Your captain comes to you with a report from an outside consultant. She is wanti

Question

Your captain comes to you with a report from an outside consultant. She is wanting to know how to interpret a statistic. She asks you, “It says here that the relationship between the number of hours a juvenile spends in a sanctioned after school program (e.g. police athletic league) and test scores is .675. What does that mean?” Write a short interpretation explaining to your captain (who has never taken a statistics class) what this statistic indicates about the relationship between sanctioned after school programs and test scores.

Explanation / Answer

The value 0.675 or 67.5% might be correlation coefficient.

It tells us that the relationship between number of hours a juvenile spends in a sanctioned after school programs and test scores is positive and explains this relationship to the extent of 67.5% and left percentage is explained by other factors.

So, as per this, as  number of hours a juvenile spends in a sanctioned after school programs increases the test score of the student also increases.

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