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

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

ŷ = 29.1260 + 0.5306x₁ + 0.4680x₂

The values of SST and SSR are 6,728.125 and 6,215.375, respectively.

(a)

Find SSE.

SSE =

(b)

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

R² =

(c)

Compute

R_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 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. 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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