The following estimated regression equation based on 30 observations was presented. ŷ= 17.6+ 3.8x₁2.3x₂ + 7.6x3 + 2.7x4 The values of SST and SSR are 1,801 and 1,756, respectively. (a) Compute R². (Round your answer to three decimal places.) R² = (b) Compute R. (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 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 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 small proportion of the variability in y has been explained by the estimated regression equation.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The following estimated regression equation based on 30 observations was presented.
ŷ = 17.6 3.8x₁2.3x₂ + 7.6x3 + 2.7x4
The values of SST and SSR are 1,801 and 1,756, respectively.
(a) Compute R². (Round your answer to three decimal places.)
R² =
(b) Compute R2. (Round your answer to three decimal places.)
2 =
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 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 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 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 30 observations was presented. ŷ = 17.6 3.8x₁2.3x₂ + 7.6x3 + 2.7x4 The values of SST and SSR are 1,801 and 1,756, respectively. (a) Compute R². (Round your answer to three decimal places.) R² = (b) Compute R2. (Round your answer to three decimal places.) 2 = 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 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 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 small proportion of the variability in y has been explained by the estimated regression equation.
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