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Bivariate Data

Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of births per one thousand people in the population and the female life expectancy (in years) are given. Also given are the products of the birthrates and female life expectancies for each of the twelve countries. (These products, written in the column labelled " ," may aid in calculations.)
Temperature, x Female life expectancy, y xy
(numbers of births (in years)
per 1000 pop.)

46.0 58.0 2668
18.7 72.0 1346.4
51.1 60.2 3076.22
34.8 67.5 2349
23.3 73.7 1717.21
49.3 61.6 3036.88
31.8 61.6 1958.88
15.6 76.6 1194.96
27.2 73.0 1985.6
51.0 53.5 2728.5
42.6 66.7 2841.42
13.2 73.0 963.6

Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below.

1. What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.

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Solution Summary

Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of births per one thousand people in the population and the female life expectancy (in years) are given. Also given are the products of the birthrates and female life expectancies for each of the twelve countries. (These products, written in the column labelled " ," may aid in calculations.)
Temperature, x Female life expectancy, y xy
(numbers of births (in years)
per 1000 pop.)

46.0 58.0 2668
18.7 72.0 1346.4
51.1 60.2 3076.22
34.8 67.5 2349
23.3 73.7 1717.21
49.3 61.6 3036.88
31.8 61.6 1958.88
15.6 76.6 1194.96
27.2 73.0 1985.6
51.0 53.5 2728.5
42.6 66.7 2841.42
13.2 73.0 963.6

Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below.

1. What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.

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