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?