4-. A statistics professor believes that the amount of time a student spends studying is predictive of their test scores. The professor obtains study time (in hours per week) and test grades 'om a random sample of 9 students. The data is presented in the table below: Hours Spent Studying Per Test Scores Week 11 80 2 37 1 14 4 66 3 43 l 52 7 96 6 5 1 3 44 EX= 38 ZX2= 246 EY= 483 2Y2= 30627 EXY= 2523 a. Create the regression equation that predicts test scores based on hours spent studying per week. (4 points) b. For each unit increase in hours studied (1 hours), how many points do you predict the test score would increase? (1 point) e. What is the value of the yaxis intercept for the regression equation? (1 point) (1. Suppose a student studies 5 hours per week. Estimate what their test score will be. (1 point)