# The Coefficient of Correlation and of Determination

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Question: The correlation coefficient for a relation is y = 0.5. Find the coefficient of determination (round to nearest hundredth). Find the percentage of the total variation that can be explained by the linear relationship between the two variables (round to the nearest whole percent).

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#### Solution Preview

Correlation coefficient = 0.5

Therefore, the coefficient of determination = 0.5^ 2 = 0.25

Note: ^ ...

#### Solution Summary

This solution illustrates how to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between two variables. This solution is brief, but concise.

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