We first estimate the following model via OLS: children; = Bo + Bieduc; + B2age; + Bzage? + Bqurban; + u; Regression results OLS Estimation Summary =======--= Dep. Variable: children R-squared: Adj. R-squared: 0.4239 Estimator: OLS 0.4227 No. Observations: 1953 F-statistic: 1437.1 Date: Thu, Dec 09 2021 P-value (F-stat) 0.0000 Time: 15:26:40 Distribution: chi2(4) Cov. Estimator: unadjusted Parameter Estimates Parameter Std. Err. T-stat P-value Lower CI Оpper CI const educ 0.6500 0.0099 -5.2350 -0.0825 -6.5091 -10.014 0.0000 -7.7831 -0.1018 -10.298 0.0000 -0.1212 age 0.5123 0.0400 12.816 0.0000 0.4340 0.5907 -0.0053 0.0006 -8.8446 0.0000 -0.0064 -0.0041 agesq urban -0.3961 0.0832 -4.7617 0.0000 -0.5591 -0.2331 (i) Given a group of 200 30-year old women who live in an urban area, suppose 100 of them have 7 years of education and 100 of them have 8 years of education. What is the estimated difference in the number of children these two groups (grouped by number of years of education) of women are expected to have? (ii) Given a group of 200 women with 12 years of education and who live in a nonurban area, suppose 100 of them are 30 years old and 100 of them are 35 years old. What is the estimated difference in the number of children the 35-year old group is expected to have, relative to the 30-year old group? (iii) Given a group of 200 25-year old women with 10 years of education, suppose 100 of them live in an urban area and 100 of them live in a nonurban area. What is the estimated difference in the number of children these two groups (grouped by urban and nonurban) of women are expected to have?