Concept explainers
The mean height of American
women in their twenties is about 64.3 inches, and the standard deviation is about 3.9 inches. The mean height of men
the same age is about 69.9 inches, with standard deviation
about 3.1 inches. Suppose that the
heights of husbands and wives is about r 0.5.
(a) What are the slope and intercept of the regression
line of the husband’s height on the wife’s height in young
couples?
(b) Draw a graph of this regression line for heights of wives
between 56 and 72 inches. Predict the height of the husband
of a woman who is 67 inches tall, and plot the wife’s height
and predicted husband’s height on your graph.
(c) You don’t expect this prediction for a single couple to be
very accurate. Why not?
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