- Load gpa2, dta to R. In the data set, colgpa = cumulative college GPA, hsize = size of high school graduating class in hundreds, sat = combined SAT score, female = a binary gender variable ( 1 if female and 0 otherwise) and athelete =1 if student-athlete and 0 otherwise. 1. (5 points) Find the average of colgpa. Also, find the average of colgpa for female students and the average of colgpa for male students: which one is larger? 2. (5 points) Draw the scatter plot of colgpa on sat: that is, place colgpa on the vertical axis. Add an appropriate title to the scatter plot. You must include the plot in your submitted work: if you submit only the R code, you will get 2 points. 3. (10 points) Estimate the model colgpa=0+1hsize+2sat+3female+4athlete+u1 with the OLS estimator. And interpret the estimated coeflicient on female. - Load gpa2, dta to R. In the data set, colgpa = cumulative college GPA, hsize = size of high school graduating class in hundreds, sat = combined SAT score, female = a binary gender variable ( 1 if female and 0 otherwise) and athelete =1 if student-athlete and 0 otherwise. 1. (5 points) Find the average of colgpa. Also, find the average of colgpa for female students and the average of colgpa for male students: which one is larger? 2. (5 points) Draw the scatter plot of colgpa on sat: that is, place colgpa on the vertical axis. Add an appropriate title to the scatter plot. You must include the plot in your submitted work: if you submit only the R code, you will get 2 points. 3. (10 points) Estimate the model colgpa=0+1hsize+2sat+3female+4athlete+u1 with the OLS estimator. And interpret the estimated coeflicient on female