The Web site RateMyProfessors.com13 reported a correlation of 0.62 between the quality rating of the professor (on a simple 1 to 5 scale with higher values representing higher quality) and the rating of how easy a grader the professor is. This correlation is based on ratings of nearly 7000 professors.
a. How would you interpret this correlation?
b. What would you expect this correlation to equal if the quality rating did not tend to depend on the easiness rating of the professor?