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Guide Wynn Math - Skill Point Calculator

Discussion in 'Wynncraft' started by kokonut_pi, Mar 14, 2016.

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  1. kokonut_pi

    kokonut_pi ( ~ ' - ' ) ~ HERO

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    As everyone knows, the % Boost by Skill Points is no longer linear thanks to the new system. I was curious and decided to plot out a graph/equation for the Skill Points vs % Boost. Here's the results:

    First up, the data. I had to use a Skill Reset Scroll and recorded the stats one by one as I added Skill Points to them:

    Skill Point | % Boost

    0 | 0
    1 | 1
    2 | 2
    3 | 2.9
    4 | 3.9
    5 | 4.9
    6 | 5.8
    7 | 6.7
    8 | 7.7
    9 | 8.6
    10 | 9.5
    11 | 10.4
    12 | 11.3
    13 | 12.2
    14 | 13.1
    15 | 13.9
    16 | 14.8
    17 | 15.7
    18 | 16.5
    19 | 17.3
    20 | 18.2
    21 | 19
    22 | 19.8
    23 | 20.6
    24 | 21.4
    25 | 22.2
    26 | 23
    27 | 23.8
    28 | 24.6
    29 | 25.3
    30 | 26.1
    31 | 26.8
    32 | 27.6
    33 | 28.3
    34 | 29
    35 | 29.8
    36 | 30.5
    37 | 31.2
    38 | 31.9
    39 | 32.6
    40 | 33.3
    41 | 34
    42 | 34.6
    43 | 35.3
    44 | 36
    45 | 36.6
    46 | 37.3
    47 | 37.9
    48 | 38.6
    49 | 39.2
    50 | 39.9
    51 | 40.5
    52 | 41.1
    53 | 41.7
    54 | 42.3
    55 | 42.9
    56 | 43.5
    57 | 44.1
    58 | 44.7
    59 | 45.3
    60 | 45.8
    61 | 46.4
    62 | 47
    63 | 47.5
    64 | 48.1
    65 | 48.6
    66 | 49.2
    67 | 49.7
    68 | 50.3
    69 | 50.8
    70 | 51.3
    71 | 51.8
    72 | 52.3
    73 | 52.8
    74 | 53.4
    75 | 53.9
    76 | 54.3
    77 | 54.8
    78 | 55.3
    79 | 55.8
    80 | 56.3
    81 | 56.8
    82 | 57.2
    83 | 57.7
    84 | 58.1
    85 | 58.6
    86 | 59.1
    87 | 59.5
    88 | 59.9
    89 | 60.4
    90 | 60.8
    91 | 61.3
    92 | 61.7
    93 | 62.1
    94 | 62.5
    95 | 62.9
    96 | 63.3
    97 | 63.8
    98 | 64.2
    99 | 64.6
    100 | 65

    Thanks to @Nyam it was found to be a cubic function.

    Here's the equation between the relationship of number of Skill Points vs % Boosted by Skill Points:

    Let x = Number of Invested Skill Points
    Let y = % Boosted by Skill Points


    [​IMG]

    You can simplify it into:

    [​IMG]

    If you ever want to make a Skill Point setup for a build, feel free to use this equation to find out just how much Skill Points can get you. This should also work with Skill Points above 100 (boosted by gear), just substitute x for the number of Skill Points you have and your result would be very close to the percentage boosted by that number.

    For example, I want to find out how much Mana Cost can be decreased by having 120 Intelligence. I sub x for 120:

    [​IMG]

    y = 72.4883 rounded to 1 decimal place = 72.5

    If I have 120 Points invested into Intelligence, I would use 72.5% less mana than normal.

    Shoutout to @Dacleos for getting me interested in finding the formula, as well as providing data for initial calculations, @Nyam for being awesome and showing that it was in fact a cubic function, not quadratic.
     
    Last edited: Mar 14, 2016
  2. SeanThomas2

    SeanThomas2 Famous Adventurer CHAMPION

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    Remember that the max for skill points is 150 which equals 80%
     
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  3. Nyam

    Nyam egg QA HERO

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    But it isn't a quadratic, it's more like a cubic thingy if you graph some more points after 100
    [​IMG]
    (Top line is cubic, the one that curves down is quadratic)
     
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  4. Power :3

    Power :3 Drowned in projects VIP+

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    uwotwhatisthis
     
  5. kokonut_pi

    kokonut_pi ( ~ ' - ' ) ~ HERO

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    @Nyam was that on excel? I didn't find a cubic function on Excel so I dismissed it XD

    I'll update the thread, thanks!
     
  6. Nyam

    Nyam egg QA HERO

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    Yes, I just got a bunch of values from people and let Excel make some trendlines for me
    It might also be two quadratics which change at 100, that's also possible. It does seem to curve down slightly after 100 though, so it's not linear after 100 for sure
     
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  7. SilverMirror

    SilverMirror Retired IM HERO

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    For an equation to be quadratic , the graph must have one maxima or minima
    For an equation to be cubic, the graph must have one maxima and one minima
    If the graph is limited within certain value of x and no maxima or minima is shown, you can only say it is an exponential function
     
  8. kokonut_pi

    kokonut_pi ( ~ ' - ' ) ~ HERO

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    Having no experience in Excel, I had to manually enter every value and selected a function from the list it gave me. According to Excel, quadratic was best fit.

    I was shifting between the possibilities of rectangular parabolic function or cubic function, neither of which was on my Excel's list of functions. I had to go with the next best which was quadratic.

    Might be my low understanding to fully operate Excel functions, but Nyam has already corrected me.
     
  9. SilverMirror

    SilverMirror Retired IM HERO

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    You know there's sth wrong when you substitute x= 0 and y doesnt equal to 0 ( ´ ▽ ` )ノ
    No but seriously great work on trying to find the equation for skill points
    However if there should not be any constants as y=0 when x=0
     
  10. kokonut_pi

    kokonut_pi ( ~ ' - ' ) ~ HERO

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    If you round 1043/10000 to 1 decimal place it becomes 0.1%, which is probably small enough that the admins decided to ignore it. What sense would it make for everyone to have 0.1% in every skill point at the start?
     
  11. Deactivated

    Deactivated Well-Known Adventurer VIP+

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    Amazing. Great job in working it out, this aught to help people a ton ^-^
     
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  12. Chickenometry

    Chickenometry A chicken that does trigonometry

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    Just a side note
    y=x^3 is a cubic function but it has neither a maxima nor a minima :) It only has a point of inflexion

    But normally speaking, a cubic function has 1 maxima and 1 minima
     
  13. SilverMirror

    SilverMirror Retired IM HERO

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    You're right, I totally forgot about point of inflexion lol
    Yeh I hvnt studied advance maths since I took up biomed as my major lol
     
  14. kioph

    kioph ahh yes heavy melee hmm yes

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    THA MATH! THA MATH!
     
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  15. Demogarose

    Demogarose Well-Known Adventurer VIP+

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    Amazing, bookmarking this.
     
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  16. Moose_Cow

    Moose_Cow O R A

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    Next, you should make a xp needed to level up chart. +1 swag support
     
  17. RemRin

    RemRin Goddess of Air HERO

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    this is why i will never pass my math exam tomorrow...
     
  18. SilverMirror

    SilverMirror Retired IM HERO

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    Playing Wynn probably doesn't help xd :P
     
  19. Grvphene

    Grvphene Wiki guru VIP+

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    The xp needed to level up does not follow a formula, as it is set by Salted himself to fit the xp gained by quests and mobs at that level. He just manually put up a table with the xp values.
     
  20. DragonEngineer

    DragonEngineer Famous Adventurer HERO

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    It looks more logarithmical to me
     
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