The Following Are the Winning Times for the Olympic Men's

Essay

The following are the winning times for the Olympic Men's 110 Meter Hurdles:
\begin{array}{l}\begin{array} { | l | l | } \hline \text { Year } & \text { Time } \\\hline 1896 & 17.6 \\\hline 1900 & 15.4 \\\hline 1904 & 16 \\\hline 1906 & 16.2 \\\hline 1908 & 15 \\\hline 1912 & 15.1 \\\hline 1920 & 14.8 \\\hline 1924 & 15 \\\hline 1928 & 14.8 \\\hline\end{array}&\\begin{array} { | l | l | } \hline \text { Year } & \text { Time } \\\hline 1932 & 14.6 \\\hline 1936 & 14.2 \\\hline 1948 & 13.9 \\\hline 1952 & 13.7 \\\hline 1956 & 13.5 \\\hline 1960 & 13.8 \\\hline 1964 & 13.6 \\\hline 1968 & 13.3 \\\hline 1972 & 13.24 \\\hline\end{array}&\begin{array} { | l | l | } \hline \text { Year } & \text { Time } \\\hline 1976 & 13.3 \\\hline 1980 & 13.39 \\\hline 1984 & 13.2 \\\hline 1988 & 12.98 \\\hline 1992 & 13.12 \\\hline 1996 & 12.95 \\\hline 2000 & 13 \\\hline 2004 & 12.91 \\\hline\end{array}\end{array}
(a) Make a scatter plot of these data.(b) Fit a linear model to the data.(c) Fit an exponential model to the data
(d) Fit a quadratic model to the data.(e) Use your equations to make a table showing the predicted winning time for each model for the 2008 Olympics, rounded to the nearest hundredth of a second.(f) The actual time for the 2008 Olympics was 12.93 seconds. Which model was closest? Which model was second-closest?