Football weights The Sears Cup was established in 1993to honor institutions that maintain a broad-based athleticprogram, achieving success in many sports, both men’sand women’s. Since its Division III inception in 1995, thecup has been won by Williams College in every yearexcept one. Their football team has a 85.3% winningrecord under their current coach. Why does the footballteam win so much? Is it because they’re heavier thantheir opponents? The table shows the average teamweights for selected years from 1973 to 1993.a) Fit a straight line to the relationship between Weightand Year.b) Does a straight line seem reasonable?c) Predict the average weight of the team for the year2003. Does this seem reasonable?d) What about the prediction for the year 2103? Explain.e) What about the prediction for the year 3003? Explain. Year Weight (lb) Year Weight (lb)1973 185.5 1983 192.01975 182.4 1987 196.91977 182.1 1989 202.91979 191.1 1991 206.01981 189.4 1993 198.7
Football weights 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. Since its Division III inception in 1995, the
cup has been won by Williams College in every year
except one. Their football team has a 85.3% winning
record under their current coach. Why does the football
team win so much? Is it because they’re heavier than
their opponents? The table shows the average team
weights for selected years from 1973 to 1993.a) Fit a straight line to the relationship between Weight
and Year.
b) Does a straight line seem reasonable?c) Predict the average weight of the team for the year
2003. Does this seem reasonable?
d) What about the prediction for the year 2103? Explain.
e) What about the prediction for the year 3003? Explain.
Year Weight (lb) Year Weight (lb)
1973 185.5 1983 192.0
1975 182.4 1987 196.9
1977 182.1 1989 202.9
1979 191.1 1991 206.0
1981 189.4 1993 198.7
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