3. empirical exercise, to be solved using r. make sure to include your r script with your solution! the dataset cps 2016.xls consist of information on 59,668 full-time, full-year workers. ahe: average hourly earnings (in 2016 dollars) educ: years of schooling female: dummy variable equal to 1 if worker is female region: region of the country where the person lived in 2016 (a) run a regression of average hourly earnings (ahe) on age, educ, and female. is the male female earnings difference estimated from this regression statistically significant at the 5% level? (b) what is the difference between male and female earnings for individuals 27 years old with 12 years of education? what is the difference between male and female earnings for individuals 27 years old with 16 years of education? (c) now incorporate the information about region of residence in your regression. that is, create dummy variables for regions, include these variables in your equation and run a new regression. do there appear to be important regional differences? use an appropriate hypothesis test to explain your answer'