Question: An anatomy professor claims that scores on the first exam will provide a good indication of how students will perform during the course. Grades for 12 students are shown below (15 points).

a. Is the professor right that there is a strong correlation between grades on the first exam and the final grade for the anatomy course? And what is the percent of variability in final grade that is explained by knowing the grades on the first exam?

b. What is the regression equation to predict final grades from first exam? Show as much of your work as possible.

c. What is the expected final grade for someone scoring an 80 on the first exam? Show your work.