The following estimated regression equation based on 10 observations was presented. ŷ = 29.1290 + 0.5606x1 + 0.4880x2 Th
Posted: Tue Jul 05, 2022 9:56 am
The following estimated regression equation based on 10observations was presented.
ŷ = 29.1290 + 0.5606x1 + 0.4880x2
The values of SST and SSRare 6,713.125 and 6,224.375, respectively.
(a)
Find SSE.
SSE =
(b)
Compute R2. (Round your answer to threedecimal places.)
R2 =
(c)
Compute
Ra2.
(Round your answer to three decimal places.)
Ra2 =
(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 largeproportion of the variability in y has beenexplained by the estimated regression equation.The estimatedregression equation did not provide a good fit as a smallproportion of the variability in y has beenexplained by the estimated regressionequation. The estimated regression equationprovided a good fit as a small proportion of the variabilityin y has been explained by the estimatedregression equation.The estimated regression equation did notprovide a good fit as a large proportion of the variabilityin y has been explained by the estimatedregression equation.
ŷ = 29.1290 + 0.5606x1 + 0.4880x2
The values of SST and SSRare 6,713.125 and 6,224.375, respectively.
(a)
Find SSE.
SSE =
(b)
Compute R2. (Round your answer to threedecimal places.)
R2 =
(c)
Compute
Ra2.
(Round your answer to three decimal places.)
Ra2 =
(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 largeproportion of the variability in y has beenexplained by the estimated regression equation.The estimatedregression equation did not provide a good fit as a smallproportion of the variability in y has beenexplained by the estimated regressionequation. The estimated regression equationprovided a good fit as a small proportion of the variabilityin y has been explained by the estimatedregression equation.The estimated regression equation did notprovide a good fit as a large proportion of the variabilityin y has been explained by the estimatedregression equation.