## 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.