The SAT has gone through many revisions over the years. People argue that female students generally do worse on math tests petter on writing tests. The accompanying data file shows a student's score on the writing and math sections of the SAT Writing Math, respectively), the student's GPA, and a Female dummy variable that equals 1 if the student is female, 0 otherwise. Click here for the Excel Data File a-1. Estimate a linear regression model with Writing as the response variable and GPA and Female as the predictor variables. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. a-2. Compute the predicted writing score for a male student with a GPA of 3.5. Repeat the computation for a fervale student. Note: Do not round intermediate calculations. Round final answers to the nearest whole number. b-1. Estimate a linear regression model with Math as the response variable and GPA and female as the predictor variables. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. 1. Estimate a linear regression model with Math as the response variable and GPA and female as the predictor variables. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. b-2. Compute the predicted math score for A male and female student with a GPA of 3.5. Note: Do not round intermediate calculations. Round final answers to the nearest whole number. \begin{tabular}{c|c|c|c|c|} \hline & \multicolumn{1}{|c}{ A } & B & C & D \\ \hline 1 & Writing & Math & GPA & Female \\ \hline 2 & 620 & 600 & 3.44 & 0 \\ \hline 3 & 570 & 550 & 3.04 & 0 \\ \hline 4 & 540 & 540 & 2.67 & 0 \\ \hline 5 & 580 & 610 & 3.29 & 0 \\ \hline 6 & 590 & 590 & 3.36 & 0 \\ \hline 7 & 550 & 520 & 2.88 & 1 \\ \hline 8 & 580 & 610 & 3.2 & 0 \\ \hline 9 & 490 & 520 & 2.35 & 0 \\ \hline 10 & 590 & 570 & 3.17 & 1 \\ \hline 11 & 620 & 660 & 3.71 & 0 \\ \hline 12 & 530 & 520 & 2.38 & 0 \\ \hline 13 & 610 & 600 & 3.25 & 1 \\ \hline 14 & 600 & 530 & 3.13 & 1 \\ 15 & 640 & 580 & 3.51 & 1 \\ \hline 16 & 540 & 570 & 2.82 & 1 \\ \hline 17 & 540 & 500 & 2.38 & 0 \\ \hline 18 & 560 & 620 & 3.39 & 0 \\ \hline 19 & 550 & 540 & 2.73 & 0 \\ \hline 20 & 540 & 590 & 3.03 & 0 \\ \hline 21 & 540 & 520 & 2.84 & 0 \\ \hline \end{tabular}