Data Set 6-8
$$\begin{array} { l l }
X & Y \
\hline 1 & 4 \
2 & 3 \
2 & 2
\end{array}$$
-In Data Set 6-8, the Pearson correlation coefficient is
A) 0.86
B) 0.25
C) -0.25
D) -.87

Question

Data Set 6-8
 $$\begin{array} { l l } 
X & Y \
\hline 1 & 4 \
2 & 3 \
2 & 2
\end{array}$$
-In Data Set 6-8, the Pearson correlation coefficient is
A) 0.86
B) 0.25
C) -0.25
D) -.87

Quizplus · Accepted Answer

The Pearson correlation coefficient measures the linear correlation between two variables, X and Y. In this dataset, as X increases, Y generally decreases, indicating a negative correlation. Calculating the Pearson correlation coefficient for this specific dataset yields a value close to -0.87, indicating a strong negative linear relationship.

Data Set 6-8 XY142322\begin{array} { l l } X & Y \\\hline 1 & 4 \\2 & 3 \\2 & 2\end{array}X122​Y432​​

Data Set 6-8 $\begin{array} { l l } X & Y \\\hline 1 & 4 \\2 & 3 \\2 & 2\end{array}$