We expect that students who do well on the midterm exam in a course will usually also do well on the final exam. Gary Smith of Pomona College looked at the exam scores of all 346 students who took his statistics class over a 10-year period. Assume that both the midterm and final exam were scored out of 100 points. The actual least-squares line for predicting final-exam score y from midterm-exam score x was
Predict the score of a student who scored 50 on the midterm and a student who scored 100 on the midterm.