A magazine surveyed​ graduates, asking about their point of view of the colleges they had attended. One good predictor of early career earnings​ ($/year) turned out to be the average SAT score of entering students. Here are the regression model and associated plots. Discuss the assumptions and conditions necessary for proceeding with the regression analysis. Do you think the conditions are​ satisfied?   What conditions and assumptions must be​ satisfied? Select all that apply.     A. Extrapolation Assumption   B. Uniform Mean Assumption   C. Independence Assumption   D. Normal Population Assumption   E. Linearity Assumption   F. Reasonable Outliers Assumption   G. Equal Variance Assumption

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 9E
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A magazine surveyed​ graduates, asking about their point of view of the colleges they had attended. One good predictor of early career earnings​ ($/year) turned out to be the average SAT score of entering students. Here are the regression model and associated plots. Discuss the assumptions and conditions necessary for proceeding with the regression analysis. Do you think the conditions are​ satisfied?
 
What conditions and assumptions must be​ satisfied? Select all that apply.
 
 
A.
Extrapolation Assumption
 
B.
Uniform Mean Assumption
 
C.
Independence Assumption
 
D.
Normal Population Assumption
 
E.
Linearity Assumption
 
F.
Reasonable Outliers Assumption
 
G.
Equal Variance Assumption

 

Response variable is: Earn
R squared = 30.7%
s = 5646 with 706 - 2= 704 degrees of freedom
Variable
Intercept
SAT
Residuals
Number of Colleges
20000-
10000-
-10000-
120+
-20000+
35000 40000 45000 50000 55000 60000
100+
80-
60+
0-
40-
20-
Coefficient SE(Coeff) t-ratio
P-value
14124.9
1782
7.93
<0.0001
27.7449
1.536
18.06 <0.0001
0+
-20000
-10000
Predicted
0
Residuals
10000
20000
Transcribed Image Text:Response variable is: Earn R squared = 30.7% s = 5646 with 706 - 2= 704 degrees of freedom Variable Intercept SAT Residuals Number of Colleges 20000- 10000- -10000- 120+ -20000+ 35000 40000 45000 50000 55000 60000 100+ 80- 60+ 0- 40- 20- Coefficient SE(Coeff) t-ratio P-value 14124.9 1782 7.93 <0.0001 27.7449 1.536 18.06 <0.0001 0+ -20000 -10000 Predicted 0 Residuals 10000 20000
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