I've re-run the regression on the following sixteen players - Butcher, Crawley, Flintoff, Hick, Hussain, Jones, Knight, Lewis, Ramprakash, Rhodes, Stewart, Strauss, Thorpe, Trescothick, Vaughan, White - qualifications being a 1990s debut, ten Tests and an FC batting average above 30.
Regression Analysis: Test versus FC
Code:
The regression equation is
Test = 20.3 + 0.352 FC
Predictor Coef SE Coef T P
Constant 20.30 15.46 1.31 0.210
FC 0.3515 0.3774 0.93 0.367
S = 9.33004 R-Sq = 5.8%
Basically, that means a whacking great 5.8% of the variance in the Test averages can be statistically explained by the variance in the FC averages, and 94.2% comes down to other factors. Statistically, it's woeful to the point of utterly insignificant.
If I run a multivariate regression and/or correlation including highest scores, fifty rate, hundred rate and conversion rate... the results are still crap. It actually turns out some of other variables are more statistically significant predictors than the FC average, but the best adjusted R-squared term I could manage was 23.8%, with the equation of: 21.989 - 0.06508*HS + 105.07*F/I where HS = High Score and F/I is fifties per innings.
Conclusion: FC averages mean nothing.