Question: Is it possible to conduct a regression analysis on two variables and obtain a significant regression equation (significant F-ratio), but still have a low r2?

Is it possible to conduct a regression analysis on two variables and obtain a significant regression equation (significant F-ratio), but still have a low r2? What does the r2 statistic measure? How can you have a low r2 yet still get a statistically significant F-ratio for the overall regression equation?

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