Calculate Karl Pearson's coefficient of correlation between \( x \)...

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Calculate Karl Pearson's coefficient of correlation between \( x \) and \( y \) for the following data :
\begin{tabular}{|c|c|c|c|c|c|c|c|c|}
\hline\( X \) & 6 & 2 & 4 & 9 & 1 & 3 & 5 & 8 \\
\hline\( Y \) & 13 & 8 & 12 & 15 & 9 & 10 & 11 & 16 \\
\hline
\end{tabular}
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