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.