partial regression plot

On the other hand, for the partial regression plot, the x-axis is not X.

Partial regression plots are related to, but distinct from, partial residual plots.

In applied statistics, a partial regression plot attempts to show the effect of adding another variable to a model already having one or more independent variables.

Partial regression plots are formed by:

Partial regression plots are widely discussed in the regression diagnostics literature (e.g., see the References section below).

Note that the partial leverage is the leverage of the i point in the partial regression plot for the j variable.

Since the strengths and weaknesses of partial regression plots are widely discussed in the literature, it is not discussed in any detail here.

Partial regression plots are most commonly used to identify data points with high leverage and influential data points that might not have high leverage.

Partial regression plots are also referred to as added variable plots, adjusted variable plots, and individual coefficient plots.

Note that since the simple correlation between the two sets of residuals plotted is equal to the partial correlation between the response variable and X, partial regression plots will show the correct strength of the linear relationship between the response variable and X.