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@mattty
Nice graphs Tynan.
Here are 5 points that would -IMO- have a larger effect on # cyclists than a helmet law:
1) weather
2) price of petrol
3) availability of public transport
4) subsidisation of bicycling (e.g. cycle to work scheme)
5) cultural attitudes towards bikes
to control for these in a time-series experiment -in the real world- and be able to tease out the effect of a mandatory helmet law would be very difficult: lots of assumptions, and a lot of variability in the result.