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6.47 6.13 6.19 4.89 5.63 4.52 5.89 4.03 3.76 3.77 3.34 3.47 2.92 3.20

6.47 6.13 6.19 4.89 5.63 4.52 5.89 4.03 3.76 3.77 3.34 3.47 2.92 3.20

MATLAB: An Introduction with Applications
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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Is the correlation about 0.02, 0.22, or 0.92 with the outlier? 
 
Without this outlier, is the correlation about 0.18, 0.78, or 0.98? 
 
Is the outlier is an influential point to the correlation?
 
Data from a British government survey of household spending may be used to examine the relationship between household spending on tobacco products and alcoholic beverages. Data show weekly spending on alcohol vs. spending on tobacco in the 11 regions of Great Britain. Region North Yorkshire Northeast East Midlands West Midlands East Anglia Southeast Southwest Wales Scotland Northern Ireland Alcohol 6.47 6.13 6.19 4.89 5.63 4.52 5.89 4.79 5.27 6.08 4.02 Tobacco 4.03 3.76 3.77 3.34 3.47 2.92 3.20 2.71 3.53 4.51 4.56
Transcribed Image Text:Data from a British government survey of household spending may be used to examine the relationship between household spending on tobacco products and alcoholic beverages. Data show weekly spending on alcohol vs. spending on tobacco in the 11 regions of Great Britain. Region North Yorkshire Northeast East Midlands West Midlands East Anglia Southeast Southwest Wales Scotland Northern Ireland Alcohol 6.47 6.13 6.19 4.89 5.63 4.52 5.89 4.79 5.27 6.08 4.02 Tobacco 4.03 3.76 3.77 3.34 3.47 2.92 3.20 2.71 3.53 4.51 4.56
Expert Solution
Introduction

 

We know  that correlation coefficient is statistical indicator of the degree of the association between the 

relative movements of two variables.

correlation coefficient has range between -1 to 1.

We can calculate it as

r=∑(xi-x¯)(yi-y¯)∑(xi-x¯)2∑(yi-y¯)2 

 

 

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