Reference no: EM131646774

Question: Williams vs. Texas. Here are the average weights of the football team for the University of Texas for various years in the 20th century.

Year               1905      1919      1932      1945       1955       1965

Weight (lb)       164       163        181        192         195        199

a) Fit a straight line to the relationship of Weight by Year for Texas football players.

b) According to these models, in what year will the predicted weight of the Williams College team from

Exercise first be more than the weight of the University of Texas team? c) Do you believe this? Explain.

Exercise: 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.