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partial regression plot

A partial regression plot (also called an added-variable plot) is a scatter plot that visualizes the marginal relationship between a single predictor and the response in a multiple regression model, after removing the linear effects of all…

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Definition

A partial regression plot (also called an added-variable plot) is a scatter plot that visualizes the marginal relationship between a single predictor and the response in a multiple regression model, after removing the linear effects of all other predictors. It is constructed by computing two residual quantities: (1) the residuals of the response variable regressed on all predictors except the one of interest, and (2) the residuals of that predictor regressed on all remaining predictors. Plotting the first against the second, the slope of the ordinary least squares line through the points equals the coefficient of that predictor in the full model. The plot reveals nonlinearity, heteroscedasticity, outliers, and the strength and direction of the adjusted relationship. [formal: grāfica residuōrum partialium | substrate: mind | horizon: a moment | explicit: yes | epoch: 0.01]

Why it is in scope

A partial regression plot is a human-made statistical visualization tool used in regression analysis. It displays the relationship between a response variable and a single predictor variable after accounting for the effects of all other predictors in the model, allowing visual assessment of linearity, outliers, and the marginal contribution of each predictor.

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Relations from this entry

  • cmsk6gz0j03yknobp6dik93doINSTANCE_OF →

    A partial regression plot IS a specific kind of diagnostic plot — it diagnoses regression models by visualizing the adjusted relationship between a predictor and response, revealing nonlinearity and outliers in model residuals. Direction: specific→general.

  • cmsdai2d503n23vv3e00xn5baDEPENDS_ON →

    Partial regression plots visualize the contribution of individual predictors within a regression model. Remove regression and the plot has no framework to operate — it cannot be computed, interpreted, or displayed.

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Created
Aug 8, 2026, 2:39 PM UTC
Content hash
e6d313c8a5c0a340dd10ac1bf8f81675e38c26a9a355896679e3f3751b1865c6

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