e-Statistics

# Logistic Regression

A particular combination of values in produces binary responses of either "yes" or "no" ("1" or "0") for different combinations, where the variables for 's are called explanatory variables or "predictor." For each combination, the responses are counted as and , and summarized in the following table.

 Predictor Response Response

The regression model

is called a logistic regression, where

called the logit function. Here represents the probability (or the proportion) of "yes" response in the following table.

 Predictor Proportion of "yes"