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 = 83.86-0.52x, Birthrate, x Female life expectancy, y (in years) (number of births per 1000 people) 34.4 67.3 19.6 72.9 49.2 58.8 xx 39.4 63.8 28.0 73.3 50.3 53.9 14.1 77.3 15.5 73.3 45.0 57.8 30.8 63.2 50.6 61.8 26.0 73.3 Send data to calculator 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 30.8 births per 1000 people? Round your answer to one or more decimal places. 0 (b) From the regression equation, what is the predicted female life expectancy (in years) when the birthrate is 23.6 births per 1000 people? Round your answer to one or more decimal places. 0 Female life expectancy (In years) x 10 15 20 Birthrate (number of births per 1000 people) ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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=83.86-0.52x.
Birthrate, x
Female life expectancy, y
(in years)
(number of births per 1000 people)
34.4
67.3
19.6
72.9
49.2
58.8
XX
39.4
63.8
28.0
73.3
50.3
53.9
14.1
77.3
15.5
73.3
45.0
57.8
30.8
63.2
50.6
61.8
26.0
73.3
Send data to calculator V
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 30.8 births per
1000 people? Round your answer to one or more decimal places.
(b) From the regression equation, what is the predicted female life expectancy (in years) when the birthrate is 23.6 births per
1000 people? Round your answer to one or more decimal places.
0
Female life expectancy
(In years)
X
40 45
50 55
Birthrate
(number of births per 1000 people)
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=83.86-0.52x. Birthrate, x Female life expectancy, y (in years) (number of births per 1000 people) 34.4 67.3 19.6 72.9 49.2 58.8 XX 39.4 63.8 28.0 73.3 50.3 53.9 14.1 77.3 15.5 73.3 45.0 57.8 30.8 63.2 50.6 61.8 26.0 73.3 Send data to calculator V 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 30.8 births per 1000 people? Round your answer to one or more decimal places. (b) From the regression equation, what is the predicted female life expectancy (in years) when the birthrate is 23.6 births per 1000 people? Round your answer to one or more decimal places. 0 Female life expectancy (In years) X 40 45 50 55 Birthrate (number of births per 1000 people)
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