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Regressing Y on X1 alone gives R^2 = 0.1; regressing Y on X2 alone gives R^2 = 0.2. What is the maximum possible R^2 when Y is regressed on X1 and X2 together?

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Regressing Y on X1 alone gives R^2 = 0.01, and regressing Y on X2 alone also gives 0.01. What range of R^2 is possible when Y is regressed on X1 and X2 together?Regressing y on x1 alone gives an R squared of 0.3, and regressing y on x2 alone gives 0.02. What range of R squared is possible when y is regressed on x1 and x2 together?Regressing y on X1 by OLS gives R^2 = 0.15; regressing y on X2 gives R^2 = 0.20. What are the lower and upper bounds on the R^2 of the regression of y on X1 and X2 together?

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