You want to determine whether there is a relationship between an athletes weight x (in

Chapter 2, Problem 98

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You want to determine whether there is a relationship between an athlete’s weight x (in pounds) and the athlete’s maximum bench-press weight y (in pounds). Sample data from 12 athletes are shown below. (Spreadsheet at LarsonPrecalculus.com)

(165, 170), (184, 185), (150, 200),

(210, 255), (196, 205), (240, 295),

(202, 190), (170, 175), (185, 195),

(190, 185), (230, 250), (160, 150)

(a) Use a graphing utility to plot the data.

(b) A model for the data is y = 1.3x − 36. Use the graphing utility to graph the equation in the same viewing window used in part (a).

(c) Use the graph to estimate the values of x that predict a maximum bench-press weight of at least 200 pounds.

(d) Use the graph to write a statement about the accuracy of the model. If you think the graph indicates that an athlete’s weight is not a good indicator of the athlete’s maximum bench-press weight, list other factors that might influence an individual’s maximum bench-press weight.

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