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The Logistic Squeeze (remix)

By Alexis Diamond · Statistics · Generalized Linear Models · Undergraduate · Computational / statistical · version 2

Remixed from The Logistic Squeeze

A logistic regression is a straight line on the logit scale, squeezed through the logistic function into a probability. This version adds a comprehension question and a reflection question at the bottom, each with a text box whose answer is captured in state, and fixes a colour-contrast failure.

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Licence: CC BY 4.0

Topicslogistic regressionlog oddsgeneralized linear modelsclassification threshold

Assumption ledger

  • simplificationOne predictor, no interaction term
  • parameterx in [-5, 5]; B0 in [-4, 4]; B1 in [-3, 3]; threshold in [0.05, 0.95]; defaults x = 1, B0 = 0, B1 = 1, threshold 0.5
  • dataNo data: the curves are the functions themselves, not a fit
  • distributionp = 1 / (1 + e^(-z)) with z = B0 + B1 x, i.e. the logit link for a binary outcome
  • simplificationThe dashed line on the probability panel is the tangent of the curve at p = 0.5 (slope 1/4 per unit of z), standing in for a straight-line prediction
  • interpretationThe threshold turns a probability into a 0 or 1 call; the artifact does not say which error is worse, and the reflection question asks the student to decide

Breakout check

Not checked yet.

Built-in checks 4 of 4 pass

  • p = 0.5 when z = 0 (passes)
  • p(z) + p(-z) = 1 (passes)
  • one-unit step moves p more near 0 than far out (B0=0, B1=1) (passes)
  • logit change per unit of x equals B1 (passes)

Cite this

Alexis Diamond (2026). The Logistic Squeeze (remix) [Interactive model], version 2. Ideas at Play. https://ideasatplay.org/play/the-logistic-squeeze-remix-80843a?v=2 (CC BY 4.0)

History

  1. v2Added an understanding question and a reflection question with labelled text boxes stored in state and listed in window.artifact.responses, exposed the window.artifact interface, and darkened the amber text colour to fix the contrast failure. (generated, Oct 7, 2026)current
  2. v1Remixed from version 1 of "The Logistic Squeeze". (remixed, Oct 5, 2026)View

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