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Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of
Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of births x per one thousand people in the population and the female life expectancy y (in years) are given. These data are displayed in the Figure 1 scatter plot. Birthrate, x Female life expectancy, (number of births per 1000 pop.) y (in years) 26.9 71.1 80- 35.3 65.8 15.1 73.0 70+ 50.4 54.6 65 31.1 63.2 60 48.7 60.5 40.3 66.7 47.2 58.0 10 13 20 15 30334045 3035e0 14.6 76.0 Birthrate (number of births per 1000 pop.) 52.3 59.5 Figure 1 18.2 72.0 25.6 74.8 The least-squares regression line for these data has a slope of approximately -0.47. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.) (a) What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. Female life expectancy (in years) (b) What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.
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