Coefficient of Determination Calculator

Calculate R² from observed and predicted values.

Description

Calculate R² from paired observed and predicted values.

Coefficient of Determination Calculator is a focused tool for the following task. Calculate R² from paired observed and predicted values. It reports R² from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.

When to use Coefficient of Determination

Use this calculation to reproduce a defined quantitative method when the observations, units, sampling process, and assumptions match the method shown here.

Observed values
Required list.
Predicted values
Required list.

The cited overview of Coefficient of determination supplies background for the terminology and domain context used by this tool.1

How Coefficient of Determination works

Calculate R² from paired observed and predicted values. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

R²
Returned number.

Limitations and assumptions

  • A numerical result does not by itself establish data quality, causation, representativeness, independence, distributional fit, or practical significance.
  • Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Alternative or Complementary approaches

Inspect the underlying data, visualize its distribution, report uncertainty and sample size, and compare the result with a robust or domain-specific method where appropriate.

References

  1. Coefficient of determination — Wikipedia contributors

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