Question: 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:

1. Develop a regression model that could be used :
   predict the final average in the course based the first test grade.
2. Predict the final average of a student who made an 83 on the first test.
3. Give the values of \(r\) and \(r^{2}\) for this model. Interpret. the value of \(r^{2}\) in the context of this problem.

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