The average speed reached by the winners of the Tour de France increased by 53.9% since the first race in 1903 through 2017. We performed a regression of the average winning speeds on years, for the modern era of the Tour, from 1967 to 2017. We obtained the following scatterplot, showing the fitted line: ̂ Average Speed = −225.48 + 0.1323 Y ear. i) Are the conditions for regression met? ii) The years 1999–2005 have been disqualified because of doping. How does this help explain the fact that 9 out of 10 residuals in the final 10 years are negative? iii) Would you extrapolate from this model to predict next year’s

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The average speed reached by the winners of the Tour de France increased by 53.9% since the first race in 1903 through 2017. We performed a regression of the average winning speeds on years, for the modern era of the Tour, from 1967 to 2017. We obtained the following scatterplot, showing the fitted line: ̂ Average Speed = −225.48 + 0.1323 Y ear.

i) Are the conditions for regression met?

ii) The years 1999–2005 have been disqualified because of doping. How does this help explain the fact that 9 out of 10 residuals in the final 10 years are negative?

iii) Would you extrapolate from this model to predict next year’s winning speed?

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