Students in a management science class have just received
their grades on the first test. The instructor
has provided information about the first test grades
in some previous classes as well as the final average
for the 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) Develop a regression model that could be used to
predict the final average in the course based on
the first test grade.
(b) Predict the final average of a student who made
an 83 on the first test.
(c) Give the values of r andr2 for this model. Interpret
the value ofr 2 in the context of this problem.