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 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 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 correlation coefficient be for this data set?

Quizplus · Accepted Answer

The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables. It ranges from -1 to 1, where 1 means a perfect positive linear relationship, -1 means a perfect negative linear relationship, and 0 means no linear relationship. Given the data set and the means provided, calculating the correlation coefficient using the formula for Pearson's r would yield a result close to 0.889, indicating a strong positive linear relationship 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 $\begin{array}{|ll|}\hline \underline{X} & \underline{y} \\2 & 3 \\4 & 5 \\6 & 6 \\7 & 8 \\8 & 6 \\9 & 8 \\\hline\end{array}$