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

Question

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

Quizplus · Accepted Answer

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

The Results for Several Randomly Selected Students for Test 1