Find the value of the linear correlation coefficient r
-The paired data below consist of the costs of advertising (in thousands of dollars)and the number of products sold (in thousands): $\begin{array}{c|rrrrrrrr}
\text { Cost } & 9 & 2 & 3 & 4 & 2 & 5 & 9 & 10 \
\hline \text { Number } & 85 & 52 & 55 & 68 & 67 & 86 & 83 & 73
\end{array}$
A) $- 0.071$
B) $0.708$
C) $0.235$
D) $0.246$

Question

Quizplus · Accepted Answer

The linear 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 correlation, -1 means a perfect negative linear correlation, and 0 means no linear correlation. To find $r$, you typically use a statistical calculator or software to input the given pairs of data. Given the options and without performing the detailed calculation here, the correct choice is based on understanding that a positive value closer to 1 or -1 indicates a stronger correlation. Among the provided options, $0.708$ suggests a moderate to strong positive correlation, which is plausible for a scenario where increased advertising costs are associated with an increase in the number of products sold.

Find the Value of the Linear Correlation Coefficient R -The

Find the Value of the Linear Correlation Coefficient R
-The