Project #84274 - Stats

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

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

 

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

???

 

 

 

 

 

Subject Mathematics
Due By (Pacific Time) 10/03/2015 12:00 am
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