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Example Question Using Covariance Formula$\newline$Question: The table below describes the rate of economic growth (xi) and the rate of return on the S\&P $500\left(y_{i}\right)$. Using the covariance formula, determine whether economic growth and S\&P $500$ returns have a positive or inverse relationship. Before you compute the covariance, calculate the mean of $x$ and $y$.$\newline$\begin{tabular}{|l|l|}$\newline$\hline \begin{tabular}{l} $\newline$Economic Growth \% \\$\newline$$\left(x_{i}\right)$$\newline$\end{tabular} & \begin{tabular}{l} $\newline$S\&P $500$ Returns \% \\$\newline$$\left(y_{i}\right)$$\newline$\end{tabular} \\$\newline$\hline $2$.$1$ & $8$ \\$\newline$\hline $2$.$5$ & $12$ \\$\newline$\hline $4$.$0$ & $14$ \\$\newline$\hline $3$.$6$ & $10$ \\$\newline$\hline$\newline$\end{tabular}$\newline$$x=2.1,2.5,4.0$, and $3$.$6$ (economic growth)$\newline$$y=8,12,14$, and $10$ (S\&P $500$ returns)$\newline$Find $\bar{x}$ and $\bar{y}$.