Will I bomb the final? We expect that students who do well on the midtermexam in a

Chapter 0, Problem 5.53

(choose chapter or problem)

Will I bomb the final? We expect that students who do well on the midtermexam in a course will usually also do well on the final exam. Gary Smith ofPomona College looked at the exam scores of all 346 students who took hisstatistics class over a 10-year period.19 The least-squares line for predicting finalexam score from midterm-exam score was y = 46.6 + 0.41x.Octavio scores 10 points above the class mean on the midterm. How manypoints above the class mean do you predict that he will score on the final? (Hint:Use the fact that the least-squares line passes through the point (x, y) and thefact that Octavios midterm score is x + 10.) This is an example of thephenomenon that gave regression its name: students who do well on themidterm will on the average do less well, but still above average, on the final.