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Consider the following hypothetical. Let y be the height of a child and x be the height of their parent, and consider a regression of
Consider the following hypothetical. Let y be the height of a child and x be the height of their parent, and consider a regression of y on x, performed in in a large population. Suppose that we estimate the regression coefficients separately for male and female parents (two separate regressions) and we find that the slope coefficient from the former regression dad is smaller than that from the 1 latter mom. Suppose however that we find (in this same population) the sample correlation between a 1 father's height and their child's height is larger than that between a mother's height and their child's height. What is a plausible explanation for what is happening here
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