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\title{Stat 185 - A regression problem}
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\begin{document}
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% \noindent Most, but not necessarily all, of our final exam this Tuesday, July 18 will consist of problem that look like one of the following.

\begin{enumerate}     
	\item The figure below shows a scatter plot of 10K race time (in minutes) vs age for a random sample 100 racers in the Peachtree Road Race and the table 
	shows linear regression table for that same data. We are curious if there is a relationship between race time and age.
	\vspace{0mm}
	\begin{center}
		\includegraphics*[trim={0 75mm 0 20mm},clip,width=5in,height=2in]{regression_fit.pdf}
	\end{center}
	
	\begin{center}\begin{tabular}{rrrrr}
  \hline
 & Estimate & Std. Error & t value & Pr($>$$|$t$|$) \\ 
  \hline
(Intercept) & 15.3179  &  12.1447  & 1.261  &  0.210 \\ 
  height & 0.3763  &   0.2556  & 1.472  &  0.144 \\ 
   \hline
\end{tabular}\end{center}
	\vspace{0cm}
        \begin{enumerate}
        	\item Write down the hypothesis statement that we would check with this linear model.
             \item Write out the formula for linear model.
             \item What does the model predict for the race time of a runner who is 30 years old?
             \item State the conclusion of the hypothesis test from part (a).
        \end{enumerate}
     
\end{enumerate}

\end{document}  
