12. A statistics professor conducts a study to investigate the relationship between the performance of his students on exams and their anxiety. Ten students from his class are selected for the experiment. Just before taking the final exam, the 10 students are given an anxiety questionnaire. Here are final exam and anxiety scores for the 10 students: Student No. 1 2 3 4 5 6 7 8 9 10 Anxiety 28 41 35 39 31 42 50 46 45 37 Final Exam 82 58 63 89 92 64 55 70 51 72 a.On a piece of graph paper, construct a scatter plot of the paired scores. Use anxiety as the X variable. b. Describe the relationship shown in the graph. c. Assuming the relationship is linear, compute the value of Pearson r d. Determine the least-squares regression line for predicting the final exam score, given the anxiety level. Should b y be positive or negative? Why? e. Draw the least-squares regression line of part d on the scatter plot of part a. f. Based on the data of the 10 students, if a student has an anxiety score of 38, what value would you predict for her fi al exam score? (Round to two decimal places.) g. Calculate the standard error of estimate for predicting final exam scores from anxiety scores.