Find the Value of the Linear Correlation Coefficient R $$\begin{array} { l | r r r r r r } \text { Hours } & 5 & 10 & 4 & 6 & 10 & 9 \\\hline \text { Score } & 64 & 86 & 69 & 86 & 59 & 87\end{array}$$

question 43

Multiple Choice

Find the value of the linear correlation coefficient r.
-The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. $$\begin{array} { l | r r r r r r } \text { Hours } & 5 & 10 & 4 & 6 & 10 & 9 \\\hline \text { Score } & 64 & 86 & 69 & 86 & 59 & 87\end{array}$$

• A) -0.678
• B) 0.678
• C) 0.224
• D) -0.224

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Definitions:

Bounce Height

The height to which an object rebounds after falling from a certain height, typically used to assess the elasticity or rebound efficiency of materials.

Residual

The difference between observed and predicted values in a statistical model.

Nonlinear

A relationship or function that does not follow a straight line when graphed, indicating a proportional rate of change.

Spread

The extent to which a set of values, such as data points in a dataset, are spread out or dispersed from their average.