After watching the Superbowl, Steve is convinced that the referees are often blind, blowing calls that greatly influence teams’ chances of winning. To test his idea, Steve chooses ten NFL teams at random and watches every single game in a season for those ten teams. He records the number of blown calls going against each team (regardless of whether he is a fan of the team!). He also records the winning percentages of each of those ten teams at the end of the season. He is most interested in knowing whether the number of blown calls going against each team predicts those teams’ winning percentages. Using Steve’s dataset below, provide your hand calculations to answer the questions that follow.
Blown Calls (X) |
Winning Percentage (Y) |
X2 |
Y2 |
XY |
|
50 |
78 |
||||
61 |
83 |
||||
66 |
55 |
||||
69 |
73 |
||||
73 |
49 |
||||
74 |
59 |
||||
79 |
39 |
||||
80 |
45 |
||||
85 |
47 |
||||
110 |
32 |
||||
Total |
What is the regression intercept (a)? Show your work.
Blown Calls (X) |
Winning Percentage (Y) |
X2 |
Y2 |
XY |
|
1. |
50 |
78 |
2500 |
6084 |
3900 |
2. |
61 |
83 |
3721 |
6889 |
5063 |
3. |
66 |
55 |
4356 |
3025 |
3630 |
4. |
69 |
73 |
4761 |
5329 |
5037 |
5. |
73 |
49 |
5329 |
2401 |
3577 |
6. |
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 |
33988 |
39769 |
a= ( 2833597) / 23081
a= 122.767
Get Answers For Free
Most questions answered within 1 hours.