Math 131

Fall 2001

Project

Dr. Wilson

 

Below is a table which presents the data for the administrative costs and enrollment at the 21 university campuses of the California State University System for the academic year 1997-1998.

Campus

Enrollment (FTES)

No. of Managers

Management Compensation

Monterey Bay

1830

93

$8,815,998

San Marcos

3703

59

$5,993,073

Stanislaus

4688

59

$5,594,812

Bakersfield

4720

52

$5,078,223

Sonoma

5961

127

$11,494,416

Humboldt

7118

76

$7,117,239

Dominguez

7790

90

$8,856,879

Hayward

10039

89

$9,088,521

San Bernadino

10680

79

$7,414,671

Chico

13472

119

$10,535,045

Los Angeles

13881

110

$11,439,917

Pomona

14378

107

$10,643,063

San Luis Obispo

15121

129

$13,490,041

Fresno

15290

129

$12,998,804

Sacramento

18537

131

$12,957,279

Fullerton

18545

139

$13,400,765

San Jose

19533

143

$14,765,556

Northridge

19841

197

$18,329,828

San Francisco

20360

141

$14,932,678

Long Beach

21456

184

$17,769,573

San Diego

24617

198

$19,343,224

Totals

271560

2451

$240,059,605

1. Make a scatter plot with enrollment as the explanatory variable and administrative costs as the response variable.

2. Find the equation for the regression line for this variable and plot it in the scatter plot.

3. Calculate r , the correlation coefficient for the data

4. Calculate the residuals for all the campuses.

5. Which two campuses have the largest residuals?

6. Recalculate the regression equation and the correlation coefficient after removing these points. Is there a difference?

7. What are the residuals for the two campuses in #5 with respect the the regression equation from #6?

8. State any conclusions you can make as a result of this study.