The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x, - 2.3x, + 7.6x3 + 2.7x4 The values of SST and SSR are 1,803 and 1,756, respectively. (a) Compute...


The following estimated regression equation based on 30 observations was presented.<br>ŷ = 17.6 + 3.8x, - 2.3x, + 7.6x3 + 2.7x4<br>The values of SST and SSR are 1,803 and 1,756, respectively.<br>(a) Compute R2. (Round your answer to three decimal places.)<br>R2 =<br>(b) Compute R. (Round your answer to three decimal places.)<br>R2 =<br>(c) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)<br>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.<br>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.<br>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.<br>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.<br>

Extracted text: The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x, - 2.3x, + 7.6x3 + 2.7x4 The values of SST and SSR are 1,803 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.) R2 = (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 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.

Jun 01, 2022
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