In: Statistics and Probability
1. Two researcher want to find out whether there is a difference among graduation rates (these are in percentages) of five colleges over a 10-year period. Using the Data set below, determine if there a difference between colleges? Do this manually and show all eight steps in computing. (HINT: There is one variable being examined (i.e. graduation rates) for more than two groups (i.e. college 1, 2, 3, 4, 5) that are tested only once).
| 
 College 1  | 
 College 2  | 
 College 3  | 
 College 4  | 
 College 5  | 
|
| 
 2005  | 
 67  | 
 82  | 
 94  | 
 65  | 
 88  | 
| 
 2006  | 
 68  | 
 87  | 
 78  | 
 65  | 
 87  | 
| 
 2007  | 
 65  | 
 83  | 
 81  | 
 45  | 
 86  | 
| 
 2008  | 
 68  | 
 73  | 
 76  | 
 57  | 
 88  | 
| 
 2009  | 
 67  | 
 77  | 
 75  | 
 68  | 
 89  | 
| 
 2010  | 
 71  | 
 74  | 
 81  | 
 76  | 
 87  | 
| 
 2011  | 
 78  | 
 76  | 
 79  | 
 77  | 
 81  | 
| 
 2012  | 
 76  | 
 78  | 
 89  | 
 72  | 
 78  | 
| 
 2013  | 
 72  | 
 76  | 
 76  | 
 69  | 
 89  | 
| 
 2014  | 
 77  | 
 86  | 
 77  | 
 58  | 
 87  | 
2. How do you interpret = 18.9, p < .05?
3. If the correlation between variable X and variable Y is perfect, what do you know about the prediction?