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Pearson r for given data

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 yearâ??s 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?

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Pearson r
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 year's 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 ...

Solution Summary

The expert examines Pearson r for given data.

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