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Mathematics, 06.12.2021 19:10 23rwilliamson

Problem 2- Coach Johnson, head football coach for Tinker Toy Tech (TTT) is getting ready for recruitment season. He is
looking at all of the data for his former first-year offensive players, trying to look for patterns that will give him
additional information to help him recruit great players. Below is a snippet of his data for 12 such players from
previous years:
a
Data gathered later, during season
Data gathered at recruitment time
GPA
100 m dash run time (see)
Weight (lb)
Average yards run per game Average points scored per game
210
6.6
2.7
112
12.3
68
1.9
230
3.2
13.7
3.2
70
180
2.6
15.2
4.2
09
185
12.9
3.3
5.9
101
210
4.0
13.1
85
2.2
180
2.3
13.6
75
2.4
195
2.1
15
190
3.7
3.0
14
98
92
200
13.4
5.1
2.9
190
2.7
7.7
12.2
142
5.9
92
230
2.2
12.6
75
250
5.9
14.2
3.1
His assistant coaches have different opinions about this data. Coach Griswold thinks that weight is a good piece
of information to help predict the number of points per game a player will make. "Heavier players will be able
to push aside more defenders, so they will score more points!" Coach Faulder, on the other hand, thinks that
the 100 meter dash time will be the best predictor. "Faster players, who have lower times on the 100 meter
dash, will be able to avoid defenders more and score more points. "Looking at the data, do a gut check: do you
agree with one or both of the coaches? Explain your reasoning.

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