ompute the Pearson Product-Moment Correlation for the following: x y
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Compute the Pearson Product-Moment
x y
2 4
6 3
7 5
6 5
5 7
7 8
9 5
8 3
4 6
6 2
Expert Solution
Step 1
Given : n=10 , ƩX=60 , ƩY=48 , ƩX2=396 , ƩY2=262 , ƩXY=287
X-bar=ƩX/n=60/10=6
Y-bar=ƩY/n=48/10=4.8
σ 2X=(ƩX2/n)-(X-bar)2=(396/10)-6^2=3.6
σ 2Y=(ƩY2/n)-(Y-bar)2=(262/10)-4.8^2=3.16
Cov(X,Y)=(ƩXY/n)-(X-bar)*(Y-bar)=(287/10)-6*4.8=-0.1
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