The following estimated regression equation based on 10 observations was presented. ŷ= 29.1230+ 0.5806x + 0.4380x2 The values of SST and SSR are 6,725.125 and 6,223.375, respectively. (a) Find SSE. SSE= (b) Compute R2. (Round your answer to three decimal places.) R² = (c) Compute R. (Round your answer to three decimal places.) R2= (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 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 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 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. Tab Esc Show My Work (Optional) Type here to search 1 40+ @ #f $ % & 3 4 5 6 7 8 O W E R T A S D F G H J K psLk N x C B N M Fn Alt 72°F 8:50 4/12/ Alt Ctri

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
Question
The following estimated regression equation based on 10 observations was presented.
ŷ= 29.1230+ 0.5806x + 0.4380x2
The values of SST and SSR are 6,725.125 and 6,223.375, respectively.
(a) Find SSE.
SSE=
(b) Compute R2. (Round your answer to three decimal places.)
R²
=
(c) Compute R. (Round your answer to three decimal places.)
R2=
(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 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 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 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.
Tab
Esc
Show My Work (Optional)
Type here to search
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Ctri
Transcribed Image Text:The following estimated regression equation based on 10 observations was presented. ŷ= 29.1230+ 0.5806x + 0.4380x2 The values of SST and SSR are 6,725.125 and 6,223.375, respectively. (a) Find SSE. SSE= (b) Compute R2. (Round your answer to three decimal places.) R² = (c) Compute R. (Round your answer to three decimal places.) R2= (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 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 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 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. Tab Esc Show My Work (Optional) Type here to search 1 40+ @ #f $ % & 3 4 5 6 7 8 O W E R T A S D F G H J K psLk N x C B N M Fn Alt 72°F 8:50 4/12/ Alt Ctri
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