A dataset contains three variables, educ (educational achievement, measured in years). = 1 if lives in urban area), and female (binary, 1 for women). Let i, rep- urban (binary, resent the residuals from the regression of educ on urban, female, and the interaction term femalexurban. Determine if the following claims are true of false. (Write T or F in the boxes.) (a) The regression in the description is fully saturated. (b) ,urban, = 0. (e) Let educ, be the predicted years of education from the regression estimates, then Σ, educ, SSR. (d) Define a new variable by gen maleNonurban (female = 0) & (urban == 0). Then i maleNonurban, <= 0. 4. (4 points) A dataset contains three variables, educ (educational achievement, measured in years), urban (binary, = 1 if lives in urban area), and female (binary, 1 for women). Let à, rep- resent the residuals from the regression of educ on urban, female, and the interaction term femalexurban. Determine if the following claims are true of false. (Write T or F in the boxes.) (a) The regression in the description is fully saturated. (b) 0,urban, -0. (e) Let educ, be the predicted years of education from the regression estimates, then E, educ, SSR. (d) Define a new variable by gen malellonurban (female 0) & (urban == 0). Then , salellonurban, -0.