The following estimated regression equation based on 10 observations was presented 29 1230 0 5306 x 1 0 4380 x 2 The values of SST and SSR are6,712 125and6,222 375, 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

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Posted on Oct 10, 2024

The following estimated regression equation based on 10 observations was presented.

=29.1230+0.5306x₁+0.4380x₂

The values of SST and SSR are6,712.125and6,222.375, respectively.

(a)

Find SSE.

SSE =

(b)

ComputeR². (Round your answer to three decimal places.)

R²=

(c)

ComputeR_a².

(Round your answer to three decimal places.)

R_a²=

(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 inyhas been explained by the estimated regression equation.
The estimated regression equation provided a good fit as a large proportion of the variability inyhas been explained by the estimated regression equation.
The estimated regression equation provided a good fit as a small proportion of the variability inyhas been explained by the estimated regression equation.
The estimated regression equation did not provide a good fit as a small proportion of the variability inyhas been explained by the estimated regression equation.