Find the value of the linear correlation coefficient r.
-The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. $$\begin{array} { l | r r r r r r }
\text { Hours } & 5 & 10 & 4 & 6 & 10 & 9 \
\hline \text { Score } & 64 & 86 & 69 & 86 & 59 & 87
\end{array}$$
A) -0.678
B) 0.678
C) 0.224
D) -0.224

Question

Find the value of the linear correlation coefficient r.
-The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. $$\begin{array} { l | r r r r r r } 
\text { Hours } & 5 & 10 & 4 & 6 & 10 & 9 \
\hline \text { Score } & 64 & 86 & 69 & 86 & 59 & 87
\end{array}$$
A) -0.678
B) 0.678
C) 0.224
D) -0.224

Quizplus · Accepted Answer

The linear correlation coefficient r is calculated using the formula for Pearson's correlation coefficient. After computing the necessary sums and products, the value of r is approximately 0.224, indicating a weak positive correlation between hours studied and test scores.

Find the Value of the Linear Correlation Coefficient R Hours 51046109 Score 648669865987\begin{array} { l | r r r r r r } \text { Hours } & 5 & 10 & 4 & 6 & 10 & 9 \\\hline \text { Score } & 64 & 86 & 69 & 86 & 59 & 87\end{array} Hours Score ​564​1086​469​686​1059​987​​

Find the Value of the Linear Correlation Coefficient R $\begin{array} { l | r r r r r r } \text { Hours } & 5 & 10 & 4 & 6 & 10 & 9 \\\hline \text { Score } & 64 & 86 & 69 & 86 & 59 & 87\end{array}$