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 = 81.85-0.46x. Birthrate, x Female life expectancy, y (in years) (number of births per 1000 people) 15.2 71.5 85. 50.8 61.6 80 31.3 63.9 26.1 73.8 70- 46.1 57.8 65. 33.4 66.4 60 x 18.7 71.7 27.1 71.0 50. 51.3 53.7 45 50 55 60 51.7 59.6 40.8 65.6 Birthrate 15.5 77.0 (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 15.2 births per 1000 people? Round your answer to one or more decimal places. 0 (b) What was the observed female life expectancy (in years) when the birthrate was 15.2 births per 1000 people? 0 Female life expectancy (In years) x xx x x x x ?

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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=81.85-0.46x.
Birthrate, x
Female life expectancy, y
(in years)
(number of births per 1000 people)
15.2
71.5
50.8
61.6
31.3
63.9
26.1
73.8
x
46.1
57.8
33.4
66.4
18.7
71.7
27.1
71.0
51.3
53.7
51.7
59.6
40.8
65.6
15.5
77.0
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 15.2
births per 1000 people? Round your answer to one or more decimal places.
0
(b) What was the observed female life expectancy (in years) when the birthrate was 15.2 births per 1000 people?
0
Female life expectancy
(In years)
x
x
X
35 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=81.85-0.46x. Birthrate, x Female life expectancy, y (in years) (number of births per 1000 people) 15.2 71.5 50.8 61.6 31.3 63.9 26.1 73.8 x 46.1 57.8 33.4 66.4 18.7 71.7 27.1 71.0 51.3 53.7 51.7 59.6 40.8 65.6 15.5 77.0 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 15.2 births per 1000 people? Round your answer to one or more decimal places. 0 (b) What was the observed female life expectancy (in years) when the birthrate was 15.2 births per 1000 people? 0 Female life expectancy (In years) x x X 35 40 45 50 55 Birthrate (number of births per 1000 people)
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