Answered: Compute the Pearson Correlation…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 Correlation Coefficient for these data.

r =

Do not round

Expert Solution

Step 1

The sums are,

7-Minute screen(x)	Cognitive Series (y)	$x^{2}$ x	$y^{2}$	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
$\sum_{i} x = 42$	$\sum_{i} y = 98$	$\sum_{i} x^{2} = 294$	$\sum_{i} y^{2} = 1, 570$	$\sum_{i} x y = 660$

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