In: Statistics and Probability
The following data were collected last semester on ten ERM 681 students. Complete a multiple regression analysis in which you use AGE (A), MATH PROFICIENCY (MP) (on a 1 –10 scale), and GENDER (G) (0 = male, 1 = female) as predictors of FINAL EXAM (FE) performance. Do this analysis in SPSS and then answer the following questions.
Subject # |
A |
MP |
G |
FE |
1 |
35 |
8 |
1 |
90 |
2 |
31 |
6 |
0 |
88 |
3 |
26 |
5 |
1 |
84 |
4 |
33 |
7 |
0 |
91 |
5 |
28 |
3 |
1 |
78 |
6 |
32 |
5 |
1 |
92 |
7 |
29 |
7 |
0 |
92 |
8 |
39 |
6 |
1 |
87 |
9 |
37 |
6 |
0 |
92 |
10 |
38 |
7 |
0 |
89 |
a. State the assumptions of multiple linear regression.
b.Check the assumption of equal variance using the appropriate scatter plot.
c.Run regression using all three predictors and report the regression equation
d. Report and interpret the value of R2
e. Interpret the unstandardized regression coefficient for the predictor AGE.
f. Interpret the standardized regression coefficient for the predictor AGE.
g. Interpret the unstandardized regression coefficient for the predictor GENDER. Be careful with the interpretation
h. Determine the predicted value and residual for the third subject.
i. Explain why you should not use the regression equation to predict the Final Exam score of a student who has a Math Proficiency score of 10