Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, bot the number of births x per one thousand people in the population and the female life expectancy y (in years) are given. These data are displayed in the Figure 1 scatter plot. Also given is the product of the birthrate and the female life expectancy for each of the twelve countries. (These products, written in the column labelled "xy", may aid in calculations.) Birthrate, x (number of births per 1000 pop.) Female life expectancy, y (in years) 41.3 15.6 52.1 32.0 62.2 47.0 58.9 49.7 53.4 27.2 71.2 19.8 72.8 13.3 73.9 24.6 74.3 36.4 66.2 49.4 63.0 Send data to calculator V 66.8 76.7 60.5 ху 2758.84 1196.52 3152.05 1990.4 2768.3 2653.98 1936.64 1441.44 982.87 1827.78 2409.68 3112.2 Female life expectancy (in years) 85. Figure 1 80- 75- 70- 65 60 50. Birthrate (number of births per 1000 pop.) What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.)

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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 x per one thousand people in the population and the female life expectancy y (in years) are given. These data
are displayed in the Figure 1 scatter plot. Also given is the product of the birthrate and the female life expectancy for each of the
twelve countries. (These products, written in the column labelled "xy", may aid in calculations.)
Birthrate, x
(number of
births per
1000 pop.)
Female life
expectancy, y
(in years)
41.3
15.6
52.1
32.0
47.0
49.7
27.2
19.8
13.3
24.6
36.4
49.4
Send data to calculator
66.8
76.7
60.5
62.2
58.9
53.4
71.2
72.8
73.9
74.3
66.2
63.0
xy
2758.84
1196.52
3152.05
1990.4
2768.3
2653.98
1936.64
1441.44
982.87
1827.78
2409.68
3112.2
Female life expectancy
(in years)
Figure 1
85-
^y
80-
75-
70-
65_
60
55
1/46 15 20 25 30 35 40 45 50 55 60
Birthrate
(number of births per 1000 pop.)
What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and
round your answer to at least three decimal places. (If necessary, consult a list of formulas.)
Transcribed Image Text: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 x per one thousand people in the population and the female life expectancy y (in years) are given. These data are displayed in the Figure 1 scatter plot. Also given is the product of the birthrate and the female life expectancy for each of the twelve countries. (These products, written in the column labelled "xy", may aid in calculations.) Birthrate, x (number of births per 1000 pop.) Female life expectancy, y (in years) 41.3 15.6 52.1 32.0 47.0 49.7 27.2 19.8 13.3 24.6 36.4 49.4 Send data to calculator 66.8 76.7 60.5 62.2 58.9 53.4 71.2 72.8 73.9 74.3 66.2 63.0 xy 2758.84 1196.52 3152.05 1990.4 2768.3 2653.98 1936.64 1441.44 982.87 1827.78 2409.68 3112.2 Female life expectancy (in years) Figure 1 85- ^y 80- 75- 70- 65_ 60 55 1/46 15 20 25 30 35 40 45 50 55 60 Birthrate (number of births per 1000 pop.) What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.)
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