Birthrate, x (number of births per 1000 pop.) Female life expectancy, y ху (in years) 33.8 66.6 2251.08 16.7 74.0 1235.8 16.5 77.5 1278.75 24.9 73.1 1820.19 14.5 73.7 1068.65 30.1 62.7 1887.27 51.2 57.8 2959.36 47.1 58.0 2731.8 48.3 60.5 2922.15 25.9 71.3 1846.67 41.4 65.8 2724.12 50.5 55.0 2777.5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 6E
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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.

Birthrate, x
Female life
(number of
births per
1000 роp.)
expectancy, у
ху
(in years)
y
85+
33.8
66.6
2251.08
80+
16.7
74.0
1235.8
75+
16.5
77.5
1278.75
70+
24.9
73.1
1820.19
65+
14.5
73.7
1068.65
60+
хх
30.1
62.7
1887.27
55-
51.2
57.8
2959.36
50-
47.1
58.0
2731.8
10 15 20 25 30 35 40 45 50 55 60
48.3
60.5
2922.15
Birthrate
25.9
71.3
1846.67
(number of births per 1000 pop.)
41.4
65.8
2724.12
Figure 1
50.5
55.0
2777.5
Female life expectancy
(in years)
Transcribed Image Text:Birthrate, x Female life (number of births per 1000 роp.) expectancy, у ху (in years) y 85+ 33.8 66.6 2251.08 80+ 16.7 74.0 1235.8 75+ 16.5 77.5 1278.75 70+ 24.9 73.1 1820.19 65+ 14.5 73.7 1068.65 60+ хх 30.1 62.7 1887.27 55- 51.2 57.8 2959.36 50- 47.1 58.0 2731.8 10 15 20 25 30 35 40 45 50 55 60 48.3 60.5 2922.15 Birthrate 25.9 71.3 1846.67 (number of births per 1000 pop.) 41.4 65.8 2724.12 Figure 1 50.5 55.0 2777.5 Female life expectancy (in years)
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.)
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.)
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