.. _auto_curve_compute_r2:

*COMPUTE R2 BETWEEN A REFERENCE CURVE AND A COMPARISON CURVE*
=============================================================

Computes the coefficient of determination (R²) between a reference curve and a comparison curve. The comparison curve is linearly interpolated onto the reference curve's x-points within the overlapping x-range before R² is calculated. Use this worker to quantify how well a simulation or fitted curve reproduces a baseline/ground-truth signal.

When to use
-----------

Classification: **process**.

Tagged: ``coefficient_of_determination``, ``curve_comparison``, ``goodness_of_fit``, ``interpolation``, ``r2``, ``sim_vs_test``.

Inputs
------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20 20 20

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Reference Curve
     - reference_curve
     - vector
     - —
     - 
     - Baseline or ground-truth curve (x/y vector) against which the comparison curve is evaluated; defines the x-points and y-values used as the denominator in the R² formula.
   * - Comparison Curve
     - comparison_curve
     - vector
     - —
     - 
     - Fit, simulation, or processed curve (x/y vector) being evaluated; it is linearly interpolated onto the reference curve's x-points within the overlapping x-range before R² is computed.

Outputs
-------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20

   * - Label
     - ID
     - Type
     - Description
   * - R2
     - curve_compute_r2_output
     - scalar
     - Scalar R² value (dimensionless, range −∞ to 1.0) representing the goodness of fit of the comparison curve relative to the reference curve; a value of 1.0 indicates a perfect match.

Disciplines
-----------

- data.correlation
- data.curve.pair
- data.statistics

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curve_compute_r2</code>. Schema hash: <code>398e8add99fb</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
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