Coefficient of Determination Calculator

The coefficient of determination calculator is designed to compute the R-squared value of a given regression model.

X-values:

Y-values:

= Calculate

× Reset

The two lists must be of equal length.

Coefficient of Determination (R²):

Correlation Coefficient (r):

Interpretation:

How to Use the Coefficient of Determination Calculator?

1. First, enter the predictor (X) and observed (Y) values with a comma or space separator. Example: 5,10,15 or 5 10 15.
2. Press the 'Calculate' button.
3. Finally, the tool returns the coefficient of determination (R²) value associated with the given regression.
4. The tool also gives the correlation coefficient (r) value with interpretation.

How to Calculate R-squared (R²)?

The R-squared (R²) value is calculated using the following formula:

Where,
SSR = Sum of squared residuals,
SST = Total sum of squares,
y_i = Observed value,
ŷ_i = Predicted value,
ȳ = Mean (average) of the observed values.