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) 0.708
B) 0.246
C) −0.071
D) 0.235

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) 0.708
B) 0.246
C) −0.071
D) 0.235

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 calculate $r$, one would typically use the formula involving the sum of the products of the standardized scores of the two variables, or use statistical software or a calculator with the given data. Given the options and without performing the calculation step by step, the correct answer is A) 0.708, which indicates 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) 0708 B) 0

Find the Value of the Linear Correlation Coefficient R A) 0708
B) 0