Chapter 14, Problem 60SE

One of the biggest changes in higher education in recent years has been the growth of online universities. The Online Education Database is an independent organization whose mission is to build a comprehensive list of the top accredited online colleges. The following table shows the retention rate (%) and the graduation rate (%) for 29 online colleges.

Retention Rate (%)	Graduation Rate (%)
7	25
51	25
4	28
29	32
33	33
47	33
63	34
45	36
60	36
62	36
67	36
65	37
78	37
75	38
54	39
45	41
38	44
51	45
69	46
60	47
37	48
63	50
73	51
78	52
48	53
95	55
68	56
100	57
100	61

1. a. Develop a scatter diagram with retention rate as the independent variable. What does the scatter diagram indicate about the relationship between the two variables?
2. b. Develop the estimated regression equation.
3. c. Test for a significant relationship. Use α = .05.
4. d. Did the estimated regression equation provide a good fit?
5. e. Suppose you were the president of South University. After reviewing the results, would you have any concerns about the performance of your university as compared to other online universities?
6. f. Suppose you were the president of the University of Phoenix. After reviewing the results, would you have any concerns about the performance of your university as compared to other online universities?