\begin{tabular}{|l|l|l|l|l|l|} \hline & & & & & C \\ \hline 31 & 81 & 97 & 2 \\ \hline 32 & 59 & 42 & 1 & \\ \hline 33 & 95 & 76 & 5 \\ \hline 34 & 59 & 57 & 2 \\ \hline 35 & 64 & 57 & 2 \\ \hline 36 & 61 & 80 & 2 \\ \hline 37 & 74 & 65 & 3 \\ \hline 38 & 75 & 87 & 3 & \\ \hline 39 & 76 & 42 & 4 \\ \hline 40 & 75 & 67 & 3 & \\ \hline 41 & 71 & 89 & 3 \\ \hline 42 & 72 & 71 & 3 \\ \hline 43 & 84 & 53 & 5 \\ \hline 44 & 73 & 68 & 2 \\ \hline 45 & 83 & 83 & 4 \\ \hline 46 & 57 & 54 & 1 \\ \hline 47 & 79 & 88 & 4 \\ \hline 48 & 88 & 90 & 4 \\ \hline 49 & 69 & 93 & 2 \\ \hline 50 & 82 & 76 & 5 \\ \hline 51 & 52 & 46 & 3 \\ \hline 52 & 71 & 61 & 2 \\ \hline 53 & 66 & 47 & 4 \\ \hline 54 & 69 & 60 & 3 \\ \hline 55 & 74 & 56 & 5 \\ \hline 56 & 62 & 83 & 1 \\ \hline 57 & 62 & 41 & 2 \\ \hline 58 & 78 & 80 & 4 \\ \hline 59 & 66 & 43 & & 2 \\ \hline 60 & 78 & 41 & 5 \\ \hline \end{tabular} Exercise 7.36 Static On the first day of class, an economics professor administers a test to gauge the math preparedness of her students. She belleves that the performance on this math test and the number of hours studied per week on the course are the primary factors that predict a student's score on the final exam. The accompanying data file shows information on 60 students. Click here for the Excel Data Flle a. Estimate the sample regression equation that enables us to predict a student's final exam score (Final) on the basis of his/her math score (Math) and the number of hours studied per week (Hours). Note: Round your answers to 2 decimal places. b-1. At the 5% significance level, are a student's math score and the number of hours studied per week jointly significant in explaining a student's final exam score? First, specify the competing hypotheses. 0:1=2=0;1 Nt lenat one j>0 0:12=0;BA: At least one j0H0:j=0;BA:j0 0:12=0;BA: At least one j0H0:j=0;BA:j