41 Refer to Problein 9 24 For these counties, the correlation between high school educa- tion rate...

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41 Refer to Problein 9 24 For these counties, the correlation between high school educa- tion rate and income equals 79. Suppose we also have data at the individual level as well as aggregated for a county. Sketch a scatter diagram to show that at the individual level. the correlation could be inuch wcake. (Hint. Show that lots of variability could exist for individuals, yet the suminary values for counties could fall close to a straight line.) Because of this result it is misleading to extend results from the aggregate level to indi-viduals Making predictions about individuals based on the behavior of aggregate groups is known as the ecological fallacy (See W S. Robinson. American Sociological Review, Vol 15, 1950. p. 351).

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