Let us consider a problem from Problem Set 1 in a different way... A professor wanted to predict final exam scores from midterm exam scores. To do this, he examined the exam scores from several students who took his class last semester. He randomly selected scores from eight students to use for his analysis: Midterm Scores: 80 74 68 91 84 76 97 55 Final Exam Scores: 92 65 70 93 80 82 91 51 What is the correlation between midterm exam scores and final exam scores? How much variability in final exam scores is explained by midterm exam scores? (Be sure to interpret your numerical value) Find the regression equation for predicting final exam scores from midterm exam scores. If a student in the professor's class achieved a score of 78 on the midterm exam, what score do you predict that student would earn on the final exam? What is the value of the standard error of the estimate