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by copascetic 4164 days ago
See my other response, but I don't think you're giving the question enough credit. The other responses don't mention the fact that the line would likely be different if we swapped the variables. The question tests both whether you know what a line of best fit represents, and also whether you know that the correlation in one direction is not necessarily equal to the correlation in the other direction. This is something that could be covered in an algebra class with a unit on linear regression. I remember seeing a demonstration and explanation of this in mine.
1 comments

Except that there is no reason to choose the correlation in one direction versus the other in the given problem.

It's a bad question.