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wrote...
Posts: 212
3 weeks ago
Height and weight Suppose that both height and weight of adult men can be described with Normal models, and that the correlation between these variables is 0.65. If a man's height places him at the 60th percentile, at what percentile would you expect his weight to be?
Textbook 

Stats: Modeling the World


Edition: 4th
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wrote...
Posts: 259
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3 weeks ago
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r = 0.65
height at 60th percentile: zht = 0.25
Regression to the mean predicts that zwt will be r times as far from 0 as zht was, so
zwt = r(zht) = 0.65(0.25) ≈ 0.16. The man's weight will be approximately the 56th percentile.
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