Question\begin{enumerate} \item An office manager wants to determine if there is a relationship between the number of hours each week employees exercise and the number of sick days that they take each year. The data for the number of hours of exercise and sick days is given as follows: \begin{itemize} \item Hours of exercise: 1.5, 3, 2, 3.5, 2, 3.5, 4, 4.5, 2.5 \item Sick days: 16, 5, 9, 4, 12, 3, 2, 2, 11 \end{itemize} \item Find the correlation coefficient, $r$. Round values to the nearest thousandth. \item Use the correlation coefficient and the scatter plot to determine if a relationship exists between these variables. Interpret this relationship. \item Can it be determined that this relationship is a cause-and-effect relationship? Why or why not? Are there other reasons this relationship might exist? If so, list some of these reasons. \end{enumerate}