.. _auto_curve_get_slope_vs_r2:

*GET SLOPE VS BEST FIT*
=======================

Divides a curve into a specified number of equal segments and computes the linear best-fit slope for each segment, outputting a new curve of slope vs. R² (coefficient of determination). Typically used to analyse how the tangent stiffness and linearity evolve along a stress–strain curve.

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

Classification: **process**.

Tagged: ``best_fit``, ``curve_analysis``, ``linear_fit``, ``r2``, ``segmentation``, ``slope``, ``stress_strain``, ``tangent_modulus``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curve
     - curve1
     - vector
     - —
     - 
     - Input XY curve to analyse — typically a stress-vs-strain curve (X = strain, Y = stress in consistent units); optional, but the worker produces no output if omitted.
   * - Number Of Segments
     - num_segments
     - float
     - 10
     - 
     - Number of equal-length segments into which the curve is divided before fitting; integer-valued float, default 10 (code falls back to 100 if unset) — increase for finer resolution, decrease for a coarser trend.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - curve_get_slope_vs_r2_output_1
     - curve_get_slope_vs_r2_output_1
     - vector
     - Output XY curve where X is the best-fit slope of each segment and Y is the corresponding R² goodness-of-fit value (0–1), enabling identification of regions with highly linear behaviour (R² ≈ 1) and their associated stiffness.

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

- data.curve.transform
- data.statistics
- engineering.material.characterization

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

A runnable example is registered for this worker. Open the example workflow on the d3VIEW canvas: `/api/workflow/example?id=curve_get_slope_vs_r2 <https://www.d3view.com/api/workflow/example?id=curve_get_slope_vs_r2>`_

.. raw:: html

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curve_get_slope_vs_r2</code>. Schema hash: <code>49a0b5c43c13</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
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