A dean is trying to evaluate the quality of instruction of t…

A deаn is trying tо evаluаte the quality оf instructiоn of the professors in her college. At the end of every semester students evaluate the professors on a scale of 1 to 10 with 10 being outstanding and 1 being horrible. Label this score yi. The dean gives an award to the 5 professors with the highest scores. A faculty member with some statistical training notes that grades tend to be higher in classes that are graded more easily. Let xi  be the class average GPA and the professor runs a regression of the form: Professors that give higher grades tend to have much higher teacher evaluations. The professor suggests that awards should be adjusted for how easily a professor grades. Without adding other variables to the model, explain how one could adjust teaching scores to reflect the fact that some teachers are easier graders than others in awarding the teaching prize.