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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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 Correlation Coefficient for these data.

r = 

 

Do not round

Expert Solution
Step 1

The sums are,

7-Minute screen(x) Cognitive Series (y) x2x y2 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
ix=42 iy=98 ix2=294 iy2=1,570 ixy=660
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