The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x, - 2.3x2 + 7.6x3 + 2.7x4 The values of SST and SSR are 1,809 and 1,757, respectively.
The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x, - 2.3x2 + 7.6x3 + 2.7x4 The values of SST and SSR are 1,809 and 1,757, respectively.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![The following estimated regression equation based on 30 observations was presented.
\[
\hat{y} = 17.6 + 3.8x_1 - 2.3x_2 + 7.6x_3 + 2.7x_4
\]
The values of SST and SSR are 1,809 and 1,757, respectively.
(a) Compute \( R^2 \). (Round your answer to three decimal places.)
\( R^2 = \) [ ]
(b) Compute \( R_a^2 \). (Round your answer to three decimal places.)
\( R_a^2 = \) [ ]
(c) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)
- \( \circ \) 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.
- \( \circ \) 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.
- \( \circ \) 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.
- \( \circ \) 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F358923dd-976b-4983-a367-bafd3b4b55c1%2F13ceb9ba-b38e-4d21-917b-6a9601982024%2Fc9fs6h_processed.png&w=3840&q=75)
Transcribed Image Text:The following estimated regression equation based on 30 observations was presented.
\[
\hat{y} = 17.6 + 3.8x_1 - 2.3x_2 + 7.6x_3 + 2.7x_4
\]
The values of SST and SSR are 1,809 and 1,757, respectively.
(a) Compute \( R^2 \). (Round your answer to three decimal places.)
\( R^2 = \) [ ]
(b) Compute \( R_a^2 \). (Round your answer to three decimal places.)
\( R_a^2 = \) [ ]
(c) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)
- \( \circ \) 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.
- \( \circ \) 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.
- \( \circ \) 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.
- \( \circ \) 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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