random sample

The data below show the annual incomes (in £000s) and the amount spent on food during one week (in £) for a random sample of six households:

Annual Income:(X) 10 30 50 40 20 10 (£000)

Spending on Food (Y) 40 80 100 70 50 30 (£000)

(a) Plot the two sets of data on a scatter diagram and comment on the relationship between them.

(b) Calculate the Pearson correlation coefficient between the two variables and interpret the result.

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