Well, of course I did put [~] mark before my statement

And yes, finding a basic linear relationship there seem remote.. but..
I am not quite sure how this experiment were done, but still I am going to try interpit it
Looking at these numbers that Beliver vas kind enough to share with us, you can see timeframe dependency. And yes there is no linear relationship there, looks a lot more like exponential function, and I belive it is one.
but.. compare the numbers in the timeframes and taka a close look how the function changes in larger timeframe, IMHO the direction points to linear relationship using long (big) enough timeframe..(more realistic)
If you take one hour period, 100 pip movement is of course very rare, but 10 pip quite frequent, and 500 pip movement occurs about never I guess. Time period of one day would be quite different. This has only to to with the growth rate.. i.e rate of change of the cable, like in pips/min! So .. what I am trying to say: the possible rate of change is playing the leading role in short timeframe.
Lets assume there were non linear relationship going on here -exponential for example, it is quite clear someone would have found it, and taken advantage of it, in similar fashion as Beliver mention in his good post. Brokers with close spread would be dropping like flies.
I have tested this over and over using 4 pip spread. And never have I seen a glimpse of hope using closer limit than stopper, the spread has always eaten up the little profit gained (and indeed there was none). There is no hole there. qed- ~ linear relationship.
Still: beliver is right, if you are only goint to trade for one hour, 90 pip stopper will hardly be triggered, but will this fact help at all?
Side note:
If I am right, we can easy define new more realistic equation for relative win rate, to see how good TA works.
Sl=20 pip, target =80 coin flip ratio to beat 2:8 or 1:4 This would indicate anything over 25% win rate, and TA is beating the coin flip test.
33% win rate, "common" for trend following systems is 1:3, and using the above stoppers 0,33/0,24=1.32 hit rate..
Then max hit rate using 20 stop and 80 limit would be 1/0,25=4
Now we have a brand new scale, coin flip equals 1
100% win rate using stop 50 limit 50 equals 1/0.5=2
100% win rate using stop 30 limit 90 ..... = 3
100% win rate using stop 20 limit 80...... = 5
What do you think!?
best,
Eriksson