106Xq + 0.4980X2 The values of SST and SSR are 6,714.125 and 6,225.375, respectively. (a) Find SSE. SSE = (b) Compute R². (Round your answer to three decimal places.) R² = (c) Compute R₂². (Round your answer to three decimal places.) R₂2= = (d) Comment on the goodness of fit (For purposes of this exercise consider a proportion large it

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.CR: Chapter 1 Review
Problem 86CR
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The following estimated regression equation based on 10 observations was presented. ŷ = 29.1270+ 0.5106x₁ +0.4980x₂ The values of SST and SSR are 6,714.125 and 6,225.375, respectively. (a) Find SSE. SSE = (b) Compute R². (Round your answer to three decimal places.) R² = (c) Compute R2. (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 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. 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 = 29.1270+ 0.5106x₁ +0.4980x₂ The values of SST and SSR are 6,714.125 and 6,225.375, respectively. (a) Find SSE. SSE = (b) Compute R². (Round your answer to three decimal places.) R² = (c) Compute R2. (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 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. 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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