For linear regression, if use X1 alone to predict Y, the correlation is 0.1, use X2 the correlation is 0.2, what is the range of correlation if combine X1 and X2. Assume that X1 and X2 are independent.
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1$\begingroup$ Welcome to CV. If this question relates to a class exercise, please see stats.stackexchange.com/tags/self-study/info and add the tag to modify the question accordingly. $\endgroup$– PitouilleNov 23, 2021 at 9:38
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$\begingroup$ For effective methods of solving this problem, see the closely related questions at stats.stackexchange.com/questions/305441, stats.stackexchange.com/questions/72790, and stats.stackexchange.com/questions/550810. $\endgroup$– whuber ♦Nov 23, 2021 at 20:00
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$\begingroup$ @qwerty1010 .... also stats.stackexchange.com/questions/122888/… There's probably several more to be found $\endgroup$– Glen_bNov 23, 2021 at 23:40
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