Is it possible to conduct a regression analysis on two variables and obtain a significant regression equation

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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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Essentials of Marketing Research

ISBN: 978-0073404820

2nd edition

Authors: Joseph Hair, Mary Wolfinbarger, Robert Bush, David Ortinau

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