The Results for Several Randomly Selected Students for Test 1

Essay

The results for several randomly selected students for test 1 and test 2 grades are given
below. $\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|}\hline \text { Test 1 } & 59 & 63 & 65 & 69 & 58 & 77 & 76 & 69 & 70 & 64 \\\hline \text { Test 2 } & 72 & 67 & 78 & 82 & 75 & 87 & 92 & 83 & 87 & 78 \\\hline\end{array}$

Is there sufficient evidence to suggest that there is a linear correlation between test 1 and test 2 grades? Construct a scatterplot, and find the value of the linear correlation coefficient $r$ . Also, find the $P$ -value or the critical value(s) of $r$ using $\alpha = 0.05$ .