) 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:
- 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?