Reference no: EM13903890

1) 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	160	82
2	252	88
3	89	78
4	110	92
5	170	75
6	154	75
7	50	70
8	185	62
9	185	65
10	194	70
11	205	81
12	210	94
13	210	83
14	220	82
15	240	84
16	244	77
17	70	62
18	274	86

a. Determine the regression equation for predicting scholarly productivity (Y) from institutional comprehensiveness (X).

b. 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?

The data below should help you with your recommendation.

	Fall '12	Fall '13	Fall '14	Fall '15
Enrollment	8042	8179	7651	7450
Courses	1322	1374	1268	???