2. Using the Bail Decision-Making data file, use logbail as the dependent variable. Select a set of 4–6 independent variables, and estimate the following models: (a) Random intercept model: • Which of the fixed effects are statistically significant at a 5% level of significance? • Interpret each of the statistically significant fixed effects. • Test whether the RIM offers a significant improvement over a linear regression model. Use a significance level of 5%. (b) Random coefficient model: Select at least one, but no more than three, of the independent variables to have a random coefficient. Do not estimate the covariances of the random effects. • Did anything change in regard to the effects of these independent variables? Value of the coefficient? Level of statistical significance? • Test whether this RCM offers a significant improvement over the RIM estimated in part (a). Use a significance level of 5%. (c) Random coefficient model: Use the same RCM as in part (b), but estimate the random-effect covariances. • Did anything change in regard to the effects of these independent variables? Value of the coefficient? Level of statistical significance? • Test whether this RCM offers a significant improvement over the RCM estimated in part (b). Use a significance level of 5%.