An explanatory variable in a simple regression is bimodal


1. An explanatory variable is skewed whereas the response is bell-shaped. Why is it not possible for this variable to explain a substantial portion of the variation in the response in a linear regression?

2. An explanatory variable in a simple regression is bimodal. If the simple regression has a large r2, then what sort of distribution would you expect for the response?

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Basic Statistics: An explanatory variable in a simple regression is bimodal
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