The 2009 Kentucky Derby was won by a horse named Mine That Bird (at more than 50:1
Question:
a. Use these values together with the starting time to construct a natural cubic spline for Mine That Bird's race.
b. Use the spline to predict the time at the three-quarter-mile pole, and compare this to the actual time of 1:12.09.
c. Use the spline to approximate Mine That Bird's starting speed and speed at the finish line.
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