# Project #78116 - Stat

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 54 70 2 74 62 3 89 78 4 115 92 5 150 75 6 165 75 7 162 82 8 180 62 9 185 65 10 194 70 11 200 81 12 210 83 13 210 94 14 222 82 15 240 84 16 242 77 17 250 88 18 270 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?

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

 Subject Mathematics Due By (Pacific Time) 08/02/2015 10:00 pm
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