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 (number of births per 1000 pop.) Female life expectancy, y (in years) 13.8 73.3 17.7 74.5 42.1 66.0 35.7 67.1 46.1 58.3 49.2 52.8 14.6 75.3 48.9 62.7 24.8 73.2 31.0 63.6 26.7 71.7 51.8 59.6 The value of the sample correlation coefficient r for these data is approximately −0.902. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. a. What is the value of the slope of the least-squares regression line for these data? Round your answer to at least two decimal places. b. 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.
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
| Birthrate, x (number of births per 1000 pop.) |
Female life expectancy, y (in years) |
|---|---|
| 13.8 | 73.3 |
| 17.7 | 74.5 |
| 42.1 | 66.0 |
| 35.7 | 67.1 |
| 46.1 | 58.3 |
| 49.2 | 52.8 |
| 14.6 | 75.3 |
| 48.9 | 62.7 |
| 24.8 | 73.2 |
| 31.0 | 63.6 |
| 26.7 | 71.7 |
| 51.8 | 59.6 |
The value of the sample
a. What is the value of the slope of the least-squares regression line for these data? Round your answer to at least two decimal places.
b. 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.
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