To evaluate whether the assumption of linearity has been​ violated, which of the following graph should be​ examined?   A. QQ plot of residuals

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 12PPS
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To evaluate whether the assumption of linearity has been​ violated, which of the following graph should be​ examined?
 
A.
QQ plot of residuals
 
B.
Predicted Values vs. Residuals
 
C.
Residuals vs. Progrm​ Per-Year Tuition​ ($)
 
D.
Residual index plot
​b) To evaluate whether the assumption of normality has been​ violated, which of the following graph should be​ examined?
 
A.
Predicted Values vs. Residuals
 
B.
Residuals vs. Progrm​ Per-Year Tuition​ ($)
 
C.
Residual index plot
 
D.
QQ plot of residuals
​c) To evaluate whether the assumption of equal variance has been​ violated, which of the following graph should be​ examined?
 
A.
Predicted Values vs. Residuals
 
B.
Residual index plot
 
C.
Residuals vs. Progrm​ Per-Year Tuition​ ($)
 
D.
QQ plot of residuals
​d) To evaluate whether the assumption of independence has been​ violated, which of the folowing graph should be​ examined?
 
A.
Residual index plot
 
B.
QQ plot of residuals
 
C.
Predicted Values vs. Residuals
 
D.
Residuals vs. Progrm​ Per-Year Tuition​ ($)
​e) Which of the assumptions of​ regression, if​ any, have been seriously​ violated? Select all that apply.
 
 
A.
The assumption of normality has been violated because the normal probability plot does not appear to be a straight line.
 
B.
The assumption of independence has been violated because errors from later time periods appear to be related to those from earlier time periods.
 
C.
The assumption of linearity has been violated because the data are clearly curvilinear.
 
D.
The assumption of equal variance has been violated because the variability of the residuals changes as the program​ per-year tuition increases.
 
E.
The assumptions of​ linearity, independence,​ normality, and equal variance do not appear to have been seriously violated.
 
 
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