If the two regression coefficients bxy and byx are −0.8 and −0.2 respectively, then the correlation coefficient (p) will be ______.

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If the two regression coefficients bxy and byx are −0.8 and −0.2 respectively, then the correlation coefficient (p) will be 0.4. Explanation: Given that: bxy = − 0.8, byx = − 0.2 ∵ The correlation coefficient is the geometric mean of the regression coefficient. $\Rightarrow$ r = $\pm$ sqrt (b_(yx) b_(xy)) On putting values r = sqrt((−0.8) $\times$ (−0.2)) = sqrt0.16 = p = 0.4 $\therefore$ Option 0.4 is correct.

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