Suppose that we want study about factors affecting the academic performance of third year Economics students in dira Dawa University. Suppose, to this end, data on cumulative GPA, SEX, personal computer (PC) ownership, and hours of study (HRS) per week and entrance exam results (EER) were collected from a sample of 10 third year Economics students. Assume further that, categorical variables are defined as follow. SEX: 1 for male and 0 for female Personal computer ownership: 1 for students with PC and 0 for students without PC Import this data in to STATA by directly writing on data editor Students CGPA SEX PC HRS EER 1 2.5 1 6 250 1.93 0 0 5 280 2.3 0 0 4 319 2.77 1 0 9 326 2.32 0 0 7 327 3.33 1 1 10 350 7 2.42 0 0 12 329 8 2.33 0 8 314 9 2.5 0 6 316 10 2.75 1 0 7 350 a) Test whether there is statistically significant difference b mean CGPA of students with PC and students without PC using meant test b) Summarize the values of continuous variables (CGPA, HRS & EER) for male and female separately c) Interpret the regression results d) Predict the value of CGPA if hours of study per week is 20 e) Test for heteroskedasticity, multicollinearity and autocorrelation 2 3 4 5 9 lo