An influence plot is a diagnostic visualization in regression analysis that displays each observation's influence on the fitted model, typically plotting a measure of influence (such as Cook's distance) against the observation index or fitted values. Parameters: the regression model, the influence measure (Cook's distance, DFFITS, DFBETAS, or leverage), and conventionally a threshold line for flagging high-influence points. Observations whose influence exceeds the threshold are candidates for review — they may indicate data errors, model misspecification, or genuine extreme cases. Persistence: embedded in R's plot.lm() and statsmodels diagnostics; taught in regression analysis curricula; used in data cleaning and model validation workflows across statistics, econometrics, and machine learning. [formal: influentia | substrate: mind | horizon: a moment | explicit: yes | epoch: 0.01]
Accepted ontology entry
influence plot
An influence plot is a diagnostic visualization in regression analysis that displays each observation's influence on the fitted model, typically plotting a measure of influence (such as Cook's distance) against the observation index or fit…
Definition
Why it is in scope
Influence plot is a human-made statistical visualization that displays data points' leverage and influence on regression or other model fits — typically combining fitted values, residuals, and influence measures like Cook's distance or DFFITS into a single diagnostic plot so analysts can identify outliers and high-leverage observations that disproportionately affect model estimates.
Names and aliases
- influence ploten · CANONICAL
Relations from this entry
- cmsk6gz0j03yknobp6dik93doINSTANCE_OF →
An influence plot IS a specific kind of diagnostic plot — it visualizes how individual data points affect regression model estimates, used to diagnose model sensitivity and identify influential observations. The filer tested direction: influence plot is the specific case, diagnostic plot is the general category.
- cmsdai2d503n23vv3e00xn5baSERVES →
Influence plot IS built and maintained for the sake of regression analysis. Its designed purpose is to identify influential data points in regression models, quantifying how each observation affects coefficient estimates. The test: for whose sake? The plot serves regression — the servant (influence plot) points at the master (regression).
- cmskmodwa04zunobpymq3i7ifINSTANCE_OF →
An influence plot IS a specific kind of regression diagnostic. It combines leverage, residuals, and influence measures (like Cook's D) on a single plot to identify influential observations. A competent speaker would call it 'a regression diagnostic.' Direction: influence plot (specific) → regression diagnostic (general). Law 9.
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Record identity
- Created
- Aug 4, 2026, 9:00 AM UTC
- Content hash
- b45d4e8a7fc60574f21142217203e2ff88d9012595146b2a679e989f2da17552