) The director of a national research institute believes that faculty at larger, more comprehensive institutions have lighter teaching and advisory responsibilities and more time for research and scholarly writing. The director develops a measure of institutional comprehensiveness and a measure of scholarly productivity for psychology departments. In a pilot project, the director selects 18 colleges and universities and determines the institutional comprehensiveness and scholarly productivity of the psychology departments in these institutions. The data were as follows:
Institution | Comprehensiveness | Scholarly Productivity |
1 | 162 | 82 |
2 | 250 | 88 |
3 | 89 | 78 |
4 | 115 | 92 |
5 | 165 | 75 |
6 | 150 | 75 |
7 | 54 | 70 |
8 | 180 | 62 |
9 | 185 | 65 |
10 | 194 | 70 |
11 | 200 | 81 |
12 | 210 | 94 |
13 | 210 | 83 |
14 | 222 | 82 |
15 | 240 | 84 |
16 | 242 | 77 |
17 | 74 | 62 |
18 | 270 | 86 |
- Determine the regression equation for predicting scholarly productivity (Y) from institutional comprehensiveness (X).
- For an institution with a comprehensiveness score of 175, predict the psychology
department’s scholarly productivity score.
2) Enrollment and Courses Projection
This is a real world example. I need your help in helping the Registrar’s office in calculating how many courses should run for the Fall ’15 semester. Using enrollment and courses that ran, I need you to do two things:
- a) Identify the regression equation for the data to estimate the number of courses.
- b) If the enrollment for Fall ’15 is 7,450, how many courses should be scheduled?