_| SECTION ONE: INTRODUCTION TO MULTIPLE O.L.S. REGRESSION MODELING; ANALYZING THE DATA USING STATA For the given sample data shown below, use Stata to answer the following questions. X2 X; Y 21.1 14.5 22.3 20.3 14.9 22.6 20.6 16.1 22.7 20.7 16.3 22.9 21.1 16.3 23.1 21.4 16.9 23.2 21.1 17.2 23.4 21.3 17.2 23.5 21.5 17.5 23.3 21.5 17.4 23.3 21.7 17.3 23.6 21.3 17.4 23.7 22 17.6 23.9 22.1 17.6 24.1 22.4 17.7 24.4 22.6 17.3 24.7 22.7 17.9 24.9 22.9 13.2 25.2 23.1 13.3 25.5 23.2 13.1 25.1 23.1 13 25.2 23.4 13.3 25.4 23.4 13.5 25.6 23.3 13.3 25.6 23.1 13.5 25.7 23.3 13.3 25.3 23.4 13.6 25.9 23.5 13.3 26.2 23.6 19.1 26.4 23.9 20.1 26.9 (a) Construct a correlation matrix. What are the correlations between the dependent variable and each of the independent factors? Also, measure the correlations between the independent factors? (b) Construct the full model. (c) How well does our full model fit the data? What can you infer from the full model? (d) At the 5% level of significance, does each factor significantly affect our dependent variable? Explain. (e) What will be our robust model? Also, how well does our robust model fit the data