Over the past few years the percentage of students who leave Lakeland College at the endof the first year has increased. Last year Lakeland started a voluntary one-week orientationprogram to help...

Over the past few years the percentage of students who leave Lakeland College at the endof the first year has increased. Last year Lakeland started a voluntary one-week orientationprogram to help first-year students adjust to campus life. If Lakeland is able to show thatthe orientation program has a positive effect on retention, they will consider makingthe program a requirement for all first-year students. Lakeland’s administration alsosuspects that students with lower GPAs have a higher probability of leaving Lakeland atthe end of the first year. In order to investigate the relation of these variables to retention,Lakeland selected a random sample of 100 students from last year’s entering class. Thedata are contained in the data set named Lakeland; a portion of the data follows.Student GPA Program Return1 3.78 1 12 2.38 0 13 1.30 0 04 2.19 1 05 3.22 1 16 2.68 1 1. . . .. . . .. . . .98 2.57 1 199 1.70 1 1100 3.85 1 1The dependent variable was coded as y  1 if the student returned to Lakeland for thesophomore year and y  0 if not. The two independent variables are:x2  0 if the student did not attend the orientation program1 if the student attended the orientation programx1  GPA at the end of the first semestera. Write the logistic regression equation relating x1 and x2 to y.b. What is the interpretation of E( y) when x2  0?c. Use both independent variables and Minitab to compute the estimated logit.d. Conduct a test for overall significance using a  .05.e. Use a  .05 to determine whether each of the independent variables is significant.f. Use the estimated logit computed in part (c) to compute an estimate of the probabilitythat students with a 2.5 grade point average who did not attend the orientation programwill return to Lakeland for their sophomore year. What is the estimated probability forstudents with a 2.5 grade point average who attended the orientation program?g. What is the estimate of the odds ratio for the orientation program? Interpret it.h. Would you recommend making the orientation program a required activity? Why orwhy not?