Consider the data set shown. The mean X value is 6 and the mean Y value is 5.
$\begin{array}{|ll|}
\hline \underline{X} & \underline{y} \
2 & 3 \
4 & 5 \
6 & 6 \
7 & 8 \
8 & 6 \
9 & 8 \
\hline
\end{array}$
-What would the Spearman's rank correlation coefficient be for this data set?

Question

Consider the data set shown. The mean X value is 6 and the mean Y value is 5.
 $\begin{array}{|ll|}
\hline \underline{X} & \underline{y} \
2 & 3 \
4 & 5 \
6 & 6 \
7 & 8 \
8 & 6 \
9 & 8 \
\hline
\end{array}$
-What would the Spearman's rank correlation coefficient be for this data set?

Quizplus · Accepted Answer

Spearman's rank correlation coefficient requires ranking each set of values, then calculating the correlation based on these ranks. For this data set, the ranks for X and Y values, respectively, are as follows: X: 1, 2, 3, 4, 5, 6 Y: 1, 2, 3.5, 5.5, 3.5, 5.5 The differences in ranks (d) and their squares (d^2) are then calculated. Summing these squared differences and applying them to the Spearman's rank correlation formula gives a coefficient of 0.857, indicating a strong positive correlation between X and Y.

Consider the Data Set Shown X‾y‾234566788698\begin{array}{|ll|}\hline \underline{X} & \underline{y} \\2 & 3 \\4 & 5 \\6 & 6 \\7 & 8 \\8 & 6 \\9 & 8 \\\hline\end{array}X​246789​y​356868​​

Consider the Data Set Shown $\begin{array}{|ll|}\hline \underline{X} & \underline{y} \\2 & 3 \\4 & 5 \\6 & 6 \\7 & 8 \\8 & 6 \\9 & 8 \\\hline\end{array}$