Williams football The Sears Cup was established in 1993 to honor institutions that maintain a broad-based athletic program, achieving success in many sports, both men’s and women’s. In the years following its Division III inception in 1995, the cup was won by Williams College 15 of 17 years. Why did the football team win so much? Was it because they were heavier than their opponents? The table shows the average team weights for selected years from 1973 to 1993.

1. Fit a straight line to the relationship between Weight and Year.

2. Does a straight line seem reasonable?

3. Predict the average weight of the team for the year 2015. Does this seem reasonable?

4. What about the prediction for the year 2103? Explain.

5. What about the prediction for the year 3003? Explain.

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Year Weight (lb) 1973 185.5 1975 182.4 1977 182.1 1979 191.1 1981 189.4 1983 192.0 1987 196.9 1989 202.9 1991 206.0 1993 198.7