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The Results for Several Randomly Selected Students for Test 1

question 21

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The results for several randomly selected students for test 1 and test 2 grades are given below.
 Test 1 59636569587776697064 Test 2 72677882758792838778\begin{array} { | c | l | l | l | l | l | l | l | l | l | l | } \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 α=0.05\alpha = 0.05


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