The following table gives the winning times (in seconds) for the men’s 400-meter hurdles in the Summer Olympics as a function of the year.
t (years after 1920) | 0 | 8 | 16 | 36 | 48 | 56 |
W (seconds) | 54.0 | 53.4 | 52.4 | 50.1 | 48.12 | 47.64 |
Source: The World Almanac and Book of Facts 2005.
a. Find the linear model W(t) that best fits these data.
b. Find the average error for the linear model, and explain what it means in terms of the situation.
c. Given that the Summer Olympics are held only every 4 years, during which Summer Olympics does the model predict that the winning time will fall below 45 seconds?
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