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

Question

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

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 considers the sum of the products of the standardized scores of the two variables, or an equivalent formula that directly uses the values of the variables. Given the data, calculating $r$ (which requires a detailed calculation involving all the given values) results in a value of 0.708, indicating a 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) -0071 B) 0

Find the Value of the Linear Correlation Coefficient R A) -0071
B) 0