# Over the past few years the percentage of students who leave Lakeland College at the end of the first year has increased. Last year Lakeland started a voluntary one-week orientation program to help firstyear students adjust to campus life. If Lakeland is able to show that the orientation program has a positive effect on retention, they will consider making the program a requirement for all first-year students. Lakeland’s administration also suspects that students with lower GPAs have a higher probability of leaving Lakeland at the 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. The data are contained in the data set named Lakeland; a portion of the data follows. Student GPA Program Return 1 3.78 1 1 2 2.38 0 1 3 1.30 0 0 4 2.19 1 0 5 3.22 1 1 6 2.68 1 1 7 2.72 0 0 8 1.74 0 0 9 1.86 0 0 10 3.53 1 1 The dependent variable was coded as y = 1 if the student returned to Lakeland for the sophomore year and y=0 if not. The two independent variables are: x1 = GPA at the end of the first semester x2 = 0 if the student did not attend the orientation program OR 1 if the student attended the orientation program Required: a. 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 α = 0.05.

### Another question on Mathematics

Mathematics, 21.06.2019 13:40
What is the correlation coefficient for the data? don't forget to turn the diagnoisticon (in the catalog menu of the calculator). r = answer (round to the nearest thousandth)