\begin{tabular}{|c|c|c|} \hline 1 & Final & Midterm \\ \hline 2 & 90 & 69 \\ \hline 3 & 86 & 93 \\ \hline 4 & 79 & 85 \\ \hline 5 & 91 & 89 \\ \hline 6 & 87 & 72 \\ \hline 7 & 68 & 67 \\ \hline 8 & 77 & 77 \\ \hline 9 & 73 & 61 \\ \hline 10 & 99 & 94 \\ \hline 11 & 54 & 85 \\ \hline 12 & 63 & 72 \\ \hline 13 & 98 & 87 \\ \hline 14 & 63 & 80 \\ \hline 15 & 88 & 82 \\ \hline 16 & 97 & 95 \\ \hline 17 & 90 & 88 \\ \hline 18 & 77 & 67 \\ \hline 19 & 95 & 90 \\ \hline 20 & 50 & 87 \\ \hline 21 & 91 & 78 \\ \hline 22 & 69 & 68 \\ \hline 23 & 89 & 85 \\ \hline 24 & 88 & 93 \\ \hline 25 & 38 & 64 \\ \hline 26 & 99 & 97 \\ \hline 27 & 51 & 67 \\ \hline 28 & 97 & 88 \\ \hline 29 & 88 & 92 \\ \hline 30 & 91 & 78 \\ \hline 31 & 49 & 35 \\ \hline 32 & 74 & 73 \\ \hline 33 & 91 & 39 \\ \hline 34 & & \\ \hline 35 & & \\ \hline \end{tabular} The accompanying data file shows the midterm and final scores for 32 students in a statistics course. a. Estimate a student's final scgre as a function of his/her midterm score. Note: Round your answers to 2 decimal places. b. Find the standard error of the estimate. Note: Round your answer to 2 decimal places. c. Find and interpret the coefficient of determination. Note: Round your answer to 2 decimal places