The table gives the winning heights for the Olympic pole vault competitions in the 20th century.
(a) Make a scatter plot and decide whether a linear model is appropriate.
(b) Find and graph the regression line.
(c) Use the linear model to predict the height of the winning pole vault at the 2000 Olympics and compare with the winning height of 19.36 feet.
(d) Is it reasonable to use the model to predict the winning height at the 2100 Olympics?

Height (ft) Year Year Height (ft) 10.83 1956 1900 14.96 11.48 1960 15.42 1904 1908 12.17 16.73 17.71 1964 1912 12.96 1968 1920 13.42 1972 18.04 1924 12.96 1976 18.04 13.77 1928 1980 18.96 18.85 1932 14.15 1984 14.27 1936 1988 19.77 19.02 1948 14.10 1992 14.92 1952 1996 19.42