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 leastsquares A regression line. The equation for this line is y = 82.33 0.48x. Birthrate, X Female life expectancy, 1! (number of births per 1000 people) (in years) 51.2 58.4 5' " 46.9 57.6 33" 40.3 65.9 g ' -- 25.0 72.9 - __ 8'3 15.0 77.0 a E 53'" '9 2.1 14.5 71.3 : E 5:" m a. 27.6 71-1 _ g __ 34.1 68.5. :33 ' x 49.8 52.6 5 .\\' 'l. l. I. L'.L.L L_.'_l 1:.- 18.3 72's 1\" 1.' 3.. 23 ll 2 v 42' 'L' \" 5' 32.7 63.2 Birthrate 49.8 62.3 (number of births per 1000 people) Send data to calculator v Send data to Excel Based on the sample data and the regression line, answer the following. (a) From the regression equation, what is the predicted female life expectancy (in years) when the birthrate is 46.9 births X 53 per 1000 people? Round your answer to one or more decimal places. (b) what was the observed female life expectancy (in years) when the birthrate was 46.9 births per 1000 people