i became entrepreneur with about 135 million in trade profit
I will hit 1 billion credits this friday. We'll see if Elite is around there.
Probably not. More likely around 1.4B.
If you graph log(profit) against rank, you can see that they are roughly linear. Perform linear regression to get a line of best fit, and you arrive at the number 10^9.6, which is 3.9 billion credits for Elite.
I've included the chart below. Hopefully it's not too demoralizing XD
View attachment 8455
Your math is flawed. It's true if you took the average logarithmic change per rank overall, but you're ignoring a clear tendency for each additional rank to require a much smaller multiple than the one before. Aside from the jump from tank 5 to rank 6, the necessary gain is steadily decreasing.
From 5 to 6 you need nine times as much profit. From 6 to 7 you need about four. From seven to eight, three. Following this pattern, the next rank would be at around 1 billion.
Edit: actually, even in the context of your logic, your math is flawed. requiring ten times as much profit as the rank before is well above the average. also, I believe rank 4 is reached at 750,000 profit.
There's no flaw in the math, that's for sure. That's how you would look at it if you apply linear regression. Whether that gives the accurate extrapolation is another question. 3.9 bil is assuming linear relationship between log(profit) and rank, and if this assumption doesn't hold then the extrapolation would be wrong. I just ran this through in 5 minutes to see if it can give some kind of estimate.
Nah, you're probably right that the data points aren't in a linear relationship, which means linear regression gives nonsense results, especially since it had log applied then you do get huge deviations in absolute profit like you said. 3.9 billion Cr is rather insane tbh. I didn't even bother running the data points through Matlab/Mathematica since there's like.. 8 points. Just plugged it into Excel and saw it gave me a linear-ish graph, asked for a linear reg trendline and that's what it gave me. I was flying trade runs as I did it so I wasn't paying too much attention, but now that I look at the graph, it's convex i.e. not linear.
There's no flaw in the math,
Correct.
There is a flaw in the labelling of the axes of your graph.
The y axis is logarithmic.
Each step is about ten times larger than the previous one.
There may be a couple of intermediate steps in there, on lines 8 and 4 for example. But the others are logarithmic. See the way the number gets longer at almost every line?
What you've done is not provide a scale for your numbers. In other words, plot a list of numbers in there that increases by 1 per line. Then next to that you add in your calculated/obtained numbers at the points where each column values match.
Then use the contiguous list as the scale for the y axis, and the actual numbers as the values plotted on that axis. You'll see that the difference between each successive number increases in a non-linear fashion.
The x axis is just single linear steps as you already have it.