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
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)
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
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
