Consider the data set shown below. Find the Spearmanʹs Rank Correlation for the variables x and y. $\begin{array}{c|ccccccc}
\mathrm{y} & 0 & 4 & 2 & 3 & 8 & 10 & 11 \
\hline \mathrm{x} & -2 & 0 & 2 & 4 & 6 & 8 & 10
\end{array}$

A) $r _ { S } = 0.7972$
B) $r _ { S } = 1.000$
C) $\mathrm { r } _ { \mathrm { S } } = - 0.8929$
D) $\mathrm { r } _ { \mathrm { S } } = 0.8929$

Question

Consider the data set shown below. Find the Spearmanʹs Rank Correlation for the variables x and y. $\begin{array}{c|ccccccc}
\mathrm{y} & 0 & 4 & 2 & 3 & 8 & 10 & 11 \
\hline \mathrm{x} & -2 & 0 & 2 & 4 & 6 & 8 & 10
\end{array}$

A) $r _ { S } = 0.7972$
B) $r _ { S } = 1.000$
C) $\mathrm { r } _ { \mathrm { S } } = - 0.8929$
D) $\mathrm { r } _ { \mathrm { S } } = 0.8929$

Quizplus · Accepted Answer

The ranks of x and y are perfectly correlated, resulting in a high positive Spearman's rank correlation coefficient of 0.8929.

Consider the Data Set Shown Below y042381011x−20246810\begin{array}{c|ccccccc}\mathrm{y} & 0 & 4 & 2 & 3 & 8 & 10 & 11 \\\hline \mathrm{x} & -2 & 0 & 2 & 4 & 6 & 8 & 10\end{array}yx​0−2​40​22​34​86​108​1110​​

Consider the Data Set Shown Below $\begin{array}{c|ccccccc}\mathrm{y} & 0 & 4 & 2 & 3 & 8 & 10 & 11 \\\hline \mathrm{x} & -2 & 0 & 2 & 4 & 6 & 8 & 10\end{array}$