Ln(age) = β + βeduc + βtenure + βback + βtenure + βeduc. back + βtenure. back With all the variables described as follows: ln(wage) = natural log of monthly earnings; educ = years of education; tenure = years with current employer; black = 1 if black and 0 if not; tenure 2 = tenure*tenure educ. black is an interaction variable equal to educ*black; tenure. black is an interaction variable equal to tenure*black. From the model above, answer the following questions: a. Determine what the return to each additional year of education: i) for black workers, and ii) for nonblack workers. (2pts) b. Provide an interpretation for the coefficient associated to the variable educ. black (1 pt) c. Determine what is the effect of each additional year with current employer: i) for a black worker; ii) for a non-black worker. (2pts) d. For workers with the same number of tenure years and number of years of education, determine the difference in log(wage) between black and non-black workers. (1 pt) e. If > , then does the earning gap between black and non-black workers get larger for more educated workers or for less educated workers? (2pts) f. Provide a correct interpretation for the coefficient of the variable black. (1pt)