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. To find $r$, one typically uses a statistical calculator or software to input the given data points and calculate the correlation coefficient. Given the complexity of calculating $r$ by hand due to the need for multiple summations and square roots as part of the formula, the correct answer is identified through computational means rather than manual calculation. The value of $0.708$ suggests a strong positive linear relationship between the cost of advertising and the number of products sold, indicating that as the cost of advertising increases, the number of products sold tends to increase as well.

Find the Value of the Linear Correlation Coefficient R A) −0.071- 0.071−0.071

Find the Value of the Linear Correlation Coefficient R A) $- 0.071$