Table 16 lists world record times for the men€™s 400-meter run.

Let r be the record time (in seconds) at t years since 1900.

a. Construct a scatterplot.
b. Describe the four characteristics of the association. Compute and interpret r as part of your analysis.
c. Find an equation of a linear model.
d. Graph the model on the scatterplot. Verify that the line passes through the two points you chose in finding the equation in part (c) and that it comes close to all of the data points.

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Table 16 Men's 400-Meter Run Record Times Record Time seconds) 47.8 47.4 47.0 Maxie Long Ted Meredith Emerson Spencer Bill Carr Graver Klemmer George Rhoden Carl Kaufmann Lee Evans Harry Reynolds Michael Johnson USA USA USA USA USA 1900 916 1928 1932 941 1950 960 1968 1988 1999 USA USA USA 45.8 44.9 43.86 43.29 43.18