For each residual plot below, decide on whether the usual assumptions: "Y₁ = Bo + B₁¹; + €¡, i = 1, ..., n, €; independent N(0,02) 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. the normality assumption is invalid C. constant variance assumption is invalid D. assumptions seem reasonable DE. None of the above

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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For each residual plot below, decide on whether the usual assumptions:
"Y₁ = Bo + B₁2; + €, i = 1,..., n, ₁ independent N(0,0²) 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).
Parta)
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. the normality assumption is invalid
C. constant variance assumption is invalid
D. assumptions seem reasonable
E. None of the above
Transcribed Image Text:For each residual plot below, decide on whether the usual assumptions: "Y₁ = Bo + B₁2; + €, i = 1,..., n, ₁ independent N(0,0²) 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). Parta) 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. the normality assumption is invalid C. constant variance assumption is invalid D. assumptions seem reasonable E. None of the above
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