1. (27p) Let the grade be a binary variable as follows: = { 1 + 0 + Consider the following population regression: = 0 + 1 + 2 + where is the average amount of time studied per week and it is self-reported, and is whether the student attended the review classes for the exams, such as = { 1 0 Table 1 reports the summary statistics for all variables: Table 1 Variable Mean Stan. deviation Min Max 0.78 0.4 0 1 10 4 2 20 0.88 0.3 0 1 Table 2 shows the results of three models: Linear Probability Model (LPM), Probit and Logit. Table 2 LPM Probit Logit Dependent Var: 0.5 0.3 0.6 0.02 0.04 0.05 0.28 0.8 1.3 2 (a) (9p) Use the linear probability model to calculate the marginal difference in probability of getting a high grade for someone who attended the review classes and someone who did not. (b) (9p) Use the probit model to calculate the same probability. (c) (9p) Use the logit method to calculate the same probability