Answered: The following estimated regression…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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

ŷ = 17.6 + 3.8x₁ − 2.3x₂ + 7.6x₃ + 2.7x₄

The values of SST and SSR are 1,801 and 1,758, respectively.

(a)Compute R². (Round your answer to three decimal places.)

R² =

(b)Compute R_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 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 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.

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