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

question 151

Multiple Choice

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) . $$\begin{array} { | l | r r r r r r r r | } \hline \text { Cost } & 9 & 2 & 3 & 4 & 2 & 5 & 9 & 10 \\\hline \text { Number } & 85 & 52 & 55 & 68 & 67 & 86 & 83 & 73 \\\hline\end{array}$$

• A) 0.708
• B) -0.071
• C) 0.246
• D) 0.235

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Definitions:

Linearly Related

Describes the direct proportional relationship between two variables, where a change in one variable is associated with a consistent change in another.

Least Squares Line

A line of best fit through a scatter plot of data points that minimizes the sum of the squares of the vertical distances of the points from the line.

Least Squares Line

A straight line that minimizes the sum of the squares of the vertical distances of the points from the line.

Y-intercept

The point where a line or curve crosses the y-axis of a graph, representing the value when all independent variables are zero.