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Study Note/Data Analysis

The Pearson correlation coefficient

by jhleeatl 2024. 5. 13.

The Pearson correlation coefficient is a statistical method used to measure the linear relationship between two variables. It typically describes how two variables move together.

 

The Pearson correlation coefficient ranges from -1 to 1, and it is interpreted as follows:

- Close to 1: Indicates a strong positive linear relationship between the two variables. As one variable increases, the other variable tends to increase as well.
- Close to -1: Indicates a strong negative linear relationship between the two variables. As one variable increases, the other variable tends to decrease.
- Close to 0: Indicates little to no linear relationship between the two variables.

The Pearson correlation coefficient is calculated using the following formula:

 



Where 𝑟 represents the Pearson correlation coefficient, 𝑋𝑖 and 𝑌𝑖 are individual observation values of variables 𝑋 and 𝑌, and 𝑋ˉ and 𝑌ˉ are the means of variables 𝑋 and 𝑌, respectively.

 

 

 

 

 

 

 

 

 

https://www.questionpro.com/blog/pearson-correlation-coefficient/

 

Pearson Correlation Coefficient: Calculation + Examples

Learn about the Pearson correlation coefficient and know how to measure the relationship between two related variables using it. Calculation and examples.

www.questionpro.com

 

 

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