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Given: The paired sample data of the age of mothers and the weight of their children result in a linear correlation coefficient very close to 0.
Conclusion: Older mothers tend to have heavier children.
Describe the error in the stated conclusion.
A. A linear correlation coefficient very close to 0 implies that there is a linear correlation between the averages, but a correlation between the averages does not imply a correlation between individuals as the conclusion incorrectly suggest.
B. With a linear correlation coefficient very close to 0, we should conclude that there is not a linear correlation, so there does not appear to be a correlation between age and weight as the conclusion incorrectly suggests.
C. Correlation does not imply causality as the conclusion incorrectly suggests.
D. A linear correlation coefficient very close to 0 implies that there is a linear correlation, but it could be a negative correlation instead of a positive correlation as the conclusion incorrectly suggests.
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