The scatterplot and the model in Fig. 84 describe the association between the years and the winning times for the men€™s Olympic 100-meter run. Let y be the winning time (in seconds) for the men€™s Olympic 100-meter run at x years since 0 a.d.

a. The linear regression equation is = -0.01332x + 36.41. The Olympics were not held in 1940 and 1944. Predict what the 100-meter-run winning times would have been in those years. Round to the first decimal place.
b. Estimate the year and the winning time for the outlier, which is the data point for Tom Burke.
c. After the outlier was removed, a new scatterplot and new regression model were found (see Fig. 85). Is the outlier an influential point? Explain.
d. The new linear regression equation is = - 0.01175x + 33.30. Use this model to predict what the 100-meter-run winning times would have been in 1940 and 1944. Round to the first decimal place.
e. Compare your results in parts (a) and (d). Are they fairly close? Does this support your response to part (c)?

Transcribed Image Text:

Year versus Winning Time 12.5 12 115 F 10.5 10 t 9.5 1880 1900 1920 1940 1960 1980 2000 2020 Year Year versus Winning Time ︵ 11.5 10.5 F 10 9.5 1880 1900 1920 1940 1960 1980 2000 2020 Year