deathslaya91 Posted June 30, 2006 Share Posted June 30, 2006 This is where the TI-84 shines: I ran a quartic data regression model on my lists to find a formula that is as accurate as possible. Bear in mind that this produces a polynomial expression of degree 4. :-s ?.................. =D> Whip PKs: 11Dragon Drops: 9 - Whip Drops: 20 Link to comment Share on other sites More sharing options...
xvillexvalox Posted June 30, 2006 Share Posted June 30, 2006 Good job, although your formula still has some mistakes. TI 84+ SE FTW! \ Link to comment Share on other sites More sharing options...
12pure34 Posted June 30, 2006 Share Posted June 30, 2006 I'm still stuck with my old TI-83 upgraded version :wall: Well, sience for life I may say, but I have .. a few.. what .. alot to say about this formula. Since I myself study sciense aswell, 3% is alot. You say: lvl 1 - 60 is inaccurate.. and you say that 60+ is 3% inaccurate. Well, it could just be me, but if 'all' your answers are inaccurate, then the formula simply isn't right. It might be something to try, but round off. Nobody actually uses formulas that aren't round off. Oh and last but not least. This proves again that no men can ever do something random \ (sience people, its been proven once more) :-k Link to comment Share on other sites More sharing options...
Darkduellord Posted June 30, 2006 Share Posted June 30, 2006 and for that you needed a calculator? Y = 1.1240002159979X^4 - 169.81098284753X^3 + 8443.2450488426X^2 - 146185.46656323X + 586908.5427719 cmon how easy can it get :P Tip.it's 2nd unoffical Go player sm3x; Link to comment Share on other sites More sharing options...
Duke_Freedom Posted June 30, 2006 Share Posted June 30, 2006 Also, just had a thought: What if I take Duke Freedom's research on the prices of rares and develop a regression algorithm for the prices of rares (i.e. inflation) THAT would be a pretty big acheivement. Prices of rares grow exponentially, besides, prices of rares fluctuate a lot - you can only determine long-term trends and I'll show that even those seem to fluctuate. Over historic data of mid 2005 to start 2006, the prices grew roughly with the equation 1.005^x. However, the past half year they grew roughly with the equation 1.0085^x, much faster then the other trend (x = number of days passed). This shows that either rares have been growing much faster nowadays, or rares will grow much slower the rest of the year. The value of my bank at its height. Estimated value at the peak of the rares market: 250 billion+.Most likely the largest trade in RuneScape ever. Estimated value at the peak of the rares market: 70 billion+. Link to comment Share on other sites More sharing options...
silver24-7 Posted June 30, 2006 Share Posted June 30, 2006 Has been done before.... Btw seriously 88% ? as in 12% off ???? And you call that a formula ?? Lol try to egt success irl with 12% off formulas ;) you wont. I'm Finally 99 mage ^^ (and cooking...) :PSilver24-7 - Link to comment Share on other sites More sharing options...
dark_lord_fil Posted June 30, 2006 Share Posted June 30, 2006 I really don't see why you would want to use a quartic regression curve, it would seem much more appropriate to use a curve tha increases over its entire length, for example an exponential curve. A quartic will at some point bend the other way, to have a negative gradient, although this will probably be in an irrelevant region. Infact you could probaby achieve a good looking curve with any higher even order you wanted. With regards to the impossibility of the quintic formula, this is I believe true. The calculator does not use a formula it uses a numerical aproximation method, probably with succesive iterations of Newton-Raphson or similar methods. Also can't you use your USB connector to send that graph to your computer as an image? And actually Casio is much better than TI :D Remember your country code, and SHUT THE GATES! Link to comment Share on other sites More sharing options...
Atomic_Boss Posted June 30, 2006 Share Posted June 30, 2006 Don't care if this was posted before: http://maddogcarter.com/phil/runescape/xpformula.html (Around level 120 you hit 100M experience. 200M experience is 8M shy of levle 127, which means 126 is the current experience cap.) once again Makato owns everyone. RS + the number 126 = conspiracy Link to comment Share on other sites More sharing options...
Baemnt13 Posted June 30, 2006 Share Posted June 30, 2006 Hmm, if they raised the level cap, most of the top 50 are already gonna be level's 110+ with the amount of xp they have... On a side note... Geeks ftw... I tell the truth even when I lie. Link to comment Share on other sites More sharing options...
glasabarn Posted June 30, 2006 Share Posted June 30, 2006 Found this on a forum, dno if it's right tho Level 2 - 83 xp Level 3 - 174 xp Level 4 - 276 xp Level 5 - 388 xp Level 6 - 512 xp Level 7 - 650 xp Level 8 - 801 xp Level 9 - 969 xp Level 10 - 1154 xp Level 11 - 1358 xp Level 12 - 1584 xp Level 13 - 1833 xp Level 14 - 2107 xp Level 15 - 2411 xp Level 16 - 2746 xp Level 17 - 3115 xp Level 18 - 3523 xp Level 19 - 3973 xp Level 20 - 4470 xp Level 21 - 5018 xp Level 22 - 5624 xp Level 23 - 6291 xp Level 24 - 7028 xp Level 25 - 7842 xp Level 26 - 8740 xp Level 27 - 9730 xp Level 28 - 10824 xp Level 29 - 12031 xp Level 30 - 13363 xp Level 31 - 14833 xp Level 32 - 16456 xp Level 33 - 18247 xp Level 34 - 20224 xp Level 35 - 22406 xp Level 36 - 24815 xp Level 37 - 27473 xp Level 38 - 30408 xp Level 39 - 33648 xp Level 40 - 37224 xp Level 41 - 41171 xp Level 42 - 45529 xp Level 43 - 50339 xp Level 44 - 55649 xp Level 45 - 61512 xp Level 46 - 67983 xp Level 47 - 75127 xp Level 48 - 83014 xp Level 49 - 91721 xp Level 50 - 101333 xp Level 51 - 111945 xp Level 52 - 123660 xp Level 53 - 136594 xp Level 54 - 150872 xp Level 55 - 166636 xp Level 56 - 184040 xp Level 57 - 203254 xp Level 58 - 224466 xp Level 59 - 247886 xp Level 60 - 273742 xp Level 61 - 302288 xp Level 62 - 333804 xp Level 63 - 368599 xp Level 64 - 407015 xp Level 65 - 449428 xp Level 66 - 496254 xp Level 67 - 547953 xp Level 68 - 605032 xp Level 69 - 668051 xp Level 70 - 737627 xp Level 71 - 814445 xp Level 72 - 899257 xp Level 73 - 992895 xp Level 74 - 1096278 xp Level 75 - 1210421 xp Level 76 - 1336443 xp Level 77 - 1475581 xp Level 78 - 1629200 xp Level 79 - 1798808 xp Level 80 - 1986068 xp Level 81 - 2192818 xp Level 82 - 2421087 xp Level 83 - 2673114 xp Level 84 - 2951373 xp Level 85 - 3258594 xp Level 86 - 3597792 xp Level 87 - 3972294 xp Level 88 - 4385776 xp Level 89 - 4842295 xp Level 90 - 5346332 xp Level 91 - 5902831 xp Level 92 - 6517253 xp Level 93 - 7195629 xp Level 94 - 7944614 xp Level 95 - 8771558 xp Level 96 - 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1.8343757671610303e+21 xp Level 429 - 2.0253150486598488e+21 xp Level 430 - 2.2361291071111058e+21 xp Level 431 - 2.4688866983821574e+21 xp Level 432 - 2.7258719141325e+21 xp Level 433 - 3.009606596011656e+21 xp Level 434 - 3.3228750829400065e+21 xp Level 435 - 3.6687515343220606e+21 xp Level 436 - 4.0506300973196976e+21 xp Level 437 - 4.4722582142222116e+21 xp Level 438 - 4.937773396764315e+21 xp Level 439 - 5.451743828265e+21 xp Level 440 - 6.019213192023312e+21 xp Level 441 - 6.645750165880013e+21 xp Level 442 - 7.337503068644121e+21 xp Level 443 - 8.101260194639395e+21 xp Level 444 - 8.944516428444423e+21 xp Level 445 - 9.87554679352863e+21 xp Level 446 - 1.090348765653e+22 xp Level 447 - 1.2038426384046624e+22 xp Level 448 - 1.3291500331760026e+22 xp Level 449 - 1.4675006137288242e+22 xp Level 450 - 1.6202520389278782e+22 xp Level 451 - 1.7889032856888846e+22 xp Level 452 - 1.975109358705726e+22 xp Level 453 - 2.180697531306e+22 xp Level 454 - 2.4076852768093235e+22 xp Level 455 - 2.6583000663520052e+22 xp Level 456 - 2.9350012274576485e+22 xp Level 457 - 3.2405040778557564e+22 xp Level 458 - 3.5778065713777693e+22 xp Level 459 - 3.950218717411452e+22 xp Level 460 - 4.361395062612e+22 xp Level 461 - 4.815370553618647e+22 xp Level 462 - 5.3166001327040104e+22 xp Level 463 - 5.870002454915297e+22 xp Level 464 - 6.481008155711513e+22 xp Level 465 - 7.1556131427555385e+22 xp Level 466 - 7.900437434822904e+22 xp Level 467 - 8.722790125224e+22 xp Level 468 - 9.630741107237294e+22 xp Level 469 - 1.0633200265408021e+23 xp Level 470 - 1.1740004909830594e+23 xp Level 471 - 1.2962016311423026e+23 xp Level 472 - 1.4311226285511077e+23 xp Level 473 - 1.5800874869645807e+23 xp Level 474 - 1.7445580250448e+23 xp Level 475 - 1.9261482214474588e+23 xp Level 476 - 2.1266400530816042e+23 xp Level 477 - 2.3480009819661188e+23 xp Level 478 - 2.592403262284605e+23 xp Level 479 - 2.8622452571022154e+23 xp Level 480 - 3.1601749739291615e+23 xp Level 481 - 3.4891160500896e+23 xp Level 482 - 3.8522964428949176e+23 xp Level 483 - 4.2532801061632084e+23 xp Level 484 - 4.6960019639322376e+23 xp Level 485 - 5.18480652456921e+23 xp Level 486 - 5.724490514204431e+23 xp Level 487 - 6.320349947858323e+23 xp Level 488 - 6.9782321001792e+23 xp Level 489 - 7.704592885789835e+23 xp Level 490 - 8.506560212326417e+23 xp Level 491 - 9.392003927864475e+23 xp Level 492 - 1.036961304913842e+24 xp Level 493 - 1.1448981028408862e+24 xp Level 494 - 1.2640699895716646e+24 xp Level 495 - 1.39564642003584e+24 xp Level 496 - 1.540918577157967e+24 xp Level 497 - 1.7013120424652833e+24 xp Level 498 - 1.878400785572895e+24 xp Level 499 - 2.073922609827684e+24 xp Level 500 - 2.2897962056817723e+24 xp Glasabarn out Link to comment Share on other sites More sharing options...
tewas Posted June 30, 2006 Share Posted June 30, 2006 Lagrange Interpolation is basicly n-th degree polynomial function that represents curve going thru all the data points, in the smothest posible way (so that curve has a derivative at any given point). it's used for estimating something based on previuos, known data. i wouldn't do only 4th degree polynomial for experience, it has way too big error for corect estimations. more about Lagrange is on google, who's intresting 1500+ total 89 cmb; 1600+ total and under 93 cmb. 02/04/07 reached all skills 60+ under lvl 90 cmb. 07/19/07 reached all skills 70+ at lvl 93 cmb.Prayer is good for herbs Link to comment Share on other sites More sharing options...
Skateboy600 Posted June 30, 2006 Share Posted June 30, 2006 :-s huh? how in the heck do u kno that?!?!?!?!?!?!?!?!?! #-o wow!!!!!!!! omg not even my nerdy dad knows that!!!! thanks Aijiru for the awesome sig :) Link to comment Share on other sites More sharing options...
rooneyrules0 Posted June 30, 2006 Share Posted June 30, 2006 Thats all well and good A much simpler way to look at it is: The xp for a skill doubles every 7 levels that you raise. So level 106 would be around 26mil xp Ah! Finally I understand! :anxious: I'm a bit stupid :) ̢̢̮ââ¬Ã¢Ã¢â∠Link to comment Share on other sites More sharing options...
atlantis Posted June 30, 2006 Share Posted June 30, 2006 :shock: holy crud dude where do you come up with this stuff :shock: drops: dragon-- none barrows-- none tzhaar---- obby shield (1), obby cape (1) Link to comment Share on other sites More sharing options...
Death9991 Posted June 30, 2006 Share Posted June 30, 2006 Nerds of the world Unite but seriously i did it on a ti- 84 and its 100% right =D> nice work tho []*̢̮â¬Å¡ÃâÃÂ´ÃÆÃ¢â¬Å¡Ãâè) ̢̮â¬Å¡Ãâø.̢̮â¬Å¡ÃâÃÂ·ÃÆÃ¢â¬Å¡ÃâÃÂ´ÃÆÃ¢â¬Å¡Ãâø.̢̮â¬Å¡Ãâ÷*̢̮â¬Å¡ÃâÃÂ´ÃÆÃ¢â¬Å¡Ãâè) ̢̮â¬Å¡Ãâø.̢̮â¬Å¡Ãâ÷*̢̮â¬Å¡Ãâè) (̢̮â¬Å¡Ãâø.̢̮â¬Å¡ÃâÃÂ·ÃÆÃ¢â¬Å¡Ãâô (̢̮â¬Å¡Ãâø.̢̮â¬Å¡Ãâ÷*______Now Look Down Link to comment Share on other sites More sharing options...
trebor4312 Posted June 30, 2006 Share Posted June 30, 2006 This is where the TI-84 shines: I ran a quartic data regression model on my lists to find a formula that is as accurate as possible. Bear in mind that this produces a polynomial expression of degree 4. I'd like to put a caveat on this formula. Yeh well i can quardilate triplacte inquations in my head :^o (im just jealous cos i thought i was clever but i have no idea what that means :wall: ) ahahaha IMA A IDIOT cant argue there mateReal world? *looks around confuzzled* Real world?!? :ohnoes:have now quit rs :-( (but i still browse these forums :-) Link to comment Share on other sites More sharing options...
Amishdoom Posted June 30, 2006 Share Posted June 30, 2006 Ya, you could do that ooorrrr you could just simply download RSDemon. It already has the equation written out in a much less confusing way. I don't make the rules, I break them... May your bloodthirst be never stated, and may all your battles be glorious. Zamorak brings you strength! Link to comment Share on other sites More sharing options...
Amishdoom Posted June 30, 2006 Share Posted June 30, 2006 And also if you consider yourself going beyond level 99 (more than 13034431 xp), then the maximum level you can go in any skill is 126 at 188,884,740 experience, because you cannot go any higher than 200,000,000 experience in any skill in RS. \ . W00t! I don't make the rules, I break them... May your bloodthirst be never stated, and may all your battles be glorious. Zamorak brings you strength! Link to comment Share on other sites More sharing options...
Goobore Posted June 30, 2006 Share Posted June 30, 2006 There have been a lot of posts on the Experience vs Level formula and using Search can reveal a wealth of information. Nevertheless... The Experience vs Level equation appears to follow this function from "Phil". I don't know where Phil got that equation. A post by Wallyweams explained how to manipulate Phil's formula into a more conventional form. Basically, the steps are: 1) Replace Floor(Stuff) with (Stuff + 1/2) The Floor function throws data away so we have to add back in a sort of average value for what was thrown away. 2) Perform the Sum function (that's the funny looking E thingy) using formulas from here. 3) Clean up the resulting expression and you end up with Exp ~= A*2^(L/7) + B*L^2 + C*L + D In other words, the proper form of the Experience vs Level function is an exponential plus a polynomial. The constants A, B, C, and D come straight from Phil's formula. The trouble with this answer is that it's not 100% accurate so we need to do step 4 4) Do a "Least Squares" curve fit on the basic form from step 3. The idea here is that we need to fix what we did in step #1. We do that by adjusting the values of A, B, C, and D until we get good results. Wally went ahead and did that except he went and made it perfect all the way to over level 126 (which is where the 200 million experience cap is). To do that he increased the polynomial until it was 5th degree. His final form that gives 100% accuracy is: I have modified the continuous form of the skill experience formula to exactly match Phil's formula up to level 132. (Btw, level 132 is about 342 million experience for a single skill) The modified formula is: Experience = floor(A*(2^(L/7)-2^(1/7)) + B*L^5 + C*L^4 + D*L^3 + E*L^2 + F*L + G) Where L is the Level. So now it's an exponential function plus a 5th degree polynomial with A = 720.533673767946 B = 3.54298390625729e-09 C = -1.0176384179772e-06 D = 9.69859806900786e-05 E = 0.121741672963253 F = -0.2074127222877 G = 0.139103528112173 This matches 100% with the 100 known Runescape exp values, and matches Phil's values for levels 101 to 132. This version of the formula shows us a few things -- It's basically an exponential function -- the needed experience, roughly, doubles every 7 levels. That means if you have level 50 in a skill then you have to earn, roughly, all of that experience all over again just to reach level 57. We could also use other functions for the formula (polynomial, rational polynomials, exponential of a polynomial, etc) But Wally's form is nice because it is derived straight from Phil's form. That is, it's a continuous form of Phil's equation. Now that we know a continuous form of the function that suggests that the inverse of the function would be logarithmic. For example, here is an inverse Experience function. Let E be your experience Then compute x = naturallog(E+1) The your level is approximately Level = (A*x^5 + B*x^4 + C*x^3 + D*x^2 + E*x + 1)/(F*x^4 + G*x^3 + H*x^2 + J*x + 1) where A, B, C, D, and E are 0.00565991302624555 -0.0980045250107375 0.683889491465737 -2.15204562908116 2.48782566542775 and F, G, H, and J are 0.000567384324887069 -0.00650538625289637 0.0415346760409815 -0.201061667538983 The inverse Experience function is nice because it tells you how far you are through a level. (Although there are easier ways to do that) For the inverse function we use the Natural Log function to "straighten out" the curve and then we fit it to a ratio of polynomials. A ratio of polynomials was used instead of a single polynomial because having a polynomial in the denominator allows us an extra amount of "wiggleness" to better fit the function. So, if anyone cares, there it is. Sorry in advance for all of the boring and confusing stuff. Hope this helps. (And yes, the numbers are ugly.) Link to comment Share on other sites More sharing options...
jayc3399 Posted June 30, 2006 Share Posted June 30, 2006 i think my iq dropped 10 points by reading this :shock: Only 10? I think mine is all gone, sooooo confused. Quest Cape Achieved on November 14, 2007Items AcquiredCrystal Pick and HatchetBerzerker Ring x 33/28 Barrows Items Link to comment Share on other sites More sharing options...
Soma2035 Posted July 1, 2006 Share Posted July 1, 2006 I was just about to do this today... cause my friend wants me to help him write a fansite and I was wondering if it would be worthwhile to post the formula. For all those non-math nerds, regression is a function built into your calculator that uses 2 lists of inputted data to approximate a line of best fit. So for example, if you gave your calculator the values (1,2), (2,3), and (3,4), and told it to run a linear regression, it would calculate a straight line that fits those 3 points. Namely, X+1 = Y. So he told his calculator to run very messy formulas and found it. :lol: Want to learn to Nex? The Nex Hunters are recruiting! Click for more information! Link to comment Share on other sites More sharing options...
Username012 Posted July 1, 2006 Share Posted July 1, 2006 I was just about to do this today... cause my friend wants me to help him write a fansite and I was wondering if it would be worthwhile to post the formula. For all those non-math nerds, regression is a function built into your calculator that uses 2 lists of inputted data to approximate a line of best fit. So for example, if you gave your calculator the values (1,2), (2,3), and (3,4), and told it to run a linear regression, it would calculate a straight line that fits those 3 points. Namely, X+1 = Y. So he told his calculator to run very messy formulas and found it. :lol: Yes, but like Goobre posted with the exp formula by Phil, that's already done. So I think you're friend's fansite is pretty much all set for the exp formula... next up: combat! (That's my guess lol) Link to comment Share on other sites More sharing options...
clownzor Posted July 1, 2006 Share Posted July 1, 2006 Wow, what a formula. Maybe this one is a little bit easier: exp needed for lvl * 1.10411419 = next lvl (got the number by dividing the levels) example: lvl 75-76 75: 1,210,421 76: 1,336,443 now the calculations: 1,210,421 * 1.10411419 = 1,336,443 Try it with the other levels, im not kidding :P However, that number is different at the lower lvls, havent found that out yet. Link to comment Share on other sites More sharing options...
bookrhino Posted July 1, 2006 Share Posted July 1, 2006 Clown, that looks about right...I noticed about a month ago that the XP need for the next level in a skill was about 10% greater than the XP I had received thus far (sorry if that was confusing). So yeah, that sounds about right (for a simplified formula)... Link to comment Share on other sites More sharing options...
Shadow_skin Posted July 1, 2006 Share Posted July 1, 2006 Now repeat that in English please, I can't be arsed going on http://www.geek.com to find the translator. :lol: Link to comment Share on other sites More sharing options...
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