### Linear Regression Model: Midterm Exam vs. Final Exam

Please show detailed calculations. Much appreciated. The following shows the mid-term and final examination scores of a class of 20 statistics students: Midterm Exam. x Final Exam. y 68 75 49 63 60 57 68 88 97 88 82 79 59 82 50 73 73 90 39 62 71 70 95 96 61 76 72 75 87 85 40 40 66 74 58 70 58 75 77 72