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What Makes
           The Formula One
             Champion?
                   Regression Analysis



Wojciech Latocha
WHAT IS FORMULA ONE?
• the highest class of single-seater auto racing
• the season is compounded of a series of races, known
  as Grand Prixes
• races are held on purpose-built circuits and public roads
• results of each race are added to define two annual World
  Champions:
   • individual
   • constructor
THE IMPORTANCE OF THE F1
               ANALYSIS
• Social factors:
    • Worldwide popularity
        • each F1 Grand Prix attracts a global audience of 600 million
          people
        • 2001 F1 season: 54 billion TV viewers, 200 countries
• Economic factors:
    • Perfect example for Snob Effect and Veblen Good concept
    • Formula One revenues are equal to GDP of Mongolia or
      Kyrgyzstan and almost two times higher than GDP of Faroe
      Islands
LITERATURE REVIEW
• Numerous general nature book publications and articles:
    • Explaining rules
    • Presenting history
    • Describing former World Champions

    • Liu Xiao: Formula One’s Financial Crisis, 2009

• A few scientific resources:
    • Eichenberger and Stadelmann, Who Is The Best Formula 1 Driver? An
      Economic Approach to Evaluating Talent, 2009
    • Mastromarco and Runkel, Rule changes and competitive balance in
      Formula One motor racing, 2009
DATA
• The official website of the Formula One
• Official websites of Formula One teams
• Official websites of drivers
• Formula Money
METHODOLOGY
• Regression Analysis
• Ordinary Least Squares Methodology




• STATA software
Regression Model
SIMPLE DATA SERIES

• Was the individual world champion racing for the team? –
  a dummy variable

• Number of years that a main engineer spent with a team
RATIOS
•   Percentage spread between drivers' points

•   First driver salary / First driver podiums

•   First driver salary / First driver positions awarded with points (excluding
    podiums)

•   Second driver salary / Second driver podiums

•   Second driver salary / Second driver positions awarded with points
    (excluding podiums)

•   Teams' testing laps / The most active tester's laps

•   Pit-stop spread
REASONS OF THE DISTINCTION
• Changes in regulations
• Forecasting disability of some simple series (no ability of
  their value's control)
• Driver’s transfers
• Number of competing team’s changes
SUMMARY OF STATISTICS
                                                                    Standard
                              Variable                   Mean
                                                                    Deviation
final position                                           6.018182    3.223128
was the individual world champion racing for the team?   0.090909    0.290129
percentage spread between drivers' points                0.692449    0.341747
number of years main engineer spent with the team        2.927273    2.417946
teams' testing laps to the most active tester's laps      0.69628    0.270442
pit stop spread                                          0.187378    0.193195
1st salary/podiums                                       4.589197    6.190581
1st salary/points                                        2.642526    3.218502
2nd salary/podiums                                       3.351749    5.292386
2nd salary/points                                        1.857905    2.539029
RESULTS OF THE REGRESSION
                        final position                   Coefficient   Standard Error     t     P>t
was the individual world champion racing for the team?    -1.86251       1.232371       -1.51   0.138
percentage spread between drivers' points                 2.287651       .9805094       2.33    0.024
number of years main engineer spent with the team         -0.27952        .138966       2.01    0.05
teams' testing laps to the most active tester's laps      -1.88072       1.584256       -1.19   0.241
pit stop spread                                           2.643283       1.948494       1.36    0.182
1st salary/podiums                                        -0.07556       .0665366       -1.14   0.262
1st salary/points                                         -0.1668        .1104518       -1.51   0.138
2nd salary/podiums                                        0.195983       .0838879       2.34    0.024
2nd salary/points                                         -0.43651       .1611728       -2.71   0.01
constant                                                  7.177511       1.498906       4.79     0
DISCUSSION
• 7.18 - an initial position of any team competing in The Formula One
• 1.86 - a position improvement due to employing a former individual World
  Champion
• 0.23 - a result depreciation caused by each 10% of a difference between
  points collected by each of two drivers
• 0.28 - a position increase through prolonging team’s cooperation with its
  main engineer
• 0.44 - a position improvement due to each $1 million paid to the second
  driver for scoring a position points-awarded
• 0.2 - a position drop caused by each $1 million paid to the second driver
  for scoring a podium
FORECAST FOR 2011
     Virgin-Cosworth
        HRT-Cosworth
        Lotus-Renault
   Williams-Cosworth
          STR-Ferrari
        Sauber-Ferrari
Force India-Mercedes
              Renault
            Mercedes
               Ferrari
  McLaren-Mercedes
         RBR-Renault

                          0           2          4           6          8   10   12
                         actual final position       predicted position
CONCLUSION
• The model was able to predict an exact final position of one out
  of twelve teams
• Numerical values returned by the equation indicated four out of
  twelve positions in the final standing, including:
   • The World Champion
   • All three teams on the podium
• The forecast indicated a fierce battle for a few positions – what
  was proved on the track
• The model underestimated a result of the first seven teams and
  overestimated the result of the others
Thank you for
your attention!

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What Makes The Formula One Champion. Regression Analysis

  • 1. What Makes The Formula One Champion? Regression Analysis Wojciech Latocha
  • 2. WHAT IS FORMULA ONE? • the highest class of single-seater auto racing • the season is compounded of a series of races, known as Grand Prixes • races are held on purpose-built circuits and public roads • results of each race are added to define two annual World Champions: • individual • constructor
  • 3. THE IMPORTANCE OF THE F1 ANALYSIS • Social factors: • Worldwide popularity • each F1 Grand Prix attracts a global audience of 600 million people • 2001 F1 season: 54 billion TV viewers, 200 countries • Economic factors: • Perfect example for Snob Effect and Veblen Good concept • Formula One revenues are equal to GDP of Mongolia or Kyrgyzstan and almost two times higher than GDP of Faroe Islands
  • 4. LITERATURE REVIEW • Numerous general nature book publications and articles: • Explaining rules • Presenting history • Describing former World Champions • Liu Xiao: Formula One’s Financial Crisis, 2009 • A few scientific resources: • Eichenberger and Stadelmann, Who Is The Best Formula 1 Driver? An Economic Approach to Evaluating Talent, 2009 • Mastromarco and Runkel, Rule changes and competitive balance in Formula One motor racing, 2009
  • 5. DATA • The official website of the Formula One • Official websites of Formula One teams • Official websites of drivers • Formula Money
  • 6. METHODOLOGY • Regression Analysis • Ordinary Least Squares Methodology • STATA software
  • 8. SIMPLE DATA SERIES • Was the individual world champion racing for the team? – a dummy variable • Number of years that a main engineer spent with a team
  • 9. RATIOS • Percentage spread between drivers' points • First driver salary / First driver podiums • First driver salary / First driver positions awarded with points (excluding podiums) • Second driver salary / Second driver podiums • Second driver salary / Second driver positions awarded with points (excluding podiums) • Teams' testing laps / The most active tester's laps • Pit-stop spread
  • 10. REASONS OF THE DISTINCTION • Changes in regulations • Forecasting disability of some simple series (no ability of their value's control) • Driver’s transfers • Number of competing team’s changes
  • 11. SUMMARY OF STATISTICS Standard Variable Mean Deviation final position 6.018182 3.223128 was the individual world champion racing for the team? 0.090909 0.290129 percentage spread between drivers' points 0.692449 0.341747 number of years main engineer spent with the team 2.927273 2.417946 teams' testing laps to the most active tester's laps 0.69628 0.270442 pit stop spread 0.187378 0.193195 1st salary/podiums 4.589197 6.190581 1st salary/points 2.642526 3.218502 2nd salary/podiums 3.351749 5.292386 2nd salary/points 1.857905 2.539029
  • 12. RESULTS OF THE REGRESSION final position Coefficient Standard Error t P>t was the individual world champion racing for the team? -1.86251 1.232371 -1.51 0.138 percentage spread between drivers' points 2.287651 .9805094 2.33 0.024 number of years main engineer spent with the team -0.27952 .138966 2.01 0.05 teams' testing laps to the most active tester's laps -1.88072 1.584256 -1.19 0.241 pit stop spread 2.643283 1.948494 1.36 0.182 1st salary/podiums -0.07556 .0665366 -1.14 0.262 1st salary/points -0.1668 .1104518 -1.51 0.138 2nd salary/podiums 0.195983 .0838879 2.34 0.024 2nd salary/points -0.43651 .1611728 -2.71 0.01 constant 7.177511 1.498906 4.79 0
  • 13. DISCUSSION • 7.18 - an initial position of any team competing in The Formula One • 1.86 - a position improvement due to employing a former individual World Champion • 0.23 - a result depreciation caused by each 10% of a difference between points collected by each of two drivers • 0.28 - a position increase through prolonging team’s cooperation with its main engineer • 0.44 - a position improvement due to each $1 million paid to the second driver for scoring a position points-awarded • 0.2 - a position drop caused by each $1 million paid to the second driver for scoring a podium
  • 14. FORECAST FOR 2011 Virgin-Cosworth HRT-Cosworth Lotus-Renault Williams-Cosworth STR-Ferrari Sauber-Ferrari Force India-Mercedes Renault Mercedes Ferrari McLaren-Mercedes RBR-Renault 0 2 4 6 8 10 12 actual final position predicted position
  • 15. CONCLUSION • The model was able to predict an exact final position of one out of twelve teams • Numerical values returned by the equation indicated four out of twelve positions in the final standing, including: • The World Champion • All three teams on the podium • The forecast indicated a fierce battle for a few positions – what was proved on the track • The model underestimated a result of the first seven teams and overestimated the result of the others
  • 16. Thank you for your attention!