Use the following data set that compares age to average "years left to live" to answer the following questions.
Age 10 20 30 40 50 60 70 80 90 100
Years to live 59.2 49.6 40.7 31.9 24.0 17.2 11.6 7.2 4 .4 2.8
a) Show the scatterplot for this data with the least squares regression line. Find R^2. How much of the variation is explained by the regression line?
b) Experiment with the non-linear regressions available on the calculator. Which seem to fit? Show the scatterplot with three different regression curves from the calculator. Label each equation, as well as the applicable R^2.
c) Choose a regression equation to predict how many "years left" a person has if he is now 101 years old. Can he count on celebrating Christmas 2015?