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\begin{flushright}
Name \underline{\hspace{60mm}} \\ 
$\,$ \\
Student Number \underline{\hspace{60mm}}
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\begin{center}   
{\Large \textbf{STA 441s 2024 Quiz 8}}\\
\vspace{3 mm}
\end{center}

\begin{enumerate} 

\item  For the Diversity data, 
    \begin{enumerate} 
        \item (3 points) \label{pI} give the lower and upper 95\% prediction interval for employee 508. The answer is a pair of numbers. Write the two numbers in the space below. On your printout, circle the numbers and write ``Question~\ref{pI}" beside them. \vspace{20mm}
        \item (3 points) \label{peright} What percentage of of the observations in the replication sample were within the prediction interval? The answer is a number between zero and one hundred.  Write the number in the space below. On your printout, circle the number and write ``Question~\ref{peright}" beside it.  \vspace{20mm}
    \end{enumerate} 


\item For the Raptors data, you fit a first-order autoregressive model. Based on that model,
    \begin{enumerate} 
        \item (1 point) \label{ac1} What is the estimated first-order autocorrelation between the error terms? The answer is a number on your printout.  Write the number in the space below. On your printout, circle the number and write ``Question~\ref{ac1}" beside it. \vspace{20mm}
        \item (1 point) \label{home} You tested Home versus away game, controlling for Opponents' won-lost record, Days since last game, and Weekend versus weekday. Please fill in the table below

\begin{center}               
\begin{tabular}{|c|c|c|c|} \hline
$t$, $\chi^2$ or $F$ Statistic  & ~~~~~$p$-value~~~~~  & Reject $H_0$? & Statistically Significant? \\
 (a number)   &      (a number or range)      & (Yes or No)             & (Yes or No)                \\
\hline
  &  & & \\ 
  &  & & \\ \hline
\end{tabular}
\end{center} \vspace{1mm}
On your printout, circle the test statistic and write ``Question~\ref{home}" beside it.  


        \item (2 points) In plain, non-statistical language, what do you conclude from the test of Home versus away? Don't touch the time series issue. 

    \end{enumerate}


\end{enumerate} % End of all questions



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