# In 1609, Galileo proved mathematically that the horizontal distance traveled
# by an object with an initial horizontal velocity is a parabola. He based his
# insight on an experimental setup consisting of a ball placed at a certain
# height on a ramp and then released. The distance travelled was then
# measured. The data consists of 2 variables measured by Galileo. One is initial
# height and one the horizontal distance traveled.
# Fit 4 polynomial models of distance modelled by initial height. Use linear,
# parabola, cubic and quartic models. Compare the models by the means of F-test
# and AIC criterion. Which model fits better?
"init.h" "h.d"
"1" 600 253
"2" 700 337
"3" 800 395
"4" 950 451
"5" 1100 495
"6" 1300 534
"7" 1500 573