2. Use the Wooldridge GPAZ Data Set. One of the challenges that university administratol ust deal with is deciding which students to admit to their institution, and which to deny. T: lp make these decisions, admissions officers often rely on quantitative data about student j ormance, such as scores on standardized tests like SAT exams. (2 points) (1) Estimate and display the results of two models where College GPA (colgpa) is the endent variable. In the first model SAT test (sat) should be the only independent v; ble. In the second model also control for high-school rank and the indicator variab or athlete, gender, and race (athlete, female, and black). In each model be sure to r- rt both the Rsquared, and adjusted Rsquared. (2) Interpret all your results (overall model, coefficients, Rsquared, and adjusted R-S( ed). (3) Between the two models Why is the R-squared different? Why is the adjusted R-sq ed different? (4) Plot the residuals against the predicted values of the dependent variable to deterrni f any patterns emerge. (5) Plot the residuals against each X-variable to determine if any patterns emerge