The following estimated regression equation based on 10 observations was presented.
hat(y)=29.1250+0.5206x_(1)+0.4180x_(2)
The values of SST and SSR are 6,721.125 and 6,215.375, respectively.
(a) Find SSE.
SSE =
(b) Compute R^(2). (Round your answer to three decimal places.)
R^(2)=
(c) Compute R_(a)^(2). (Round your answer to three decimal places.)
R_(a)^(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 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 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.