Thursday, January 24, 2008

Regression analysis of 1/8 mile vs 1/4 mile trap speed

Using data collected at dragtimes.com, a regression analysis of 1/8 mile vs 1/4 mile trap speed was performed. Chosen vehicles were Mitsubishi Lancer Evolution and Subaru Impreza WRX and STIs as they are AWD, have forced-induction, are about the same size and weight and present similar frontal areas.

Based on 100 observations, significance F is 2.3*10-114. P-value was less than 0.05 thus we are forced to reject the null hypothesis.

y = 1.32024246643736 * x - 5.40977006570778; where y is predicted 1/4 mile trap speed and x is observed 1/8 mile trap speed.

Detailed graphs found here.

Building upon the LRT formulas as put forth by Jeff Lucius, we can estimate horsepower given the equation:

hp = (mph / 215.39)3.3135 x weight (lbs)


No comments: