Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of countries, both x, the number of births per one thousand people in the population, and y, the female life expectan years), are given. Also shown are the scatter plot for the data and the least-squares regression line. The equation line is y = 82.17 -0.47x. Birthrate, x (number of births per 1000 people) Female life expectancy, y (in years)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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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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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 = 82.17 -0.47x.
Birthrate, x
(number of births per
1000 people)
14.3
27.4
51.1
46.8
24.9
29.9
18.2
41.6
49.4
14.1
33.9
49.3
Send data to calculator
Female life expectancy,
y
(in years)
75.6
70.5
58.2
59.0
73.3
62.7
73.6
65.2
62.4
74.3
67.0
53.9
Send data to Excel
Female life expectancy
(In years)
Based on the sample data and the regression line, answer the following.
85+
80+
75+
70+
65
60
55+
50
(a) From the regression equation, what is the predicted female life expectancy (in
years) when the birthrate is 29.9 births per 1000 people? Round your answer to
one or more decimal places.
0
X
Birthrate
(number of births per 1000 people)
(b) What was the observed female life expectancy (in years) when the birthrate
was 29.9 births per 1000 people?
0
X
X
Ś
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 = 82.17 -0.47x. Birthrate, x (number of births per 1000 people) 14.3 27.4 51.1 46.8 24.9 29.9 18.2 41.6 49.4 14.1 33.9 49.3 Send data to calculator Female life expectancy, y (in years) 75.6 70.5 58.2 59.0 73.3 62.7 73.6 65.2 62.4 74.3 67.0 53.9 Send data to Excel Female life expectancy (In years) Based on the sample data and the regression line, answer the following. 85+ 80+ 75+ 70+ 65 60 55+ 50 (a) From the regression equation, what is the predicted female life expectancy (in years) when the birthrate is 29.9 births per 1000 people? Round your answer to one or more decimal places. 0 X Birthrate (number of births per 1000 people) (b) What was the observed female life expectancy (in years) when the birthrate was 29.9 births per 1000 people? 0 X X Ś
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