Table 15 lists world record times for the women€™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 15 Women's 400-Meter Run Record Times Record Time (seconds) Year Runner Country 1957 Marlene Mathews 1959 Maria Itkina 1962 Shin Geum Dan 1969 Nicole Duclos 1972 Monika Zehrt 1976 Irena Szewinska 1979 Marita Koch 1983 Jarmila Kratochvflov Czechoslovakia 1985 Marita Koch Australia USSR North Korea France E. Germany Poland E. Germany 57.0 53.4 51.9 51.7 1.0 49.29 48.60 47.99 47.60 E. Germany