In a local fantasy football league a certain professor believes that a colleague who is also in the league is
only doing well because they are lucky. Using the data below, is either "points for" (a measure of the
strength of your team) or "points against" (a measure out of your control) correlated with number of
wins? Using coefficient of determination, which explains more of the variability in number of wins?
Bonus questions: We have played 12 games (so the league leader is 10-2) Do winning teams have a
significantly different average "points for" than losing teams? Do losing teams have more points against?
Wins
10
7
5
4
8
5
5
4
Points For
190
175
145
146
158
157
143
155
Points
against
147
150
151
168
144
170
163
178