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Topic
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Re: Logarithmic (non-linear) regression - Bitcoin estimated value
by
BTCdragosfera
on 05/01/2024, 09:19:03 UTC
⭐ Merited by JayJuanGee (1)
Hello! I am writing to this forum for the first time. I was very interested in the work of Trolololo and I decided to get into it in detail. I carefully and thoroughly studied this whole forum https://bitcointalk.org/index.php?topic=831547.0 and made sure that its formulas in the past gave accurate results! Thank you very much Trolololo for your fundamental work.
       But I do not understand everything, so I am forced to turn to all of you and, above all, to the distinguished Trolololo for help and clarification ....
       Trolololo several times laid out similar, but slightly different formulas. All these formulas give different results and all these results change every day ... Today, 07/20/2019, the formulas give the following results:

10/22/2014 5-17-47
10 ^ (2.66167155005961 * ln ((number of days since 2009 Jan 09) / days) - 17.9183761889864) 11266
https://www.wolframalpha.com/input/?i=10%5E2.66167155005961++*+ln ((number+of+days+s+2009+Jan+09)%2Fdays)+-+17.9183761889864)

 
12/30/2014
10 ^ (2.9065 * ln ((number of days since 2009 Jan 09) / days) - 19.493)
31480
https://www.wolframalpha.com/input/?i=10%5E(2.9065++*+ln((nnumber+of+days+since+2009+Jan+09)%2Fdays)+-+19.493)

 
3/9/2015
10 ^ (3.1737 * ln ((number of days since 2009 Jan 09) / days) - 21.424)
59234
https://www.wolframalpha.com/input/?i=10%5E(3.1737++*+ln((nnew+of+days+since+2009+Jan+09)%2Fdays)+-+21.424)

 
05.28.2015
10 ^ (3.11800081827247 * ln ((number of days since 2009 Jan 09) / days) - 21.0858000278001)
44773
https://www.wolframalpha.com/input/?i=10%5E (3.1800081827247++*+ln ((number+of+days+s++2009+Jan+09)%2Fdays)+++21.0858000278001)

 
04/14/2016
10 ^ (2.84737734739566 * ln ((number of days since 2009 Jan 09) / days) - 19.2400124152881)
18323
https://www.wolframalpha.com/input/?i=10%5E2.84737734739566++*+ln ((number+of+days+s+2009+Jan+09)%2Fdays)+-+19.2400124152881)


01/10/2017
10 ^ (2.66167155005961 * ln ((number of days since 2009 Jan 09) / days) - 17.9183761889864)
11266
https://www.wolframalpha.com/input/?i=10%5E2.66167155005961++*+ln ((number+of+days+s+2009+Jan+09)%2Fdays)+-+17.9183761889864)

  

          In this regard, I have the following questions:
1) I would like to draw your attention to the fact that the first and last formulas on October 22, 2014, 17–47 and 01/10/2017 are absolutely identical !!! Why? Why, then, were changes made to the formula for three years?
 2) Which of these formulas is relevant today?
3) If I understand correctly, these formulas show the predicted price of Bitcoin after some time in the future. After what about time Bitcoin should reach the price, which shows the formula at the moment.
4) What are the days of brackets (number of days since 2009 Jan 09) / days) does this formula substitute for getting the correct result?


Hi Sergii,
It turns the model of Trolololo is nothing else than a power law. He wrote the formula, log10(Price)=A*ln(days)-C but this can be rewritten as Price=10^(A*ln(days)-C) or Price=days^(Aln(10))/10^C or price=B*days^n where B=1/10^C and n=A*ln(10).
It is a big deal because a power law first of all looks like a straight line in a log log graph and BTC looks exactly like that. And also power laws are very important in science. Many phenomena in nature follow power law. I will write soon a medium article on this topic. I think Trolololo discovery was the most important in BTC history (well together with my realization that it is a power law not some random formula).