.. _auto_curves_regression_coefficient:

* COMPUTE THE REGRESSION_COEFFICIENT BETWEEN CURVES*
====================================================

Computes the regression coefficient (R²) between two curves, quantifying how well one curve predicts the other. Use this worker to measure the goodness-of-fit or linear correlation between a base curve and a second reference curve.

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

Classification: **process**.

Tagged: ``correlation``, ``curve_comparison``, ``curves``, ``goodness_of_fit``, ``r_squared``, ``regression_coefficient``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curve 1
     - curve1
     - vector
     - —
     - 
     - Base (reference) curve against which the regression coefficient is computed; accepts a vector of (x, y) pairs.
   * - Curve 2
     - curve2
     - vector
     - —
     - 
     - Second curve to compare against the base curve; accepts a vector of (x, y) pairs and should share the same x-axis domain as Curve 1.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - curves_regression_coefficient_output_1
     - curves_regression_coefficient_output_1
     - scalar
     - Scalar regression coefficient (R²) value in the range [0, 1] representing how closely Curve 2 matches Curve 1; a value of 1 indicates a perfect fit.

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

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

Runnable example
----------------

A runnable example is registered for this worker. Open the example workflow on the d3VIEW canvas: `/api/workflow/example?id=curves_regression_coefficient <https://www.d3view.com/api/workflow/example?id=curves_regression_coefficient>`_

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curves_regression_coefficient</code>. Schema hash: <code>79dbe601af31</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
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