Logistic regression
Definition of the odds

The odds of the dependent variable equaling a case (given some linear combination x {\displaystyle x} of the predictors) is equivalent to the exponential function of the linear regression expression. This illustrates how the logit serves as a link function between the probability and the linear regression expression. Given that the logit ranges between negative and positive infinity, it provides an adequate criterion upon which to conduct linear regression and the logit is easily converted back into the odds.

So we define odds of the dependent variable equaling a case (given some linear combination x {\displaystyle x} of the predictors) as follows:
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