# Coefficient of Determination Calculator

An online calculator to find the correlation coefficient, coefficient of determination (r-squared) value which states the relationship between two data series and how well the model predicts the future outcomes.

## Calculate R-Squared (r^{2}) Value

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#### Formula:

Correlation Coefficient ( r ) = N x ∑ XY - ( ∑ X ) ( ∑ Y ) / √ N x ( ∑ X^{2} - ( ∑ X )^{2} √ N x ( ∑ Y^{2} - ( ∑ Y )^{2}
Coefficient of Determination ( r^{2} ) = r x r.
The coefficient of determination, denoted as r^{2} (R squared), indicates the proportion of the variance in the dependent variable which is predictable from the independent variables. Coefficient of determination is the primary output of regression analysis. In this online Coefficient of Determination Calculator, enter the X and Y values separated by comma to calculate R-Squared (R2) value. The calculator uses the Pearson's formula to calculate the correlation of Determination R-squared (r^{2}) and Correlation Coefficient R value. Pearson's formula is a statistical formula formulated to determine the relationship strength between two variables or relationships.