Below are bivariate data giving birth rate and life expectancy information for each of twelve countries. For each of the countries, both x, the number of births per one thousand people in the population, and y, the female life expectancy (in years), are given. Also shown are the scatter plot for the data and the least-squares regression line. The equation for this A line is y=80.53-0.42x. Birthrate, x (number of births per 1000 people) 26.4 35.7 12.7 30.3 49.5 24.6 45.0 41.6 13.6 18.4 49.3 51.0 Send data to calculator V Female life expectancy, y (in years) 72.2 68.3 74.1 64.3 62,8 73.2 58.4 66.6 72.7 73.3 53.7 61.2 Female life expectancy (in years) Based on the sample data and the regression line, complete the following. 85 80 75 70 65 60 Ny SS. 50 10 15 20 25 (a) For these data, female life expectancies that are less than the mean of the female life expectancies tend to be paired with birth rates that are (Choose one) ▼ the mean of the birthrates. x (b) According to the regression equation, for an increase of one (birth per 1000 people) in birthrate, there is a corresponding decrease of how many years in female life expectancy? 0 x x x x Birth rate. (number of births per 1000 people) 30 35 40 45 50 55 60
Below are bivariate data giving birth rate and life expectancy information for each of twelve countries. For each of the countries, both x, the number of births per one thousand people in the population, and y, the female life expectancy (in years), are given. Also shown are the scatter plot for the data and the least-squares regression line. The equation for this A line is y=80.53-0.42x. Birthrate, x (number of births per 1000 people) 26.4 35.7 12.7 30.3 49.5 24.6 45.0 41.6 13.6 18.4 49.3 51.0 Send data to calculator V Female life expectancy, y (in years) 72.2 68.3 74.1 64.3 62,8 73.2 58.4 66.6 72.7 73.3 53.7 61.2 Female life expectancy (in years) Based on the sample data and the regression line, complete the following. 85 80 75 70 65 60 Ny SS. 50 10 15 20 25 (a) For these data, female life expectancies that are less than the mean of the female life expectancies tend to be paired with birth rates that are (Choose one) ▼ the mean of the birthrates. x (b) According to the regression equation, for an increase of one (birth per 1000 people) in birthrate, there is a corresponding decrease of how many years in female life expectancy? 0 x x x x Birth rate. (number of births per 1000 people) 30 35 40 45 50 55 60
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...
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Transcribed Image Text:Might we be able to predict life expectancies from birthrates?
Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the
countries, both x, the number of births per one thousand people in the population, and y, the female life expectancy (in
years), are given. Also shown are the scatter plot for the data and the least-squares regression line. The equation for this
80.53 -0.42x.
A
line is y
Birthrate, x
(number of births per
1000 people)
26.4
35.7
12.7
30.3
49.5
24.6
45.0
41.6
13.6
18.4
49.3
51.0
Send data to calculator
Female life expectancy,
y
(in years)
72.2
68.3
74.1
64.3
62.8
73.2
58.4
66.6
72.7
73.3
53.7
61.2
Female life expectancy
(in years)
Based on the sample data and the regression line, complete the following.
85
80
75
70
65
60 -
55
50
10
xx/
15 20 25
(a) For these data, female life expectancies that are less than the mean of the
female life expectancies tend to be paired with birthrates that are
(Choose one) ▼ the mean of the birthrates.
X
(b) According to the regression equation, for an increase of one (birth per 1000
people) in birthrate, there is a corresponding decrease of how many years in
female life expectancy?
x
30 35
X
X
xx
Birth rate
(number of births per 1000 people)
+
40 45 50 55 60
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