The National Football League (NFL) records a variety of performance data for ind

Question

The National Football League (NFL) records a variety of performance data for individuals and teams. Some of the year-end performance data for the 2005 season are contained in the file named NFLStats. Each row of the data set corresponds to an NFL team, and the teams are ranked by winning percentage. Descriptions for the data follow:

WinPct: Percentage of games won

TakeInt: Takeway interceptions; total number of interceptions made by the team’s defense

TakeFum: Takeaway fumbles; the total number of fumbles recovered by the team’s defense

GiveInt: Giveway interceptions; the total number of interceptions made by the team’s offense

GiveFum: Giveway fumbles, the total number of fumbles made by the team’s offense

DefYds/G: Average number of yards per game given up on defense

RushYds/G: Average number of rushing years per game

PassYds/G: Average number of passing yards per game

FGPct: Percentage of field goals

I only need answer for Question C).

A) Develop an estimated regression equation that can be used to predict WinPct using DefYds/G. RushYds/G, PassYds/G, and FGPct. Discuss your findings including interpretation of slope of each variable and significance, using at least 100 words. Use a=0.05.

B) Starting with the estimated regression equation developed in part (A), delete any independent variables that are not significant and develop a new estimated regression equation that can be used to predict WinPct. Use a=0.05.

C) Some football analysts believe that turnovers are one of the most important factors in determining a team’s success. With Takeaways=TakeInt+TakeFum and Giveaways=GiveInt+GiveFum, let NetDiff=Takeaways-Giveways. Develop an estimated regression equation that can be used to predict WinPct using NetDiff. Compare your results with the estimated regression equation developed in part (C).

D) Develop an estimated regression equation that can be used to predict WinPct using all the data provided, and interpret the regression results. In other words, what are the most important factors affecting percentage games won? What are the least important factors? Discuss this using at least 100 words

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Explanation / Answer

Solution:

C.

Similar steps in MINITAB :

Regression Analysis: WinPct versus netdiff

The regression equation is
WinPct = 0.501 + 0.0130 netdiff

Predictor Coef SE Coef T P
Constant 0.50066 0.02765 18.11 0.000
netdiff 0.013008 0.002508 5.19 0.000

S = 0.156391 R-Sq = 47.3% R-Sq(adj) = 45.5%

Analysis of Variance

Source                DF              SS                  MS                        F             P
Regression          1             0.65801           0.65801                 26.90      0.000
Residual Error     30           0.73374           0.02446
Total                    31            1.39175

Here also result is significant.

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