Lap times are dependent on such variables as horsepower and weight. More horsepower will correspond to a faster lap time while more weight will lead to a slower lap time. However, there are many other variables not in the specs that can effect the lap time. For example; some cars are hard to handle on the limit and will make the driver cautious / slower around the track. Conversely a more confidence inspiring car will make the driver push the car to its limits and have a quicker lap time. Other factors such as; steering feel, power delivery, weight transfer through the corners, etc. will effect the lap time to a degree that the specs of a car do not.
What cars should be faster or slower on a racetrack given their own specifications?
Using EVO Lap times and variables including; Number of Cylinders, RPM @ max RPM, HP, RPM @ max LBFT, LBFT, Engine Size, and Weight, I made a regression model and looked at those that over/underperformed given the model.
This then, is just looking at the residuals and seeing what cars should be better. This may sound stupid at first. After all no one says "Well..yea you're car is 5 seconds faster, but it really should be 10 seconds faster!". Then again most of comparisons involve residuals. Whenever anyone says "Good for the price" they're talking residuals given a price. Here I'm talking residuals given HP and Weight figures.
Below are the cars and how fast they went around the EVO lap in seconds. (Other data can be found here)
Below is a Pairs Plot of each of variables.
What cars should be faster or slower on a racetrack given their own specifications?
Using EVO Lap times and variables including; Number of Cylinders, RPM @ max RPM, HP, RPM @ max LBFT, LBFT, Engine Size, and Weight, I made a regression model and looked at those that over/underperformed given the model.
This then, is just looking at the residuals and seeing what cars should be better. This may sound stupid at first. After all no one says "Well..yea you're car is 5 seconds faster, but it really should be 10 seconds faster!". Then again most of comparisons involve residuals. Whenever anyone says "Good for the price" they're talking residuals given a price. Here I'm talking residuals given HP and Weight figures.
Below are the cars and how fast they went around the EVO lap in seconds. (Other data can be found here)
Car
|
Lap Time
|
Ferrari 458 Italia
|
79.3
|
Caterham Levante VS
|
79.6
|
Porsche 997 GT2 RS
|
79.9
|
Lotus 2-Eleven GT4
|
80.1
|
Caterham Superlight R500
|
80.2
|
McLaren MP4-12C
|
80.6
|
Noble M600
|
80.8
|
Porsche 997 GT3 RS 4.0
|
81
|
Lamborghini Murcielago LP670-4 SV
|
81.3
|
Ariel Atom 3 Supercharged
|
81.5
|
KTM X-Bow (300bhp)
|
81.5
|
Ferrari 430 Scuderia
|
81.7
|
Porsche 997.2 CT3 RS (3.8)
|
81.9
|
Brooke Double R
|
82.5
|
Lamborghini Gallard LP560-4
|
82.5
|
Lamborghini Murcielago LP640
|
82.9
|
Porsche 997.2 GT3
|
83.3
|
Porsche Carrera GT
|
83.3
|
Porsche 997 Turbo S
|
83.5
|
Nissan GT-R
|
83.6
|
Lotus 340R (190bhp)
|
84.2
|
Caterham Superlight R300
|
84.3
|
Maserati GranTurismo MC Stradale
|
84.5
|
Mercedes-Benz SLS AMG
|
84.6
|
Porsche Boxster Spyder
|
84.7
|
Ferrari California
|
85
|
KTM X-Bow
|
85
|
BMW E92 M3 Coupe
|
85.1
|
Mercedes-Benz SL65 AMG Black
|
85.2
|
Audi RS5
|
85.4
|
Audi R8 Spyder V8
|
85.5
|
Porsche Cayman R
|
85.5
|
BMW M5 (F10)
|
85.7
|
Aston Martin V12 Vantage
|
85.8
|
BMW 1-series M Coupe
|
85.9
|
Mitsubishi Evo X FQ-400
|
85.9
|
Mitsubishi Evo X RS 360
|
86.1
|
Renaultsport Megane 265 Trophy
|
86.1
|
Audi TT RS
|
86.3
|
Aston Martin DBS
|
86.4
|
Porsche Panamera Turbo
|
86.5
|
Jaguar XJ220
|
86.7
|
Mercedes-Benz E63 AMG
|
86.8
|
Porsche Cayenne Turbo
|
86.9
|
Lotus Evora
|
87.1
|
Nissan 370Z
|
87.1
|
Porsche Panamera S
|
87.3
|
Lotus Elise SC
|
87.7
|
Mercedes-Benz C63 AMG Coupe
|
87.7
|
BMW E46 M3 C5L
|
87.8
|
Renaultsport Megane R26.R
|
87.8
|
Vauxhall VXR8 Bathurst S
|
87.8
|
Audi RS6 Avant
|
87.9
|
Jaguar XFR
|
87.9
|
Honda Civic Type-R Mugen 2.0
|
88
|
Lexus IS-F
|
88.1
|
Porsche Boxster S
|
88.1
|
Subaru WRX STI
|
88.3
|
Jaguar XJ Supersport
|
88.4
|
SEAT Leon Cupra R
|
88.7
|
Bentley Continental Supersports
|
89.2
|
Lotus Elise Club Racer
|
89.2
|
Maserati Quattroporte S
|
89.5
|
Renaultsport Megane 250 Cup
|
89.9
|
Honda NSX
|
90.1
|
Nissan 370Z Roadster
|
90.3
|
VW Scirocco 2.0 TSI
|
90.4
|
Ford Focus RS (Mk2)
|
90.8
|
Renaultsport Clio 200 Cup
|
91.9
|
VW Golf GTI [Mk6)
|
92.4
|
Below is a Pairs Plot of each of variables.
I ran a step regression with Lap Time as dependent and all other variables (excluding weather since there all except 3 were Dry). The process lead to a model including; HPRPM, Engine Size, BHP, and Weight and is shown below.
| ||||||||||||||||||||||||||||||||||
| Residual standard error: 1.974 on 67 degrees of freedom | ||||||||||||||||||||||||||||||||||
| Multiple R-quared: 0.6635 ADJ R-squared:0.6435 | ||||||||||||||||||||||||||||||||||
| F-statistic:33.03 on 4 and 67 DF | ||||||||||||||||||||||||||||||||||
Using this model the residuals
| Car | Residual |
| KTM X-Bow (300bhp) | -2.93487945 |
| Lotus 2-Eleven GT4 | -2.83245965 |
| Nissan GT-R | -2.66665528 |
| Ferrari 458 Italia | -2.57420938 |
| Porsche 997.2 CT3 RS (3.8) | -2.55684266 |
| Mitsubishi Evo X RS 360 | -2.50226452 |
| Maserati GranTurismo MC Stradale | -2.46471552 |
| Renaultsport Megane 265 Trophy | -2.44615874 |
| Porsche Cayenne Turbo | -1.91766928 |
| BMW 1-series M Coupe | -1.83047226 |
| Porsche 997 GT3 RS 4.0 | -1.81502563 |
| Caterham Superlight R500 | -1.77237657 |
| Porsche Boxster Spyder | -1.6582512 |
| Porsche 997.2 GT3 | -1.54770591 |
| Lamborghini Murcielago LP640 | -1.35574562 |
| Porsche 997 GT2 RS | -1.28253206 |
| Audi TT RS | -1.27050135 |
| Porsche Panamera Turbo | -1.17816797 |
| Lotus Evora | -1.10761578 |
| Porsche Panamera S | -1.04072814 |
| Porsche 997 Turbo S | -0.83654924 |
| Ferrari 430 Scuderia | -0.82185243 |
| Audi R8 Spyder V8 | -0.68468002 |
| Porsche Cayman R | -0.68457919 |
| Lamborghini Gallard LP560-4 | -0.67647912 |
| KTM X-Bow | -0.63837555 |
| Nissan 370Z | -0.62867383 |
| BMW E92 M3 Coupe | -0.58344003 |
| Audi RS5 | -0.56349199 |
| Renaultsport Megane R26.R | -0.50017286 |
| Lotus 340R (190bhp) | -0.44282995 |
| McLaren MP4-12C | -0.40117778 |
| Brooke Double R | -0.3714648 |
| Ferrari California | -0.33430501 |
| Caterham Superlight R300 | -0.3061938 |
| Lamborghini Murcielago LP670-4 SV | -0.24397178 |
| BMW M5 (F10) | -0.18196681 |
| Mitsubishi Evo X FQ-400 | -0.18097319 |
| Ariel Atom 3 Supercharged | -0.10631631 |
| Subaru WRX STI | -0.08331381 |
| Aston Martin V12 Vantage | 0.02661749 |
| Mercedes-Benz E63 AMG | 0.11885765 |
| Mercedes-Benz SLS AMG | 0.33430532 |
| SEAT Leon Cupra R | 0.47876336 |
| Mercedes-Benz C63 AMG Coupe | 0.48358713 |
| Aston Martin DBS | 0.54115489 |
| Lexus IS-F | 0.55513591 |
| Porsche Boxster S | 0.67495797 |
| Maserati Quattroporte S | 0.67528337 |
| VW Scirocco 2.0 TSI | 0.7166074 |
| Mercedes-Benz SL65 AMG Black | 0.87429901 |
| Renaultsport Megane 250 Cup | 1.0633422 |
| Honda Civic Type-R Mugen 2.0 | 1.24547732 |
| Noble M600 | 1.30749315 |
| Jaguar XFR | 1.33734955 |
| Bentley Continental Supersports | 1.38429526 |
| Audi RS6 Avant | 1.61605625 |
| Vauxhall VXR8 Bathurst S | 1.76433676 |
| Lotus Elise Club Racer | 1.84730036 |
| Jaguar XJ Supersport | 1.86583708 |
| Porsche Carrera GT | 2.00596389 |
| BMW E46 M3 C5L | 2.03663438 |
| Honda NSX | 2.27324813 |
| Nissan 370Z Roadster | 2.37761095 |
| Lotus Elise SC | 2.53179383 |
| Ford Focus RS (Mk2) | 2.94808301 |
| VW Golf GTI [Mk6) | 3.02997026 |
| Renaultsport Clio 200 Cup | 3.87547123 |
| Jaguar XJ220 | 3.90086627 |
| Caterham Levante VS | 4.13508509 |
Jaguar XJ220 should be faster (underachiever) while Ferrari 458 should be slower (overachiever). Makes some sense.
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