6. Continuing with the MedGPA dataset a. Find the estimated regression equation for predicting MCAT scores based on GPA. Write the equation using proper notation and also show the output from R. b. Write out the sum of squared errors (SSE, the objective function) that is going to be minimized with respect to the ,8 coefficients to obtain our estimated regression equation. That is to say, write out the theoretical form of the SSE (sum of the residuals squared) using the B coefcients that is to be minimized to nd the estimated regression line. c. Interpret the slope value in context of the problem. d. Interpret the intercept value in context of the problem. Is this a useful interpretation? e. Use the equation from part (a) to predict the MCAT score for someone that has a GPA of 3.0. Now predict the MCAT score form someone with a GPA of 4.0. ' f. What is the predicted difference in MCAT scores for two people who differ in GPA by 2.0? . g. Can we conclude that increasing GPA scores will increase MCAT scores? Explain in a sentence Or two. WS MCAT Apps Accept Acceptance BCPM GPA 0 . 84 . 74 3. 69 12 3. 53 3. 38 . 72 10 85 3. 89 26 11 3. 74 11 12 . 65 . 54 27 . 71 . 77 . 88 . 68 . 56 . 4 . 82 24 3. 09 3. 89 . 24 . 86 18 10 10 . 37 . 38 . 62 11 . 72 3. 56 44