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 = 82.85 -0.48x. Birthrate, x (number of births per 1000 people) Female life expectancy, y (in years) 48.0 63.1 16.8 74.0 80 51.3 54.2 24.8 75.4 44.5 58.9 30.9 64.1 41.7 64.2 55 35.6 66.7 14.1 73.9 25.7 73.0 50 15.4 74.8 Birthrate 50.8 59.4 (number of births per 1000 people) Send data to calculator Send data to Excel Based on the sample data and the regression line, answer the following. Female life expectancy (in years)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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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 = 82.85 –0.48x.
Birthrate, x
(number of births per 1000 people)
Female life expectancy, y
(in years)
48.0
63.1
85-
16.8
74.0
80-
51.3
54.2
75+
24.8
75.4
70
44.5
58.9
65
30.9
64.1
60-
41.7
64.2
55+
35.6
66.7
50
14.1
73.9
25.7
73.0
40
só s5
60
15.4
74.8
Birthrate
50.8
59.4
(number of births per 1000 people)
Send data to calculator
Send data to Excel
Based on the sample data and the regression line, answer the following.
(a) From the regression equation, what is the predicted female life expectancy (in years) when the birthrate is 35.6 births
Female life expectancy
(in years)
回8哈
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 = 82.85 –0.48x. Birthrate, x (number of births per 1000 people) Female life expectancy, y (in years) 48.0 63.1 85- 16.8 74.0 80- 51.3 54.2 75+ 24.8 75.4 70 44.5 58.9 65 30.9 64.1 60- 41.7 64.2 55+ 35.6 66.7 50 14.1 73.9 25.7 73.0 40 só s5 60 15.4 74.8 Birthrate 50.8 59.4 (number of births per 1000 people) Send data to calculator Send data to Excel Based on the sample data and the regression line, answer the following. (a) From the regression equation, what is the predicted female life expectancy (in years) when the birthrate is 35.6 births Female life expectancy (in years) 回8哈
51.3
Español
54.2
24.8
75.4
44.5
58.9
30.9
64.1
41.7
64.2
35.6
66.7
00
14.1
73.9
25.7
73.0
15.4
74.8
Birthrate
50.8
59.4
(number of births per 1000 people)
Send data to calculator
Send data to Excel
Based on the sample data and the regression line, answer the following.
(a) From the regression equation, what is the predicted female life expectancy (in years) when the birthrate is 35.6 births
per 1000 people? Round your answer to one or more decimal places.
(b) What was the observed female life expectancy (in years) when the birthrate was 35.6 births per 1000 people?
Female lire expectancy
(in years)
Transcribed Image Text:51.3 Español 54.2 24.8 75.4 44.5 58.9 30.9 64.1 41.7 64.2 35.6 66.7 00 14.1 73.9 25.7 73.0 15.4 74.8 Birthrate 50.8 59.4 (number of births per 1000 people) Send data to calculator Send data to Excel Based on the sample data and the regression line, answer the following. (a) From the regression equation, what is the predicted female life expectancy (in years) when the birthrate is 35.6 births per 1000 people? Round your answer to one or more decimal places. (b) What was the observed female life expectancy (in years) when the birthrate was 35.6 births per 1000 people? Female lire expectancy (in years)
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