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 universitie 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 Pf Rei Residuals Indes Nmal Qule Residual . Program PerYear Tu Residuale Prudited Values . Reiduals Predicted Vales 140000 120000 100000 -20000 Program P Ye Tuition S) a) To evaluate whether the assumption of linearity has been violated, which of the following graph should be examined? O A. Residual index plot O B. Residuals vs. Progrm Per-Year Tuition ($) OC. QQ plot of residuals OD. Predicted Values vs. Residuals b) To evaluate whether the assumption of normality has been violated, which of the following graph should be examined? O A. Residual index plot OB. Predicted Values vs. Residuals Oc. QQ plot of residuals OD. Residuals vs. Progrm Per-Year Tuition ($)

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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
Index
Normal Quantile
Residuals vs. Program Per-Year Tuition ($)
Residuals
Predicted Values vs. Residuals
Predicted Values
20000
140000-
120000-
100000
80000-
-20000
60000
-40000
40000-
30000
50000
4000
Program Per-Year Tuition ($)
20000
60000
70000
-20000
20000
Residuals
.....
a) To evaluate whether the assumption of linearity has been violated, which of the following graph should be examined?
A. Residual index plot
B. Residuals vs. Progrm Per-Year Tuition ($)
C. QQ plot of residuals
D. Predicted Values vs. Residuals
b) To evaluate whether the assumption of normality has been violated, which of the following graph should be examined?
A. Residual index plot
B. Predicted Values vs. Residuals
C. QQ plot of residuals
D. Residuals vs. Progrm Per-Year Tuition ($)
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 -20000 -20000 -40000 40000 TO 20 Index Normal Quantile Residuals vs. Program Per-Year Tuition ($) Residuals Predicted Values vs. Residuals Predicted Values 20000 140000- 120000- 100000 80000- -20000 60000 -40000 40000- 30000 50000 4000 Program Per-Year Tuition ($) 20000 60000 70000 -20000 20000 Residuals ..... a) To evaluate whether the assumption of linearity has been violated, which of the following graph should be examined? A. Residual index plot B. Residuals vs. Progrm Per-Year Tuition ($) C. QQ plot of residuals D. Predicted Values vs. Residuals b) To evaluate whether the assumption of normality has been violated, which of the following graph should be examined? A. Residual index plot B. Predicted Values vs. Residuals C. QQ plot of residuals D. Residuals vs. Progrm Per-Year Tuition ($)
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