6. GPA. The director of graduate admissions at a large university is analyzing the relationship between scores on the math portion of the Graduate Record Examination (GRE) and subsequent performance in graduate school, as measured by a student's grade point average (GPA). The accompanying data file shows the GPA and GRE for 24 students. a. Find the sample regression equation for the model: GPA=β0​+β1​GRE+ε. b. What is a student's predicted GPA if he/she scored 710 on the math portion of the GRE? \begin{tabular}{|r|r|r|} \hline A & \multicolumn{1}{|l|}{ B } \\ \hline GPA & GRE \\ \hline 3.0 & 700 \\ \hline 3.5 & 720 \\ \hline 3.2 & 650 \\ \hline 3.7 & 750 \\ \hline 3.1 & 680 \\ \hline 3.9 & 730 \\ \hline 3.3 & 740 \\ \hline 3.5 & 780 \\ \hline 3.0 & 690 \\ \hline 3.5 & 730 \\ \hline 3.2 & 640 \\ \hline 3.7 & 740 \\ \hline 3.1 & 690 \\ \hline 3.9 & 720 \\ \hline 3.3 & 740 \\ \hline 3.5 & 750 \\ \hline 2.9 & 690 \\ \hline 3.3 & 730 \\ \hline 3.3 & 640 \\ \hline 3.6 & 740 \\ \hline 3.0 & 690 \\ \hline 3.8 & 720 \\ \hline 3.2 & 740 \\ \hline 3.5 & 760 \\ \hline \end{tabular}