FTB-C000636 / Formula component

Trendline Intercept

Trendline Intercept is the fitted log-price value at event index zero.

Definitions

In plain terms

The intercept anchors the model coordinate system even if no pivot exists at index zero.

Technical

intercept_log = a* in z_hat(t)=a*+b*t; exponentiating gives the line's price at index zero under the model.

Scope

An intercept is a coordinate parameter, not an observed support or resistance value.

Examples

  • A reviewer computes Trendline Intercept on a small deterministic fixture and checks timing, units, and boundary behavior before publication.

Common misconceptions

  • An intercept is a coordinate parameter, not an observed support or resistance value.

Concept relationships

Where this concept is used

Evidence and governance

  1. Linear Least Squares Regression NIST/SEMATECH · official standard

    Supports: preferred label, short definition, technical definition, formula

    Limits: A fitted line remains descriptive and is not evidence of a future price path.

  2. sklearn.linear_model.RANSACRegressor scikit-learn · first party technical publication

    Supports: preferred label, short definition, technical definition, formula

    Limits: This package enumerates every two-point hypothesis for small pivot sets instead of using random sampling.

  3. numpy.log NumPy · first party technical publication

    Supports: preferred label, short definition, technical definition, formula

    Limits: A log transform requires positive finite prices and does not by itself define a financial level.

  4. numpy.polyfit NumPy · first party technical publication

    Supports: preferred label, short definition, technical definition, formula

    Limits: The glossary freezes its own log-space OLS contract, diagnostics, and tie rules.

Reviewed by
fintech-builder-batch-011
Last reviewed
2026-08-09
Next review
2027-08-09
Record status
evidence reviewed

This record is evidence-reviewed and readable, but not yet promoted to published — it is served noindex,follow and excluded from the sitemap.

Written by

Fintech engineer building market-data and financial systems, and the author of every article, glossary record, and reference implementation on The Fintech Builder.