Given: The paired sample data of the age and weight of dogs result in a linear c

Question

Given: The paired sample data of the age and weight of dogs result in a linear correlation coefficient very close to 0. Conclusion: Older dogs tend to weigh more. Describe the error in the stated conclusion. A. 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. B. 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. 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 between the averages, but a correlation between the averages does not imply a correlation between individuals as the conclusion incorrectly suggests.

Explanation / Answer

The correct option is (A)

This is because a correlation coefficient close to zero means that there is almost no ( or a very weak ) linear relationship between the variables, so the conclusion is incorrectly suggesting a relationship.

Hope this helps !

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