(2) Tour de France Over 199 years ago in 1993, the fastest rider nished the course at an average speed of 25.3 kph (15.72 mph). In 2995, Lance Armstrong averaged 41.65 kph (225.88 mph) for the fastest average winning time for the time period 1903 to 2997 with no races held from 1940 to 1946 due to W'orld 'War II. The scatter plot of these data for this time period, with the regression line plotted on it, is given to the right. The regression line to predict fastest average speed {in kph} from calender year is :5- - 40' I. In : Anny Spud kph '6 Aimed = 272.75 + 0.155 - Year. in 1900 1920 I960 1980 2000 Year 1940 (a) Use the regression line to predict the fastest average winning time for the Tour de France if it had been held in the year 1942. (b) Interpret the slope of the regression line in context. (c) In 1979 winner Bernard Hinaulti averaged 39.8 kphJ while in 2995 Lance Armstrong av- eraged 41.65 kph. Which was the more remarkable performance and why? (Hint: Think residuals.)