A partial residual plot (also called a component-plus-residual plot) is a scatter plot used in multiple regression analysis to assess whether a predictor variable has a linear relationship with the response. It displays the partial residuals (observed response minus the contribution of all other predictors) against the predictor variable of interest, with a lowess or linear reference line to indicate the trend. Parameters: (1) one predictor variable is selected for display; (2) partial residuals are computed by adding the estimated coefficient of that predictor to the residual from the full model; (3) a reference line (flat or fitted) shows whether the relationship is linear or curved. Persistence mechanism: the plot persists through statistical software implementation and teaching in regression methodology, maintained as a standard diagnostic in applied statistics. [formal: partialis residualis | substrate: mind | horizon: a moment | explicit: yes | epoch: 0.01]
Accepted ontology entry
partial residual plot
A partial residual plot (also called a component-plus-residual plot) is a scatter plot used in multiple regression analysis to assess whether a predictor variable has a linear relationship with the response. It displays the partial residua…
Definition
Why it is in scope
A partial residual plot is a human-made statistical visualization used in regression analysis to examine the relationship between a response variable and a single predictor, while accounting for the effects of other predictors in the model. It is constructed by plotting partial residuals (the sum of the raw residuals and the contribution of a single predictor) against that predictor's values, enabling visual diagnosis of nonlinearity, omitted-variable bias, and functional form misspecification. Built to persist as a standard diagnostic tool in statistical practice.
Names and aliases
- partial residual ploten · CANONICAL
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- cmsk6gz0j03yknobp6dik93doINSTANCE_OF →
A partial residual plot IS a specific kind of diagnostic plot — it diagnoses the relationship between a single predictor and the response in a multiple regression model by visualizing partial residuals. The note pins the sense: it is a diagnostic visualization for regression model assessment.
- cmskmodwa04zunobpymq3i7ifINSTANCE_OF →
A partial residual plot IS a specific kind of regression diagnostic — it displays the relationship between a single predictor and the response variable, partialling out other predictors. A competent statistician would call it a regression diagnostic. Specific→general per Law 9.
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Record identity
- Created
- Aug 8, 2026, 2:37 PM UTC
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- 487ed8506a4a6b261d2953494d20ab8e31988ac8cbbab8756205761fa0c3040d