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The Great Britain Oce of Population Census and Surveys

Chapter , Problem 7.6

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QUESTION:

The Great Britain Oce 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.16 The scatterplot on the left shows the wife's age plotted against her husband's age, and the plot on the right shows wifes height plotted against husbands height.

(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 conversion affect the correlation between husbands and wives heights?

Questions & Answers

QUESTION:

The Great Britain Oce 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.16 The scatterplot on the left shows the wife's age plotted against her husband's age, and the plot on the right shows wifes height plotted against husbands height.

(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 conversion affect the correlation between husbands and wives heights?

ANSWER:

Step 1 of 6

There are two scatter plots given, the left one shows the wife's age plotted against her husband's age, and the plot on the right shows wifes height plotted against husband's height. Using these plots we have to determine the following:

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