Compute the Pearson Correlation Coefficient for these data. r =
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Question
Identifying individuals with a high risk of Alzheimer’s disease usually involves a long series of cognitive tests. However, researchers have developed a 7-Minute Screen, which is a quick and easy way to accomplish the same goal. The question is whether the 7-Minute Screen is as effective as the complete series of tests. To address this question, Ijuin et al. (2008) administered both tests to a group of patients and compared the results.
Patient |
7-Minute Screen |
Cognitive Series |
A |
3 |
7 |
B |
7 |
15 |
C |
4 |
14 |
D |
5 |
13 |
E |
7 |
9 |
F |
5 |
15 |
G |
11 |
25 |
Compute the Pearson
r =
Do not round
Expert Solution
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Step 1
The sums are,
7-Minute screen(x) | Cognitive Series (y) | x | xy | |
3 | 7 | 9 | 49 | 21 |
7 | 15 | 49 | 225 | 105 |
4 | 14 | 16 | 196 | 56 |
5 | 13 | 25 | 169 | 65 |
7 | 9 | 49 | 81 | 63 |
5 | 15 | 25 | 225 | 75 |
11 | 25 | 121 | 625 | 275 |
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