EXERCISES t I. The Great Britain Office of Population Census and Surveys Husband

Question

EXERCISES t I. The Great Britain Office of Population Census and Surveys Husbands and wives, Part Gret 6d data on a random sample of 170 marrie 0 married couples in Britain, (converted here to inches) of the husbands and wives 20 The ) and heignife s age plotted against her husband's age, and the plot on the right shomes whes bands and wives.20 The recording the age (in scatterplot on the left shows t st husband's height. 65- E 60 20 20 40 60 Husband's age (in years) Husbands height (in inches) a) Describe the relationship between husbands' and wives' ages. b) Describe the relationship between husbands' and wives' heights. (e) Which plot shows a stronger correlation? Explain your reasoning d) Data on heights were originally collected in centimeters, and then converted to inches. Does conversion affect the correlation between husbands' and wives' heights?

Explanation / Answer

a) The scatterplot shows a strong positive correlation between husband's and wive's ages

b) The scatterplot shows a weak positive relationship between husband's and wive's height

c) Plot A (Plot of ages) shows a much stronger correlation since we can clearly see that most of the point are very close to the line of regression, same cannot be said for the other graph

d) No there shouldn't be any change in the correlation because of the change in unit

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