A university administrator has collected the following data for a random sample of 8 students: (i) the total score on their SAT (taken during high school), and (ii) the grade point average at the end of their freshman year at the university. The data are as follows:Student Total SAT Score GPA1 1150 3.602 1200 2.753 900 2.404 1120 3.205 1030 2.506 1340 3.807 950 2.308 1090 3.10a. Determine the least-squares regression line for estimating freshman grade point average (GPA) based on total SAT score. Show all your work.b. What significance is there to a? Explain briefly. What significance is there to b? Explain briefly.c. Estimate the college freshman GPA for an applicant who has scored a total of 1100 on his SAT exam.d. Determine the standard error of the estimate. What does it indicate?e. What is the confidence interval estimate for Ŷ, at a confidence level of 90%, when x= 1200?f. Calculate and interpret the coefficient of correlation and the coefficient of determination.