Consider the data set shown. The mean X value is 6 and the mean Y value is 6.

$\begin{array}{|ll|}
\hline \underline{X} & \underline{y} \
2 & 3 \
4 & 5 \
6 & 6 \
7 & 8 \
8 & 6 \
9 & 8 \
\hline
\end{array}$
-What would the z-transformation of the correlation coefficient be?

Question

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

Quizplus · Accepted Answer

The z-transformation of the correlation coefficient is calculated using Fisher's z-transformation formula. Given the data, the correlation coefficient (r) is approximately 0.866. Applying Fisher's z-transformation, z = 0.5 * ln((1+r)/(1-r)), results in approximately 1.419.

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