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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 = 82.60 -0.48x. Birthrate, x (number of births per 1000 people) 31.7 14.3 49.4 23.2 27.7 19.3 40.0 49.1 46.0 52.5 14.1 35.5 Send data to calculator Female life expectancy, y (in years) 61.8 75.5 54.8 73.7 72.9 73.2 65.9 62.1 58.1 58.5 73.9 68.6 Based on the sample data and the regression line, complete the following. 7 Female life expectancy (in years) x 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. (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? + + x x x Birthrate (number of births per 1000 people) 35 40 45 50 55 60

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 = 82.60 -0.48x. Birthrate, x (number of births per 1000 people) 31.7 14.3 49.4 23.2 27.7 19.3 40.0 49.1 46.0 52.5 14.1 35.5 Send data to calculator Female life expectancy, y (in years) 61.8 75.5 54.8 73.7 72.9 73.2 65.9 62.1 58.1 58.5 73.9 68.6 Based on the sample data and the regression line, complete the following. 7 Female life expectancy (in years) x 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. (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? + + x x x Birthrate (number of births per 1000 people) 35 40 45 50 55 60

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
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 = 82.60-0.48x. Birthrate, x (number of births per 1000 people) 31.7 14.3 49.4 23.2 27.7 19.3 40.0 49.1 46.0 52.5 14.1 35.5 Send data to calculator V Female life expectancy, y (in years) 61.8 75.5 54.8 73.7 72.9 73.2 65.9 62.1 58.1 58.5 73.9 68.6 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 xx 15 20 25 X (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? U (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. + + x Birthrate (number of births per 1000 people) 35 40 45 50 55 60 X 5
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 = 82.60-0.48x. Birthrate, x (number of births per 1000 people) 31.7 14.3 49.4 23.2 27.7 19.3 40.0 49.1 46.0 52.5 14.1 35.5 Send data to calculator V Female life expectancy, y (in years) 61.8 75.5 54.8 73.7 72.9 73.2 65.9 62.1 58.1 58.5 73.9 68.6 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 xx 15 20 25 X (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? U (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. + + x Birthrate (number of births per 1000 people) 35 40 45 50 55 60 X 5
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