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 line is 83.05 -0.50 x, Birthrate, x ? 00 E (number of births per 1000 Female life expectancy, y (in years) people) 50.9 54.0 27.8 70.4 19.1 73.3 24.9 73.8 35.2 65.0 31,4 64.0 15.0 76.8 51.3 59.9 46.2 57.2 14.7 73.6 48.7 62.5 40.6 64.0 Send data to calc... Send data to Excel Female life expectancy (in years) 80- 75- 70+ 65- 60- 55 50- 10 15 20 25 30 35 40 45 50 5 Birthrate (number of births per 1000 people) Based on the sample data and the regression line, complete the following. (a) For these data, birthrates that are less than the mean of the birthrates tend to be paired with female life expectancies that are (Choose one) the mean of the female life expectancies. (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? Π X G
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 line is 83.05 -0.50 x, Birthrate, x ? 00 E (number of births per 1000 Female life expectancy, y (in years) people) 50.9 54.0 27.8 70.4 19.1 73.3 24.9 73.8 35.2 65.0 31,4 64.0 15.0 76.8 51.3 59.9 46.2 57.2 14.7 73.6 48.7 62.5 40.6 64.0 Send data to calc... Send data to Excel Female life expectancy (in years) 80- 75- 70+ 65- 60- 55 50- 10 15 20 25 30 35 40 45 50 5 Birthrate (number of births per 1000 people) Based on the sample data and the regression line, complete the following. (a) For these data, birthrates that are less than the mean of the birthrates tend to be paired with female life expectancies that are (Choose one) the mean of the female life expectancies. (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? Π X G
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
line is 83.05 -0.50 x,
Birthrate, x
?
00
E
(number of births per 1000
Female life expectancy, y
(in years)
people)
50.9
54.0
27.8
70.4
19.1
73.3
24.9
73.8
35.2
65.0
31,4
64.0
15.0
76.8
51.3
59.9
46.2
57.2
14.7
73.6
48.7
62.5
40.6
64.0
Send data to calc...
Send data to Excel
Female life expectancy
(in years)
80-
75-
70+
65-
60-
55
50-
10 15 20 25 30 35 40 45 50 5
Birthrate
(number of births per 1000 people)
Based on the sample data and the regression line, complete the following.
(a) For these data, birthrates that are less than the mean of the birthrates tend to be paired
with female life expectancies that are (Choose one) the mean of the female life
expectancies.
(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?
Π
X
G
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