Obtain the Linear Correlation Coefficient for the Data $\begin{array}{r|rrrrrrrr}\mathrm{x} & 9 & 2 & 3 & 4 & 2 & 5 & 9 & 10 \\\hline \mathrm{y} & 85 & 52 & 55 & 68 & 67 & 86 & 83 & 73\end{array}$

question 20

Multiple Choice

Obtain the linear correlation coefficient for the data. Round your answer to three decimal places.
-The data below show the cost of advertising (x) , in thousands of dollars, and the number of products sold (y) , in thousands, for each of eight randomly selected product lines.
$\begin{array}{r|rrrrrrrr}\mathrm{x} & 9 & 2 & 3 & 4 & 2 & 5 & 9 & 10 \\\hline \mathrm{y} & 85 & 52 & 55 & 68 & 67 & 86 & 83 & 73\end{array}$

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

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Definitions:

Simple Linear Regression

A statistical method that models the relationship between two variables by fitting a linear equation to observed data, with one acting as an independent variable and the other as a dependent variable.

Regression Line

A line that best fits a set of data points, representing the average relationship between an independent variable and a dependent variable.

Sum Of The Squared Residuals

The total value obtained by summing the squares of the differences between observed and predicted values, used in statistical analysis to measure the fit of a model.

Data Points

Individual measurements or observations collected during data gathering.