Question: (6 Points) A statistics professor conducts a study to investigate the relationship between the performance of students on his exams and their anxiety. Ten students from his class are selected for the experiment. Just prior to taking the final exam, the 10 students are given an anxiety questionnaire. Here are final exam and anxiety scores for the students.

Anxiety Final Exam

28 82

41 58

35 63

39 89

31 92

42 64

50 55

46 70

45 51

37 72

Σ X = 394 Σ Y = 696 Σ XY = 26,819

Σ X² = 15,946 Σ Y² = 50,248

a) Pearson r for these two variables is

b) Write the least squares regression equation using anxiety predicting the final exam.

c) If anxiety level was 49, what is the predicted final exam score.