Sociologists have long been interested in intergenerational mobilitythat is, how much advantages and disadvantages in society transferred across generations. One way that sociologists have tried to measure this is through education. How much does parent's education explain the amount of education their children eventually complete? In this assignment, we'll consider such a model. The data for this model comes from the 2018 General Social Survey, a large representative sample of adults in the United States. Respondents are asked about their own education and the education of each of their parents. For this data, education is measures in years, (Le, 12 years for finishing high school, 14 years for Associates, 16 years for Bachelors, 18 years for Masters, etc.) In this assignment, we will just focus on father's education, which is a common but problematic feature of this research. The estimated regression equation is: Child's education = 10.1 + 0.4*Father's education a. What is the dependent variable in this regression model? b. What is the independent variable? c. What is the value of the intercept? d. According to the regression model, does father's education have a positive or negative effect on child's education? Explain how you know. e. What is the effect of each year of father's education on child's education? In other words, by how much would a child's predicted education increase for each additional year offather's education? (Hint: you should not use the intercept to answer this question.) f. Based on the model, what would you predict for the years of educational achievement of someone whose father completed 14 years of education? (Note: it's okay that this prediction is not a whole number. We can also think of this as the predicted average among everyone whose father has 14 years of education.) [Must show some work.] g. Suppose the standard error on the estimate of effect of Father's education is .15. Calculate the t-statistic of this effect. [Must show some work.] h. Based on the tstatistic, can we be at least 95% confident that there is a true association between fathers' education and children's education in the United States? i. The R2 on this model is .22. What percent of Child's educational achievement can be explained by Father's education achievement