Karl Pearson's Coefficient of Correlation

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Karl Pearson's coefficient of correlation, often referred to as Pearson's correlation coefficient, is denoted by 𝑟r. It measures the linear relationship between two variables, providing insights into how closely the changes in one variable predict changes in another. The coefficient's value ranges from -1 to +1:

• +1 indicates a perfect positive linear relationship.

• -1 indicates a perfect negative linear relationship.

• 0 indicates no linear relationship between the variables.
  

The formula calculates the degree of linear relationship between two variables 𝑋X and 𝑌Y, giving a value between -1 and 1:

• +1 or -1 indicates a perfect linear relationship.

• A positive value implies a positive correlation, meaning that as 𝑋X increases, 𝑌Y also increases, and vice versa.

• A negative value indicates a negative correlation, meaning that as 𝑋X increases, 𝑌Y decreases, and vice versa.

• 0 indicates no linear correlation between the variables.
  

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