After watching the Superbowl, Steve is convinced that the referees are often blind, blowing calls that greatly...
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Psychology
After watching the Superbowl,Steve is convinced that the referees are often blind, blowing callsthat greatly influence teams’ chances of winning. To test his idea,Steve chooses ten NFL teams at random and watches every single gamein a season for those ten teams. He records the number of blowncalls going against each team (regardless of whether he is a fan ofthe team!). He also records the winning percentages of each ofthose ten teams at the end of the season. He is most interested inknowing whether the number of blown calls going against each teampredicts those teams’ winning percentages. Using Steve’s datasetbelow, provide your hand calculations to answer the questions thatfollow.
Blown Calls(X)
WinningPercentage (Y)
X2
Y2
XY
       50      Â
78
2500
6084
3900
61
83
3721
6889
5063
66
55
4356
3025
3630
69
73
4761
5329
5037
73
49
5329
2401
3577
74
59
5476
3481
4366
79
39
6241
1521
3081
80
45
6400
2025
3600
85
47
7225
2209
3995
110
32
12100
1024
3520
Total
747
560
58109
33998
39769
Steve’s favorite team had only 60 blown callsagainst them this season. What would you predict Steve’s team’swinning percentage to be?
After watching the Superbowl,Steve is convinced that the referees are often blind, blowing callsthat greatly influence teams’ chances of winning. To test his idea,Steve chooses ten NFL teams at random and watches every single gamein a season for those ten teams. He records the number of blowncalls going against each team (regardless of whether he is a fan ofthe team!). He also records the winning percentages of each ofthose ten teams at the end of the season. He is most interested inknowing whether the number of blown calls going against each teampredicts those teams’ winning percentages. Using Steve’s datasetbelow, provide your hand calculations to answer the questions thatfollow.
Blown Calls(X) | WinningPercentage (Y) | X2 | Y2 | XY | |
       50       | 78 | 2500 | 6084 | 3900 | |
61 | 83 | 3721 | 6889 | 5063 | |
66 | 55 | 4356 | 3025 | 3630 | |
69 | 73 | 4761 | 5329 | 5037 | |
73 | 49 | 5329 | 2401 | 3577 | |
74 | 59 | 5476 | 3481 | 4366 | |
79 | 39 | 6241 | 1521 | 3081 | |
80 | 45 | 6400 | 2025 | 3600 | |
85 | 47 | 7225 | 2209 | 3995 | |
110 | 32 | 12100 | 1024 | 3520 | |
Total | 747 | 560 | 58109 | 33998 | 39769 |
Steve’s favorite team had only 60 blown callsagainst them this season. What would you predict Steve’s team’swinning percentage to be?
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