The following estimated regression equation based on 10 observations was presented. ý = 29.1270 + 0.5806×q + 0.4680X2 The values of SST and SSR are 6,728.125 and 6,228.375, 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.) R₂² = (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 small proportion of the variability in y has been explained by the estimated r O The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regressi 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 re O The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regressi

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The following estimated regression equation based on 10 observations was presented.
y = 29.1270+ 0.5806x₁ +0.4680x2
The values of SST and SSR are 6,728.125 and 6,228.375, respectively.
(a) Find SSE.
SSE =
(b) Compute R². (Round your answer to three decimal places.)
R²
=
(c) Compute R 2. (Round your answer to three decimal places.)
2
R₂²=
(d) 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 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 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 small 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. y = 29.1270+ 0.5806x₁ +0.4680x2 The values of SST and SSR are 6,728.125 and 6,228.375, respectively. (a) Find SSE. SSE = (b) Compute R². (Round your answer to three decimal places.) R² = (c) Compute R 2. (Round your answer to three decimal places.) 2 R₂²= (d) 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 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 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 small proportion of the variability in y has been explained by the estimated regression equation.
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