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c) To evaluate whether the assumption of equal variance has been violated, which of the following graph should be examined? A. Residuals vs. Progrm Per-Year Tuition ($) B. QQ plot of residuals C. Residual index plot D. Predicted Values vs. Residuals d) To evaluate whether the assumption of independence has been violated, which of the folowing graph should be examined? A. Predicted Values vs. Residuals O B. Residuals vs. Progrm Per-Year Tuition (S) 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. Residuals vs. Progrm Per-Year Tuition ($) B. QQ plot of residuals C. Residual index plot D. Predicted Values vs. Residuals d) To evaluate whether the assumption of independence has been violated, which of the folowing graph should be examined? A. Predicted Values vs. Residuals O B. Residuals vs. Progrm Per-Year Tuition (S) C. Residual index plot D. QQ plot of residuals

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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A prospective MBA student would like to examine the factors that impact starting salary upon graduation and decides to develop a model that uses program per-year tuition as a predictor of starting salary. Data were collected for 37 full-time MBA programs offered at private universities. The least squares equation was found Y; = -13258.594 + 2.422X,, where X, is the program per-year tuition and Y; is the predicted mean starting salary. To perform a residual analysis for these data, the following results are obtained. of regression have been seriously violated. Residual index plot QQ Plot of Residuals Residuals Residuals 20000 20000 -20000- -20000 40000 -40000 TO 20 30 Index Normal Quantile Residuals vs. Program Per-Year Tuition ($) Predicted Values vs. Residuals Residuals Predicted 20000 140000 120000- 100000- 80000 -20000- 60000 -40000 40000 20000 40000 SO000 70000 20000 20000 30000 Program Per-Year Tuition ($) 60000 40000 Residuals c) To evaluate whether the assumption of equal variance has been violated, which of the following graph should be examined? A. Residuals vs. Progrm Per-Year Tuition ($) B. QQ plot of residuals C. Residual index plot D. Predicted Values vs. Residuals d) To evaluate whether the assumption of independence has been violated, which of the folowing graph should be examined? A. Predicted Values vs. Residuals B. Residuals vs. Progrm Per-Year Tuition ($) C. Residual index plot D. QQ plot of residuals
Transcribed Image Text:A prospective MBA student would like to examine the factors that impact starting salary upon graduation and decides to develop a model that uses program per-year tuition as a predictor of starting salary. Data were collected for 37 full-time MBA programs offered at private universities. The least squares equation was found Y; = -13258.594 + 2.422X,, where X, is the program per-year tuition and Y; is the predicted mean starting salary. To perform a residual analysis for these data, the following results are obtained. of regression have been seriously violated. Residual index plot QQ Plot of Residuals Residuals Residuals 20000 20000 -20000- -20000 40000 -40000 TO 20 30 Index Normal Quantile Residuals vs. Program Per-Year Tuition ($) Predicted Values vs. Residuals Residuals Predicted 20000 140000 120000- 100000- 80000 -20000- 60000 -40000 40000 20000 40000 SO000 70000 20000 20000 30000 Program Per-Year Tuition ($) 60000 40000 Residuals c) To evaluate whether the assumption of equal variance has been violated, which of the following graph should be examined? A. Residuals vs. Progrm Per-Year Tuition ($) B. QQ plot of residuals C. Residual index plot D. Predicted Values vs. Residuals d) To evaluate whether the assumption of independence has been violated, which of the folowing graph should be examined? A. Predicted Values vs. Residuals B. Residuals vs. Progrm Per-Year Tuition ($) C. Residual index plot D. QQ plot of residuals
e) Which of the assumptions of regression, if any, have been seriously violated? Select all that apply. A. The assumption of equal variance has been violated because the variability of the residuals changes as the program per-year tuition increases. B. The assumption of linearity has been violated because the data are clearly curvilinear. C. The assumption of normality has been violated because the normal probability plot does not appear to be a straight line. D. The assumption of independence has been violated because errors from later time periods appear to be related to those from earlier time periods. E. The assumptions of linearity, independence, normality, and equal variance do not appear to have been seriously violated. O O O D O
Transcribed Image Text:e) Which of the assumptions of regression, if any, have been seriously violated? Select all that apply. A. The assumption of equal variance has been violated because the variability of the residuals changes as the program per-year tuition increases. B. The assumption of linearity has been violated because the data are clearly curvilinear. C. The assumption of normality has been violated because the normal probability plot does not appear to be a straight line. D. The assumption of independence has been violated because errors from later time periods appear to be related to those from earlier time periods. E. The assumptions of linearity, independence, normality, and equal variance do not appear to have been seriously violated. O O O D O
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