Calculate the Pearson's coefficient r, then explain the direction and strength of the relationship based on the r

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Calculate the Pearson's coefficient r, then explain the direction and strength of the relationship based on the r.
1
2
3
4
A
Subject ID
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
DO
22
23
1
2
3
4
5
LO
6
7
00
8
9
10
11
12
13
14
15
16
17
18
19
20
B
education
14
13
12
14
16
12
15
12
10
14
18
12
12
16
18
14
10
12
15
13
C
memory
112
117
98
114
110
89
94
106
86
107
113
84
102
90
119
86
97
106
114
110
Transcribed Image Text:1 2 3 4 A Subject ID 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 DO 22 23 1 2 3 4 5 LO 6 7 00 8 9 10 11 12 13 14 15 16 17 18 19 20 B education 14 13 12 14 16 12 15 12 10 14 18 12 12 16 18 14 10 12 15 13 C memory 112 117 98 114 110 89 94 106 86 107 113 84 102 90 119 86 97 106 114 110
(Round calculated results to the hundredth (2nd place to the right of the decimal) when result extends
beyond that unless otherwise noted).
The data set for this question set (Tab Q1 in the Excel data file) comes from a research project that
tracks the elderly residents in a community to monitor their cognitive function and general health.
Based on the literature, education is considered a protective factor against dementia, and memory
decline is usually the first sign of dementia. So, the researchers would like to know whether education
level (measured in number of years of formal schooling) is correlated with memory function (a
standardized memory test score) in their sample of elderly residents.
Q1a. Create a scatter plot between the two variabloc ucin
Transcribed Image Text:(Round calculated results to the hundredth (2nd place to the right of the decimal) when result extends beyond that unless otherwise noted). The data set for this question set (Tab Q1 in the Excel data file) comes from a research project that tracks the elderly residents in a community to monitor their cognitive function and general health. Based on the literature, education is considered a protective factor against dementia, and memory decline is usually the first sign of dementia. So, the researchers would like to know whether education level (measured in number of years of formal schooling) is correlated with memory function (a standardized memory test score) in their sample of elderly residents. Q1a. Create a scatter plot between the two variabloc ucin
Expert Solution
Step 1

Data is given for education and memory : 

Education (x) 

Memory (y) 

First we will calculate mean for x and y

Mean = sum(x)/n 

Mx = 272/20  = 13.6

My = 2054/20 = 102.7

Than we will prepare table : 

 

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