FTB-C000628 / Formula component

Two-Point Line Hypothesis

Two-Point Line Hypothesis is a candidate line defined by two distinct confirmed pivot event indexes.

Intermediate 1 linked topicEvidence-reviewed

Definitions

In plain terms

Every pair proposes one possible slope and intercept before consensus is scored.

Technical

For t_i != t_j, the hypothesis passes through (t_i, log p_i) and (t_j, log p_j); pair enumeration is deterministic.

Scope

A minimal pair is a hypothesis, not automatically the winning trendline.

Examples

  • A reviewer computes Two-Point Line Hypothesis on a small deterministic fixture and checks timing, units, and boundary behavior before publication.

Common misconceptions

  • A minimal pair is a hypothesis, not automatically the winning trendline.

Concept relationships

Prerequisites

Related

Required by

Where this concept is used

Evidence and governance

  1. Random Sample Consensus: A Paradigm for Model Fitting Fischler and Bolles · first party technical publication

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

    Limits: The original applications are image analysis and cartography, not financial trendlines.

  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. 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.

  4. 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.

  5. 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.