# Case Write Up 3

**Topics:**Regression analysis, Linear regression, Errors and residuals in statistics

**Pages:**3 (541 words)

**Published:**July 29, 2013

ALUMNI GIVING

MGSC2301

Professor Robert Parsons

1.

Variables Entered/Removedb|

Model| Variables Entered| Variables Removed| Method|

1| % of Classes Under 20| .| Enter|

a. All requested variables entered.b. Dependent Variable: Alumni Giving Rate|

Model Summary|

Model| R| R Square| Adjusted R Square| Std. Error of the Estimate| 1| .646a| .417| .404| 10.375|

a. Predictors: (Constant), % of Classes Under 20|

ANOVAb|

Model| Sum of Squares| df| Mean Square| F| Sig.|

1| Regression| 3539.796| 1| 3539.796| 32.884| .000a| | Residual| 4951.683| 46| 107.645| | |

| Total| 8491.479| 47| | | |

a. Predictors: (Constant), % of Classes Under 20b. Dependent Variable: Alumni Giving Rate|

Coefficientsa|

Model| Unstandardized Coefficients| Standardized Coefficients| t| Sig.| | B| Std. Error| Beta| | |

1| (Constant)| -7.386| 6.565| | -1.125| .266|

| % of Classes Under 20| .658| .115| .646| 5.734| .000| a. Dependent Variable: Alumni Giving Rate|

Regression Function

Question 2 and 3’s data:

2. I am 95% confident that my statement is correct when I say that the average of expected alumni giving rate for a university with 40% of its classes with fewer than 20 students is between -2.48624 and 40.33560.

3. I am 95% confident that my statement is correct when I say that the average of expected alumni giving rate for all universities with 40 percent of their classes with fewer than 20 students are between 14.20497 and 23.64439.

4.

Variables Entered/Removedb|

Model| Variables Entered| Variables Removed| Method|

1| Student/Faculty Ratio| .| Enter|

a. All requested variables entered.b. Dependent Variable: Alumni Giving Rate|

Model Summary|

Model| R| R Square| Adjusted R Square| Std. Error of the Estimate| 1| .742a| .551| .541| 9.103|

a. Predictors: (Constant), Student/Faculty Ratio|

ANOVAb|...

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