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R Squared

Free R Squared calculator with clear step-by-step results.

About R Squared

A simplified single-point illustration of explained variance.

Formula

Formula

R² = 1 − (residual² ÷ total variance)

Worked example

With the default values below, R Squared returns R² of 0.920. Change any input above and every figure here is recalculated in your browser.

Inputs used

Observed valueminimum 0
12
Predicted valueminimum 0
10
Total varianceminimum 0
50

Results

R²
0.920
Residual
2.000
Explained Share
92.0%

Step by step

  1. 1Values used
  2. 2Formula
  3. 3R²= 0.920
  4. 4Residual= 2.000
  5. 5Explained Share= 92.0

Assumptions and limits

  • The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How does this calculator work?

A simplified single-point illustration of explained variance.

Why does this matter?

True R² needs a full dataset fit.

Related Calculators

R Squared – Calculate R² & Residual | Calcrivo