The Great Britain Office of Population Census and Surveys once collected data on a random sample of 170 married couples in Britain, recording the age (in years) and heights (converted here to inches) of the husbands and wives.[1] The scatterplot on the left shows the wife's age plotted against her husband's age, and the plot on the right shows wife's height plotted against husband's height. Wife's age (in years) 60- 20- 1 20 0 40 Husband's age (in years) Between 0 and 1 -1 Between 0 and -1 60 Wife's height (in inches) 70 65 Suppose men always married women who are 3 years younger than they are. What would be the correlation coefficient between the ages of husbands and wives? 60 55- 60 65 75 70 Husband's height (in inches)

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The Great Britain Office of Population Census and Surveys once collected data on a random
sample of 170 married couples in Britain, recording the age (in years) and heights (converted here
to inches) of the husbands and wives.[1] The scatterplot on the left shows the wife's age plotted
against her husband's age, and the plot on the right shows wife's height plotted against husband's
height.
Wife's age (in years)
60-
20-
1
20
0
40
Husband's age (in years)
Between 0 and 1
-1
Between 0 and -1
60
Wife's height (in inches)
70
65
Suppose men always married women who are 3 years younger than they are. What would be the
correlation coefficient between the ages of husbands and wives?
60
55-
60
65
75
70
Husband's height (in inches)
Transcribed Image Text:The Great Britain Office of Population Census and Surveys once collected data on a random sample of 170 married couples in Britain, recording the age (in years) and heights (converted here to inches) of the husbands and wives.[1] The scatterplot on the left shows the wife's age plotted against her husband's age, and the plot on the right shows wife's height plotted against husband's height. Wife's age (in years) 60- 20- 1 20 0 40 Husband's age (in years) Between 0 and 1 -1 Between 0 and -1 60 Wife's height (in inches) 70 65 Suppose men always married women who are 3 years younger than they are. What would be the correlation coefficient between the ages of husbands and wives? 60 55- 60 65 75 70 Husband's height (in inches)
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