Students in a management science class have just received their grades on first test. The instructor has provided information regarding the first test grades in some previous classes and the final average for same students. Some of these grades have been sampled and are as follows:
| STUDENT |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
| 1st test grade |
98 |
77 |
88 |
80 |
96 |
61 |
66 |
95 |
69 |
| Final average |
93 |
78 |
84 |
73 |
84 |
64 |
64 |
95 |
76 |
a) Make a regression model which could be employed to predict the final average in the course based upon the first test grade
b) Predict the final average of student who made an 83 on the first test.
c) Provide the values of r and r2 for this model. Interpret the value of r2 in the context of this problem.