Question
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For a group of students in a statistics class, the scatter diagram compares their test scores ( \( y \) ) and the number of pencils they have ( \( x \). State whether there is no correlation or a negative correlation between the \( x \) and \( y \) variables. If there is a correlation, state whether it is most likely due to coincidence, a common underlying cause, or a direct cause. A. Negative correlation; direct cause B. Negative correlation; coincidence C. No correlation D. Negative correlation; common underlying cause

Ask by Daniel Mitchell. in the United States
Mar 09,2025

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There is a negative correlation between the number of pencils and test scores, and this correlation is most likely due to a common underlying cause.

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Beyond the Answer

It sounds like you might be observing a negative correlation, implying that as the number of pencils increases, test scores tend to decrease. This could be interpreted as a sign that students with more pencils might be distracted or less focused on studying, but it’s also essential to consider other factors at play. Often, correlations can be misleading! Just because you see a pattern doesn’t mean one factor is causing the other. In this case, it might simply be coincidence or a sign of other variables affecting study habits and performance, like time spent preparing for tests rather than playing with pencils!

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