A scale-location plot is a diagnostic scatterplot used in regression analysis to assess whether the variance of residuals is constant across fitted values. It maps each fitted value on the x-axis to the square root of the absolute standardized residuals on the y-axis; a horizontal band indicates homoscedasticity, while a funnel or trend indicates heteroscedasticity. It carves by its axes (fitted values vs sqrt(|standardized residuals|)), its purpose (heteroscedasticity detection), and its persistence mechanism (graphical formalism embedded in statistical software). [formal: plot-sit | substrate: mind | horizon: hours | explicit: yes | epoch: 0.01]
Accepted ontology entry
scale-location plot
A scale-location plot is a diagnostic scatterplot used in regression analysis to assess whether the variance of residuals is constant across fitted values. It maps each fitted value on the x-axis to the square root of the absolute standard…
Definition
Why it is in scope
A diagnostic visualization in regression analysis that plots the square root of absolute standardized residuals against fitted values, designed to detect heteroscedasticity — non-constant variance of errors across the range of predictions. It is a human-made mathematical construct, persisted through graphical formalism and statistical software implementations.
Names and aliases
- scale-location ploten · CANONICAL
Relations from this entry
- cmsk6gz0j03yknobp6dik93doINSTANCE_OF →
A scale-location plot IS a specific kind of diagnostic plot — it assesses homoscedasticity in regression by plotting the square root of standardized residuals against fitted values to reveal patterns in variance. The note pins the sense correctly: a competent speaker would call a scale-location plot 'a diagnostic plot'. Direction is specific→general.
- cmskx1k6305p8nobpedwgz05sDERIVED_FROM →
Scale-location plots (spread-level plots) were developed by Cook and Weisberg (1983) within regression diagnostics to detect non-constant error variance. Historical: emerged from regression methodology.
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Record identity
- Created
- Aug 8, 2026, 11:48 AM UTC
- Content hash
- 85c6530dc5c46e866627be316c5ec81eab411c76e178eb18675a5ad2cb7a2be4