What are the limitations of using Pearson's correlation coefficient to measure the relationship between two variables?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.CR: Chapter 1 Review
Problem 11CR: CONCEPT CHECK Determine whether each statement is true or false, and explain why. A correlation...
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What are the limitations of using Pearson's correlation coefficient to measure the relationship between two variables?
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Introduction

Pearson's correlation coefficient is a commonly used statistical method to measure the linear relationship between two continuous variables. It provides a value between -1 and 1 that indicates the strength and direction of the relationship. Despite its popularity, Pearson's correlation coefficient has certain limitations that must be considered when interpreting the results. In this answer, we will highlight some of the key limitations of using Pearson's correlation coefficient.

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