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 = 83.05 -0.50x. Birthrate, x (number of births per 1000 pop.) Female life expectancy, y (in years) BS- 14.6 74.3 80-+ 34.1 66.6 75+ 53.1 58.4 70- 51.6 52.5 65 18.8 73.1 60- 13.2 75.6 35- 39.6 65.5 5o 24.1 76.0 27.9 72.3 49.9 61.3 Figure 1 46.1 58.3 29.0 63.2 Based on the sample data and the regression line, answer the following: 1. Fill in the blank: For these data, female life expectancies that are greater than the mean of the female life expectancies tend to be paired with birthrates that are Choose one the mean of the birthrates: O CORRELATION AND SIMPLE LINEAR REGRESSION Predictions from the least-squares regression line Emmanuel V 65- 8.8 73.1 60 13.2 75.6 55- 39.6 65.5 50- 24.1 76.0 27.9 72.3 10 15 20 25 30 35 40 45 50 55 60 49.9 61.3 Figure 1 46.1 58.3 29.0 63.2 An Based on the sample data and the regression line, answer the following: 1. Fill in the blank: For these data, female life expectancies that are greater than the mean of the female life expectancies tend to be paired with birthrates that are Choose one the mean of the birthrates. 2. 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? 3. From the regression equation, what is the predicted female life expectancy (in years) when the birthrate is 39.6 births per 1000 people? (Round your answer to at least one decimal place.) 4. From the regression equation, what is the predicted female life expectancy (in years) when the birthrate is 46.3 births per 1000 people? (Round your answer to at least one decimal place.) Check Explanation 2020 McGraw-Hill Education, All Rights Reserved, Terms of Use | Privacy Accessibility e here to search