8. [12 marks] Fieen randomly selected students took a math test before they began their project management course. After the project management course, they took an exam of the course. Their scores in the math test (at) and in the project management course 0;) are recorded. Using software it is found that the linear regression equation that best predicts project management performance based on math scores is 9 = 30 + blx, where b0 = 20 and bl = 0.7. (a) Interpret the meaning of the slope, b1, in this problem. (b) If a student made a score of 90 on the math test, what score would we expect her to make in project management? (c) If a student who made a score of 90 on the math test obtained a score of 80 in project management, calculate the prediction error for the student. (d) Given that SSR = 20.000 and SST = 60.000 _. determine the coefcient of determination, R2, and interpret its meaningl