Use the dataset file GPA1.dta to do the following questions. We are interested in what factors will affect student’s college GPA. Use the command "describe" in STATA first to make sure you understand the meanings of all variables. Please write down all the answers below each question on this paper. Use log(colGPA) (we name it as lcolGPA) as the dependent variable, and use log(age) (we name it as lage) , hsGPA, ACT, male and skipped as the independent variables. log(colGPA) = β0+β1log(age)+β2hsGPA +β3ACT +β4male+β5skipped+ u Generate the those two log variables and name them as lcolGPA and lage (write down the command). (2 points) What is the average value of high school GPA in the sample? What is the maximum of age? Write down the command you use. (2 points) Run the regression in STATA. Write down the command that runs the regression and roughly draw the regression table (only the first three columns) here: (4 points) What are the standard errors of the coefficients on skipped and male respectively? (2 points) What is the R-squared of this regression? And the observation number? (2 points) What is the 95% confidence interval of the coefficient on male? (2 points) Which variables are significant at 1% significance level? Why? (2 points) Which variables are insignificant at 20% significance level? Why? (2 points) Based on what you have learned, can you improve the model? (20 points)