Find the correlation coefficient r for the data set below.T =I35y5196779 13

The given data is as follows, X Y 3 5 5 1 6 9 7 7 9 13 The formula for the…

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Find the correlation coefficient r for the data set below. T = 3 5 6 7 9 y 5 1 9 7 13

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

Find the correlation coefficient r for the data set below.
T =
I
3
5
y
5
1
9
6
7
7
9 13

Expert Solution

Step 1

The given data is as follows,

$X$	$Y$
3	5
5	1
6	9
7	7
9	13

The formula for the correlation coefficient is as follows,

$r = \frac{n \times \sum_{}^{} X Y - \sum_{}^{} X \sum_{}^{} Y}{\sqrt{[n \sum_{}^{} X^{2} - {(\sum_{}^{} X)}^{2}] [n \sum_{}^{} Y^{2} - {(\sum_{}^{} Y)}^{2}]}}$

$n$ is the sample size

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