Stanley Student is an MPA candidate at Big State University (BSU). Stanley is concerned about his performance in BSU’s quantitative methods class. The class has consisted of five quizzes and one midterm exam. Stanley is thinking of filing a civil rights suit against his professor because he did really well on the quizzes (a total of 45 points) but not as well on the midterm (75 points). He is thinking of using a unique application of the administrative law doctrine of collateral estoppel in his suit. Before fi ling suit, he needs to know whether there is a relationship between quiz grades and midterm grades. After stealing the instructor’s grade book, Stanley runs the following regression, where Y is midterm grade and X is total points on the quizzes:

Interpret this regression by explaining the meaning of the slope, intercept, and r² , and test the slope for significance. Present, in plain English, a hypothesis concerning the relationship, and then present a null hypothesis. What is your best estimate of the midterm grade that Stanley should have received given his quiz grade? Estimate the probability that Stanley would receive a 75 on the midterm given a quiz grade of 45.

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Ŷ S... yx 2² = .71 $b $b = .0049 52.5.78X 8.46 X = 40 n = 40 sx = 5