A physical education instructor administered a leadership aptitude survey and ranked the scores (X) of the 15 students. A tennis tournament was held for the same students and their order of finish is shown below (Y). Calculate the correlation between leadership aptitude and the finish in the tennis tournament.
$$\begin{array} { | l | l | l | l | }
\hline \text { Student } & \boldsymbol { X } & \boldsymbol { Y } & \
\hline & & & \
\hline 1 & 1 & 9 & \
\hline 2 & 2 & 10 & \
\hline 3 & 3 & 3 & \
\hline 4 & 4 & 12 & \
\hline 5 & 5.5 & 5 & \
\hline 6 & 5.5 & 1 & \
\hline 7 & 7 & 15 & \
\hline 8 & 8 & 13 & \
\hline 9 & 9 & 8 & \
\hline 10 & 10 & 11 & \
\hline 11 & 11 & 2 & \
\hline 12 & 12 & 7 & \
\hline 13 & 13 & 4 & \
\hline 14 & 14 & 6 & \
\hline 15 & 15 & 14 & \
\hline
\end{array}$$

Question

A physical education instructor administered a leadership aptitude survey and ranked the scores (X) of the 15 students. A tennis tournament was held for the same students and their order of finish is shown below (Y). Calculate the correlation between leadership aptitude and the finish in the tennis tournament.
 $$\begin{array} { | l | l | l | l | } 
\hline \text { Student } & \boldsymbol { X } & \boldsymbol { Y } & \
\hline & & & \
\hline 1 & 1 & 9 & \
\hline 2 & 2 & 10 & \
\hline 3 & 3 & 3 & \
\hline 4 & 4 & 12 & \
\hline 5 & 5.5 & 5 & \
\hline 6 & 5.5 & 1 & \
\hline 7 & 7 & 15 & \
\hline 8 & 8 & 13 & \
\hline 9 & 9 & 8 & \
\hline 10 & 10 & 11 & \
\hline 11 & 11 & 2 & \
\hline 12 & 12 & 7 & \
\hline 13 & 13 & 4 & \
\hline 14 & 14 & 6 & \
\hline 15 & 15 & 14 & \
\hline
\end{array}$$

Quizplus · Accepted Answer

The Answer of A physical education instructor administered a leadership aptitude survey and ranked the scores (X) of the 15 students. A tennis tournament was held for the same students and their order of finish is shown below (Y). Calculate the correlation between leadership aptitude and the finish in the tennis tournament.
 $$\begin{array} { | l | l | l | l | } 
\hline \text { Student } & \boldsymbol { X } & \boldsymbol { Y } & \
\hline & & & \
\hline 1 & 1 & 9 & \
\hline 2 & 2 & 10 & \
\hline 3 & 3 & 3 & \
\hline 4 & 4 & 12 & \
\hline 5 & 5.5 & 5 & \
\hline 6 & 5.5 & 1 & \
\hline 7 & 7 & 15 & \
\hline 8 & 8 & 13 & \
\hline 9 & 9 & 8 & \
\hline 10 & 10 & 11 & \
\hline 11 & 11 & 2 & \
\hline 12 & 12 & 7 & \
\hline 13 & 13 & 4 & \
\hline 14 & 14 & 6 & \
\hline 15 & 15 & 14 & \
\hline
\end{array}$$

A Physical Education Instructor Administered a Leadership Aptitude Survey and Ranked