The following estimated regression equation based on 30 observations was presented 17 6 3 8 x 1 2 3 x 2 7 6 x 3 2 7 x 4 The values of SST and SSR are1,809and1,759, respectively (a) Compute R 2 (Round your answer to three decimal places ) R 2 (b) Compute R a 2 (Round your answer to three decimal places ) R a 2 (c) 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 did not provide a good fit as a small 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

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Posted on Oct 10, 2024

The following estimated regression equation based on 30 observations was presented.

= 17.6 + 3.8x₁2.3x₂+ 7.6x₃+ 2.7x₄

The values of SST and SSR are1,809and1,759, respectively.

(a)

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

R²=

(b)

ComputeR_a².

(Round your answer to three decimal places.)

R_a²=

(c)

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 did not provide a good fit as a small 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.