The graph shows the winning times (in minutes) at the Olympic Games for the men’s 5000-m run, together with a linear approximation of the data.

Olympic Times for 5000-Meter Run (in minutes)

(a) An equation for a linear model, based on data from 1912–2012 (where x represents the year), is y = -0.0167x + 46.45.Determine the slope. What does the slope of this line represent? Why is the slope negative?

(b) What reason might explain why there are no data points for the years 1916, 1940, and 1944?

(c) The winning time for the 2000 Olympic Games was 13.35 min. What does the model predict to the nearest hundredth? How far is the prediction from the actual value?

Transcribed Image Text:

15.0 ............ 14.5 14.0 ..... ............. 13.5 13.0 12.5 12.0 1950 1910 1920 1930 1940 1970 1990 2010 2000 1960 1980