10.2 Intuition

• In essence, a CP profile shows the dependence of the conditional expectation of the dependent variable (response) on the values of the particular explanatory variable.

• Figure 10.1 Panel A presents a 3D visualization, where $x$ is the age, $y$ is the response (prediction probability), and $z$ is the class factor for the ‘titanic_lmr’ logistic regression model.

• In the same figure, Panel B illustrates CP profiles for individual variables, age (continuous) and class (categorical).

Source: Figure 10.1