Answered: Which is/are the best answer(s) for the…

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

For each residual plot below, decide on whether the usual assumptions:
"Yi=B0+B1xi+ei,i=1,…,n,e1 independent N(0,sigma^2) random variables" of simple linear regression are valid or not.
If some assumptions seem invalid, choose the options(s) which indicate the most obvious departures from the model assumptions. Note : For a small sample, the normality assumption cannot be "proved", but it can be "violated" if there is an extreme residual (outlier).
Part a)

y-axis has residual, x-axis has x-variable with values 1,2,...,10. (Click on graph to enlarge)

Which is/are the best answer(s) for the residual plot (a)?

A. linear relation assumption is invalid
B. constant variance assumption is invalid
C. assumptions seem reasonable
D. the normality assumption is invalid
E. None of the above

Part b)

y-axis has residual, x-axis has x-variable with values 1,2,...,10. (Click on graph to enlarge)

Which is/are the best answer(s) for the residual plot (b)?

A. constant variance assumption is invalid
B. the normality assumption is invalid
C. the residuals show a pattern
D. linear relation assumption is invalid
E. assumptions seem reasonable
F. None of the above

Part c)

y-axis has residual, x-axis has x-variable with values 1,2,...,10. (Click on graph to enlarge)

Which is/are the best answer(s) for the residual plot (c)?

A. linear relation assumption is invalid
B. the residuals show a pattern
C. the normality assumption is invalid
D. assumptions seem reasonable
E. constant variance assumption is invalid
F. None of the above