Students in a management science class have just receivedtheir grades on the first test.

Students in a management science class have just receivedtheir grades on the first test. The instructorhas provided information about the first test gradesin some previous classes as well as the final averagefor the same students. Some of these grades havebeen 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) Develop a regression model that could be used topredict the final average in the course based onthe first test grade.

(b) Predict the final average of a student who madean 83 on the first test.

(c) Give the values of r and for this model. Interpretthe value of in the context of this problem.