Pearson Correlation Coefficient Calculator

Discover the linear relationship between two sets of data with this easy-to-use calculator. Visualize your data and understand the correlation strength.

Enter Your Data Sets

Input your datasets below, with values separated by commas. Ensure both datasets have the same number of values.

Dataset 1:

Dataset 2:

Correlation Result

Pearson Correlation Coefficient (r):

Data Visualization

Understanding Pearson Correlation Coefficient

The Pearson correlation coefficient, denoted as $ r $, measures the strength and direction of a linear relationship between two variables. It ranges from -1 to +1.

+1: Perfect positive correlation. As one variable increases, the other tends to increase.
0: No linear correlation. Changes in one variable are not related to changes in the other.
-1: Perfect negative correlation. As one variable increases, the other tends to decrease.

The formula for Pearson correlation coefficient is:

$$ r = \frac{\sum_{i=1}^{n}(x_i - \bar{x})(y_i - \bar{y})}{\sqrt{\sum_{i=1}^{n}(x_i - ar{x})^2} \sqrt{\sum_{i=1}^{n}(y_i - \bar{y})^2}} $$

Learn more about Pearson correlation coefficient on Wikipedia.