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). $\begin{array}{l|rrrrrrrr}
\text { Cost } & 9 & 2 & 3 & 4 & 2 & 5 & 9 & 10 \
\hline \text { Number } & 85 & 52 & 55 & 68 & 67 & 86 & 83 & 73
\end{array}$
A) $0.708$
B) $0.246$
C) $- 0.071$
D) $0.235$

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. Calculating $r$ involves using the formula that takes into account the means and standard deviations of both variables, as well as their covariance. Given the data provided, calculating $r$ manually or using statistical software would yield a value close to $0.708$, indicating a moderately strong positive linear relationship between the cost of advertising and the number of products sold.

Find the Value of the Linear Correlation Coefficient R A) 0.7080.7080.708

Find the Value of the Linear Correlation Coefficient R A) $0.708$