When a student performs poorly on a midterm exam, the student sometimes is convinced that their score is an anomaly and that they will do much better on the second midterm. The data below show the midterm scores (out of 100 points) for eight students in an introductory statistics class.

For Information: Refer to Exercise 3.36.
a. Calculate r, the correlation coefficient between the two midterm scores. How would you describe the relationship between scores on the first and second midterms?
b. Calculate the regression line for predicting a student's score on the second midterm exam based on the student's score on the first midterm.
c. Using the regression line from part b, predict a student's score on the second midterm if his score on the first midterm was 85.

Transcribed Image Text:

Student Midterm 1 Midterm 2 70 58 85 82 70 40 85 85 8B 52 84 74 80 36 48 96