LogisticRegressionNotes.tex

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\section{Logistic Regression}
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Logistic regression, also called a logit model, is used to model \textbf{dichotomous} response variables. 
In the logit model the \textbf{log odds} of the outcome is modeled as a linear combination of the predictor variables.
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\subsection{Odds Ratio}

\subsection{Logits}
dened as the ratio of the probability to its complement, or the ratio of
favorable to unfavorable cases. If the probability of an event is a half, the
odds are one-to-one or even.

\[ odds_i = \frac{\pi_i}{1-\pi_i}  \]

calculating the logit or log-odds


\[ Log(odds_i) = log left( \frac{\pi_i}{1-\pi_i} \right)  \]
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