The national football league NFL records a variety of perfor
The national football league (NFL) records a variety of performance data for individuals and teams. to investigate the importance of passing on the percentage of games won by a team, the following data shows the conference, average number of passing yards per attempt (Yds/Att), the number of interceptions thrown per attempt (Int/Att), and the percentage of games won (Win%) for a random sample of 16 NFL teams for teh 2011 season (NFL website, February 12, 2012).
TEAM
Conf.
YDS/ATT
Int/Att
Win%
Cardinals
NFC
6.5
.042
50.0
Flacons
NFC
7.1
.022
62.5
Panthers
NFC
7.4
.033
37.5
Bengals
AFC
6.2
.026
56.3
Lions
NFC
7.2
.024
62.5
Packers
NFC
8.9
.014
93.8
Texans
AFC
7.5
.019
62.5
Colts
AFC
5.6
.026
12.5
Jaguars
AFC
4.6
.032
31.3
Vikings
NFC
5.8
.033
18.8
Patriots
AFC
8.3
.020
81.3
Saints
NFC
8.1
.021
81.3
Raiders
AFC
7.6
.044
50.0
49ers
NFC
6.5
.011
81.3
Titans
AFC
6.7
.024
56.3
Redskins
NFC
6.4
.041
31.3
A.) Develope the estimated regression equation that could be used to predict the percentage of games won given the average number of passing yards per attempt.
B.) Develope the estimated regression equation that could be used to predict the percentage of games won given the number of interceptions thrown per attempt.
C.) Develope the estimated regression equation that could be used to predict the percentage of games won given the average number of passing yards per attempt and the number of interceptions thrown per attempt.
D.) The average number of passing yards per attempt for the Kansas City Cheifs was 6.2 and the number of interceptions thrown per attempt was .036. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the kansas City Cheifs. (Note: For the 2011 season teh Kansas City Cheifs\' record was 7 wins and 9 losses.) Compare your predictions to the actual percentage of games won by the Kansas City Chiefs.
This is supposed to be done in Excel, and I have no clue how to do it... Please Help!! Thank you!
| TEAM | Conf. | YDS/ATT | Int/Att | Win% |
| Cardinals | NFC | 6.5 | .042 | 50.0 |
| Flacons | NFC | 7.1 | .022 | 62.5 |
| Panthers | NFC | 7.4 | .033 | 37.5 |
| Bengals | AFC | 6.2 | .026 | 56.3 |
| Lions | NFC | 7.2 | .024 | 62.5 |
| Packers | NFC | 8.9 | .014 | 93.8 |
| Texans | AFC | 7.5 | .019 | 62.5 |
| Colts | AFC | 5.6 | .026 | 12.5 |
| Jaguars | AFC | 4.6 | .032 | 31.3 |
| Vikings | NFC | 5.8 | .033 | 18.8 |
| Patriots | AFC | 8.3 | .020 | 81.3 |
| Saints | NFC | 8.1 | .021 | 81.3 |
| Raiders | AFC | 7.6 | .044 | 50.0 |
| 49ers | NFC | 6.5 | .011 | 81.3 |
| Titans | AFC | 6.7 | .024 | 56.3 |
| Redskins | NFC | 6.4 | .041 | 31.3 |
Solution
TEAM Conf. YDS/ATT Int/Att Win% YDS*Win YDS2 Int*Win Int2 YDS*Int Cardinals NFC 6.5 0.042 50 325 42.25 2.1 0.001764 0.273 Flacons NFC 7.1 0.022 62.5 443.75 50.41 1.375 0.000484 0.1562 Panthers NFC 7.4 0.033 37.5 277.5 54.76 1.2375 0.001089 0.2442 Bengals AFC 6.2 0.026 56.3 349.06 38.44 1.4638 0.000676 0.1612 Lions NFC 7.2 0.024 62.5 450 51.84 1.5 0.000576 0.1728 Packers NFC 8.9 0.014 93.8 834.82 79.21 1.3132 0.000196 0.1246 Texans AFC 7.5 0.019 62.5 468.75 56.25 1.1875 0.000361 0.1425 Colts AFC 5.6 0.026 12.5 70 31.36 0.325 0.000676 0.1456 Jaguars AFC 4.6 0.032 31.3 143.98 21.16 1.0016 0.001024 0.1472 Vikings NFC 5.8 0.033 18.8 109.04 33.64 0.6204 0.001089 0.1914 Patriots AFC 8.3 0.02 81.3 674.79 68.89 1.626 0.0004 0.166 Saints NFC 8.1 0.021 81.3 658.53 65.61 1.7073 0.000441 0.1701 Raiders AFC 7.6 0.044 50 380 57.76 2.2 0.001936 0.3344 49ers NFC 6.5 0.011 81.3 528.45 42.25 0.8943 0.000121 0.0715 Titans AFC 6.7 0.024 56.3 377.21 44.89 1.3512 0.000576 0.1608 Redskins NFC 6.4 0.041 31.3 200.32 40.96 1.2833 0.001681 0.2624 A.) Develope the estimated regression equation that could be used to predict the percentage of games won given the average number of passing yards per attempt. C.) Develope the estimated regression equation that could be used to predict the percentage of games won given the average number of passing yards per attempt and the number of interceptions thrown per attempt. Sum of X 110.4 Sum of Y 869.2 Sum of X1 110.4 Sum of Y 869.2 Sum of X2 0.432 Sum of XY 6291.2 Sum of X and Sum of Y 95959.68 Sum of X1Y 6291.2 Sum of X1X2 2.9239 Sum of X2Y 21.1861 Sum of X2 779.68 Sum of X12 779.68 Square of Sum of X1X2 8.54919121 Sum of X22 0.01309 SXY 293.72 SXX -468.04 SX1Y 20.40577 SXX 1.65681999 SX2Y -1876.46 b1 -0.62755 b0 58.65512 b1 12.31623 b0 -0.077627762 b2 -1132.57 The estimated regression equation is The estimated regression equation is Y=58.655-0.627X Y=-0.077+12.31X1 -1132.57X2 B.) Develope the estimated regression equation that could be used to predict the percentage of games won given the number of interceptions thrown per attempt. D.)the estimated regression equation developed in part (c) to predict the percentage of games won by the kansas City Cheifs is Sum of X 0.432 Sum of Y 869.2 Sum of XY 21.1861 Sum of X and Sum of Y 375.4944 Y=0.077+12.31*6.2-1132.57*.036=35.6265 Sum of X2 0.01309 SXY -2.2823 SXX -2.29396 b1 0.994915 b0 54.29814 The estimated regression equation is Y=54.298-0.9949X


