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\section{More Detail} \subsection{What function are we fitting?} 
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{L(\beta)} = \prod_{i=1}^np(x_i)^{y_i}(1-p(x_i))^{1-y_i}  \end{equation}  We could substitute the equation for \textit{p} from above but we will not here. Thie form of the likelihood function, which is the same as the distribution of the response, reflects the fact that we assume the response follows a \textit{binomial distribution}.