Third Analysis: Linear Approximation
To improve your estimate (which means looking for a lower Upper Bound and a higher Lower Bound, making your Uncertainty Gap smaller), consider the average speeds.
Compute the average speed for the 1,500 m world's record:
Average Speed = distance/time = __________/__________ = (approximately) __________.
If the mile were run at this speed how many seconds would it take? (Recall that time = distance/speed). Mile record estimate based on average speed for 1,500 m:
Average Speed = distance/time = __________/__________ = (approximately) __________.
If the mile were run at this speed how many seconds would it take? Mile record estimate based on average speed for 2,000 m:
Based on the observation that the greater the distance run, the lower the athlete's average speed, fill out the following chart.
| Your Lower Bound for mile record: | ____________________ seconds. |
| Your Upper Bound for mile record: | ____________________ seconds. |
| The size of your "Uncertainty Gap": | ____________________ seconds. |