The following estimated regression equation based on 10 observations was presented. 9 = 29.1240 + 0.5906x, + 0.4580x2 The values of SST and SSR are 6,721.125 and 6,215.375, respectively. (a) Find SSE. SSE = 505.75 (b) Compute R. (Round your answer to three decimal places.) R2 = %3D (c) Compute R 2. (Round your answer to three decimal places.) R,2=

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The following estimated regression equation based on 10 observations was presented.
9 = 29.1240 + 0.5906x, + 0.4580x,
The values of SST and SSR are 6,721.125 and 6,215.375, respectively.
(a) Find SSE.
SSE = 505.75
(b) Compute R. (Round your answer to three decimal places.)
R2 =
(c)
) Compute R2. (Round your answer to three decimal places.)
al
R,2 =
(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 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.
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.
Transcribed Image Text:The following estimated regression equation based on 10 observations was presented. 9 = 29.1240 + 0.5906x, + 0.4580x, The values of SST and SSR are 6,721.125 and 6,215.375, respectively. (a) Find SSE. SSE = 505.75 (b) Compute R. (Round your answer to three decimal places.) R2 = (c) ) Compute R2. (Round your answer to three decimal places.) al R,2 = (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 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. 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.
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