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Topic 7 Homework (Nonadaptive) Question 6 of 16 (1 point)|Question Attempt: 1 of Unlimited

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Question 6 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−83.300.49x.

Birthrate, x (number of births per 1000 people) Female life expectancy, y (in years) 15.1 71.2 17.5 73.9 41.6 63.7 34.8 66.1 51.7 59.3 27.5 73.0 25.9 74.5 16.2 77.6 46.2 58.6 50.4 53.5 48.7 63.0 31.1 64.6

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Female life expectancy (in years) y5055606570758085x1015202530354045505560 Birthrate (number of births per 1000 people) Based on the sample data and the regression line, answer the following. (a) What was the observed female life expectancy (in years) when the birthrate was 31.1 births per 1000 people?

(b) From the regression equation, what is the predicted female life expectancy (in years) when the birthrate is 31.1 births per 1000 people? Round your answer to one or more decimal places.

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