A Sample of Eight Observations of Variables X and Y

Essay

A sample of eight observations of variables x and y is shown below: $$\begin{array} { | l | r | r | r | r | r | r | r | r | } \hline x & 5 & 3 & 7 & 9 & 2 & 4 & 6 & 8 \\\hline y & 20 & 23 & 15 & 11 & 27 & 21 & 17 & 14 \\\hline\end{array}$$ Calculate the covariance and the coefficient of correlation, and comment on the relationship between X and Y.