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 y = 82.76 -0.50x. Birthrate, x (number of births per 1000 people) 20.5 39.4 46.5 52.8 26.5 35.2 47.1 49.1 23.6 31.9 15.6 13.9 Send data to calculator Female life expectancy, y (in years) 72.7 65.1 58.1 57.9 72.2 67.5 60.8 53.3 73.3 64.0 72.1 75.0 Based on the sample data and the regression line, complete the following. Female life expectancy (in years) 80- x + (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. greater than less than (b) According 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 40 45 50 Birthrate (number of births per 1000 people)
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 y = 82.76 -0.50x. Birthrate, x (number of births per 1000 people) 20.5 39.4 46.5 52.8 26.5 35.2 47.1 49.1 23.6 31.9 15.6 13.9 Send data to calculator Female life expectancy, y (in years) 72.7 65.1 58.1 57.9 72.2 67.5 60.8 53.3 73.3 64.0 72.1 75.0 Based on the sample data and the regression line, complete the following. Female life expectancy (in years) 80- x + (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. greater than less than (b) According 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 40 45 50 Birthrate (number of births per 1000 people)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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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 y = 82.76 -0.50x.
Birthrate, x
(number of births per 1000 people)
20.5
39.4
46.5
52.8
26.5
35.2
47.1
49.1
23.6
31.9
15.6
13.9
Send data to calculator V
Female life expectancy, y
(in years)
72.7
65.1
58.1
57.9
72.2
67.5
60.8
53.3
73.3
64.0
72.1
75.0
Based on the sample data and the regression line, complete the following.
Female life expectancy
(in years)
85
80+
75-
70-
65
60-
55+
50+
x
xx
10 15 20 25 30
x
than
(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
(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.
greater than
+
+
x
x
x
Birthrate
(number of births per 1000 people)
35 40 45 50 55
5
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