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Name \underline{\hspace{60mm}} \\ 
$\,$ \\
Student Number \underline{\hspace{60mm}}
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\begin{center}   
{\Large \textbf{STA 442/2101 F 2012 Quiz 8}}\\
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\begin{enumerate} 

    \item (5 Points) The distribution of a  random variable $Y$ is a member of the natural exponential family if it has density (or probability mass function) 
\begin{displaymath}
    f(y|\theta,\phi) = 
    \exp\left\{ \frac{y\theta-b(\theta)}{\phi} + c(y,\phi)\right\}.
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The quantity $\theta$ is the \emph{natural parameter} of the distribution, and $g(\mu)=\theta$ is the natural link function of a generalized linear model, where $\mu=E(Y)$.

For logistic regression, the response variable is Bernoulli($\pi$), and $\mu=\pi$. Show that the log odds (logit) is the natural link for this distribution. You may continue your answer onto the reverse side, but I hope you don't need to. 

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    \item (5 points) Attach your SAS log file and list file. Make sure your name is written on \emph{both} printouts.
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