Problem 3 (10 points) In this problem we will examine a sample of 5,000 college applicants. Use the Excel file College_Admissions Sample. The file contains the students Admission and Enrollment status along with academic and demographic information about the student. Perform some pre-processing of the data to prepare it for analysis, by eliminating the variables ApplicantEnrolled, College GPA, and by converting the variables Gender, College, and Admitted to dummy variables. Create a correlation matrix of the resulting data. Run a logistic regression model to predict Admitted_Yes. Use the dummy variables with Male, and Business & Economics as the base case variables. Also include EDU_Parent1, EDU_Parent2, White, Asian, HSGPA, and SAT/ACT. Make sure to request an Analysis of Coefficients. Paste the coefficient summary into the template. Now eliminate any variables that were not statistically significant at the or equals 05 level and re-run the model. Paste the Classification Summary and Coefficient Table into the template. 1 Note: you might want to copy and Paste Special the data to a separate tab as a non-table