Discuss the following:
The admissions officer of TopNotch University wants to know the relationship between the high school GPAs and college GPAs for the 15 merit scholars in this years freshman class.
Here are the data:
Student High School GPA College GPA
1 3.6 3.7
2 3.9 3.9
3 4.0 3.7
4 3.4 3.5
5 3.8 3.4
6 3.7 3.3
7 3.7 3.3
8 4.0 3.6
9 3.9 3.5
10 3.5 3.2
11 3.3 3.0
12 3.7 3.7
13 3.4 3.2
14 3.6 3.5
15 3.6 3.4
a. Calculate Pearson r.
b. Interpret the correlation coefficient for a one-tailed test: Can you reject the null hypothesis? If so, with what confidence?