In: Economics
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. Write the regression equation.
2. Interpret the regression constant and regression coefficient.
3. Forecast a value for the dependent variable, test the significance of the regression coefficient at an alpha level of .05. Test the overall significance of the regression model, and Interpret the coefficient of determination.
5. Are there any indications of violations of the general linear model? You must address each assumption separately and explain.