Partial regression plots are useful for which of the following reasons?
A)They have a slope equal to the coefficient value.
B)They can help you judge whether a re-expression of a predictor is needed.
C)They can help you identify outliers and influential points.
D)They have a direction that corresponds to the sign of its multiple regression coefficient.
E)All of the above.

Question

Quizplus · Accepted Answer

Partial regression plots, also known as added variable plots, are useful for multiple reasons: they indeed have a slope equal to the partial regression coefficient (A), which makes them valuable for assessing the individual effect of a predictor variable on the response variable, holding other variables constant. They can help in judging whether re-expression of a predictor might improve the model (B), for example, by suggesting nonlinear transformations if the relationship is not linear. They are also useful for identifying outliers and influential points (C), as these can have a significant impact on the regression line. Lastly, the direction of the slope in a partial regression plot corresponds to the sign of its multiple regression coefficient (D), providing a visual representation of the relationship's direction.

Partial Regression Plots Are Useful for Which of the Following