Long jump: The following table shows the length, in meters, of the winning long jump in the Olympic Games for the indicated year. (One meter is 39.37 inches.)
a. Find the equation of the regression line that gives the length as a function of time. (Round the regression line parameters to three decimal places.)
b. Explain in practical terms the meaning of the slope of the regression line.
c. Plot the data points and the regression line.
d. Would you expect the regression line formula to be a good model of the winning length over a long period of time? Be sure to explain your reasoning.
e. There were no Olympic Games in 1916 because of World War I, but the winning long jump in the 1920 Olympic Games was 7.15 meters. Compare this with the value that the regression line model gives. Is the result consistent with your answer to part d?
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