Solve this problem by using Minitab 19.

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 first- year

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. 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

1 if the student attended the orientation program

a) Write the logistic regression equation relatingX1 and toX2 .

b) What is the interpretation of E (y) whenX2=0?

c) Use both independent variables and Minitab to compute the estimated logistic regression.

d) Conduct a test for overall significance using Use=0.05.

e) Use =0.05 to determine whether each of the independent variables is significant.

f) Use the estimated logit computed in part (c) to estimate the probability that students with a 2.5

grade point average who did not attend the orientation program will return to Lakeland for their

sophomore year. What is the estimated probability for students with a 2.5 grade point average

who attended the orientation program?

g) What is the estimated odds ratio for the orientation program? Interpret it.

h) Would you recommend making the orientation program a required activity? Why or why not?

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

11 3.12 0 1

12 1.21 0 0

13 3.01 1 1

14 2.70 0 0

15 2.47 1 1

16 2.37 0 1

17 2.28 1 0

18 2.76 0 0

19 2.24 0 0

20 3.10 1 1

21 2.86 0 1

22 2.62 0 1

23 3.07 1 1

24 2.18 0 1

25 3.30 1 1

26 2.43 1 0

27 2.38 0 0

28 1.23 0 0

29 2.63 1 1

30 4.00 1 1

31 2.21 1 0

32 1.73 0 0

33 2.62 1 0

34 2.65 1 1

35 2.82 1 1

36 3.77 1 1

37 2.38 1 1

38 3.11 1 1

39 2.82 0 1

40 2.16 1 0

41 2.66 1 0

42 3.33 1 1

43 2.77 1 0

44 4.00 1 1

45 2.33 0 0

46 3.41 0 0

47 1.98 1 0

48 3.06 1 1

49 3.98 1 1

50 3.24 1 1

51 3.22 0 0

52 3.05 1 1

53 2.66 0 0

54 2.88 1 1

55 2.60 1 1

56 3.12 1 1

57 3.12 1 1

58 2.72 1 1

59 3.38 1 1

60 3.29 0 1

61 3.49 1 1

62 2.89 1 1

63 2.46 1 1

64 1.90 1 1

65 2.77 1 1

66 2.61 0 0

67 2.44 1 0

68 3.10 1 1

69 3.87 1 1

70 3.25 1 1

71 2.44 1 1

72 2.66 1 1

73 3.06 1 1

74 2.75 0 1

75 3.65 1 1

76 1.66 0 0

77 3.41 1 1

78 2.91 1 1

79 2.15 0 1

80 1.54 0 0

81 3.45 1 1

82 1.98 0 0

83 2.22 0 0

84 2.51 0 0

85 2.99 1 1

86 3.48 1 1

87 2.75 1 1

88 3.71 1 1

89 2.11 0 0

90 2.86 1 1

91 2.87 1 1

92 2.64 0 1

93 1.61 0 0

94 3.48 1 1

95 3.04 1 1

96 2.25 0 1

97 2.54 0 0

98 2.57 1 1

99 1.70 1 1

100 3.85 1 1