8.6 Husbands and wives, Part I. The Great Britain Office of Population Census and Surveys once colloet data on a random sample of 170 married couples in Britain, recording the age (in years) and heichte (converted here to inches) of the husbands and wives.° The scatterplot on the left shows the wife's o plotted against her husband's age, and the plot on the right shows wife's height plotted against hushandia height. 70 60- 65 20 55- 60 70 75 40 20 Husband's age (in years) 60 Husband's height (in inches) (a) Describe the relationship between husbands' and wives' ages. (b) Describe the relationship between husbands' and wives' heights. (c) Which plot shows a stronger correlation? Explain your reasoning. (d) Data on heights were originally collected in centimeters, and then converted to inches. Does this con- version affect the correlation between husbands' and wives' heights? Wife's age (in years) Wife's height (in inches)

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8.6 Husbands and wives, Part I. The Great Britain Office of Population Census and Surveys once collest
data on a random sample of 170 married couples in Britain, recording the age (in years) and beich
(converted here to inches) of the husbands and wives.° The scatterplot on the left shows the wife's
plotted against her husband's age, and the plot on the right shows wife's height plotted against husbandie
height.
70
65
40
20-
55-
40
60
60
65
70
75
20
Husband's age (in years)
Husband's height (in inches)
(a) Describe the relationship between husbands' and wives' ages.
(b) Describe the relationship between husbands' and wives' heights.
(c) Which plot shows a stronger correlation? Explain your reasoning.
(d) Data on heights were originally collected in centimeters, and then converted to inches. Does this con-
version affect the correlation between husbands' and wives' heights?
Wife's age (in years)
Wife's height (in inches)
Transcribed Image Text:8.6 Husbands and wives, Part I. The Great Britain Office of Population Census and Surveys once collest data on a random sample of 170 married couples in Britain, recording the age (in years) and beich (converted here to inches) of the husbands and wives.° The scatterplot on the left shows the wife's plotted against her husband's age, and the plot on the right shows wife's height plotted against husbandie height. 70 65 40 20- 55- 40 60 60 65 70 75 20 Husband's age (in years) Husband's height (in inches) (a) Describe the relationship between husbands' and wives' ages. (b) Describe the relationship between husbands' and wives' heights. (c) Which plot shows a stronger correlation? Explain your reasoning. (d) Data on heights were originally collected in centimeters, and then converted to inches. Does this con- version affect the correlation between husbands' and wives' heights? Wife's age (in years) Wife's height (in inches)
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