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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 indes plet 00 Ptof Residal Residual Residuals a) To evaluate whether the assumption of linearity has been violated, which of the following graph should be examined? O A. Predicted Values vs. Residuals O B. Residual index plot OC. QQ plot of residuals OD. Residuals vs. Progrm Per-Year Tuition ($) b) To evaluate whether the assumption of normality has been violated, which of the following graph should be examined? O A. QQ plot of residuals O B. Predicted Values vs. Residuals Oc. Residual index plot O D. Residuals vs. Progrm Per-Year Tuition ($) c) To evaluate whether the assumption of equal variance has been violated, which of the following graph should be examined? O A. Residuals vs. Progrm Per-Year Tuition ($) O B. QQ plot of residuals OC. Residual index plot O D. Predicted Values vs. Residuals d) To evaluate whether the assumption of independence has been violated, which of the folowing graph should be examined? O A. QQ plot of residuals O B. Residual index plot OC. Predicted Values vs. Residuals O D. Residuals vs. Progrm Per-Year Tuition ($)

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 indes plet 00 Ptof Residal Residual Residuals a) To evaluate whether the assumption of linearity has been violated, which of the following graph should be examined? O A. Predicted Values vs. Residuals O B. Residual index plot OC. QQ plot of residuals OD. Residuals vs. Progrm Per-Year Tuition ($) b) To evaluate whether the assumption of normality has been violated, which of the following graph should be examined? O A. QQ plot of residuals O B. Predicted Values vs. Residuals Oc. Residual index plot O D. Residuals vs. Progrm Per-Year Tuition ($) c) To evaluate whether the assumption of equal variance has been violated, which of the following graph should be examined? O A. Residuals vs. Progrm Per-Year Tuition ($) O B. QQ plot of residuals OC. Residual index plot O D. Predicted Values vs. Residuals d) To evaluate whether the assumption of independence has been violated, which of the folowing graph should be examined? O A. QQ plot of residuals O B. Residual index plot OC. Predicted Values vs. Residuals O D. Residuals vs. Progrm Per-Year Tuition ($)

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 0. -20000 -20000 a) To evaluate whether the assumption of linearity has been violated, which of the following graph shou be examined? A. Predicted Values vs. Residuals B. Residual index plot C. QQ plot of residuals D. Residuals vs. Progrm Per-Year Tuition ($) b) To evaluate whether the assumption of normality has been violated, which of the following graph should be examined? A. QQ plot of residuals B. Predicted Values vs. Residuals C. Residual index plot D. Residuals vs. Progrm Per-Year Tuition ($) 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 ($) B. QQ plot of residuals C. Residual index plot D. Predicted Values vs. Residuals d) To evaluate whether the assumption of independence has been violated, which of the folowing graph should be examined? A. QQ plot of residuals B. Residual index plot C. Predicted Values vs. Residuals D. Residuals vs. Progrm Per-Year Tuition ($)
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 0. -20000 -20000 a) To evaluate whether the assumption of linearity has been violated, which of the following graph shou be examined? A. Predicted Values vs. Residuals B. Residual index plot C. QQ plot of residuals D. Residuals vs. Progrm Per-Year Tuition ($) b) To evaluate whether the assumption of normality has been violated, which of the following graph should be examined? A. QQ plot of residuals B. Predicted Values vs. Residuals C. Residual index plot D. Residuals vs. Progrm Per-Year Tuition ($) 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 ($) B. QQ plot of residuals C. Residual index plot D. Predicted Values vs. Residuals d) To evaluate whether the assumption of independence has been violated, which of the folowing graph should be examined? A. QQ plot of residuals B. Residual index plot C. Predicted Values vs. Residuals D. Residuals vs. Progrm Per-Year Tuition ($)
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