Log odds ratio
One downside to probabilities and odds ratios for logistic regression predictions is that the prediction lines for each are curved. This makes it harder to reason about what happens to the prediction when you make a change to the explanatory variable. The logarithm of the odds ratio (the "log odds ratio") does have a linear relationship between predicted response and explanatory variable. That means that as the explanatory variable changes, you don't see dramatic changes in the response metric - only linear changes.
Since the actual values of log odds ratio are less intuitive than (linear) odds ratio, for visualization purposes it's usually better to plot the odds ratio and apply a log transformation to the y-axis scale.
mdl_churn_vs_relationship, explanatory_data, and plt_churn_vs_relationship are available and dplyr is loaded.
This exercise is part of the course
Introduction to Regression in R
Hands-on interactive exercise
Have a go at this exercise by completing this sample code.
# Update the data frame
prediction_data <- explanatory_data %>%
mutate(
has_churned = predict(mdl_churn_vs_relationship, explanatory_data, type = "response"),
odds_ratio = has_churned / (1 - has_churned),
# Add the log odds ratio from odds_ratio
log_odds_ratio = ___,
# Add the log odds ratio using predict()
log_odds_ratio2 = ___
)
# See the result
prediction_data