How to get a smooth formula for values

[NinjoOnline]

I am wanting to return a multiplier, based on 2 values

function MonsterLevels:GetMultiplier(zoneNumber, monsterLevel)
	local Multiplier = zoneNumber * (monsterLevel + 1)
	
	return Multiplier
end

monsterLevel goes from level 0 to 3. I need it return numbers similar to these


and so on…

I assume a specific formula is impossible for these exact values, but I want something that returns something similar to the numbers given

[Glitching_Dreams (Him)]

You could look to a parabola equation;

e.g:

[JarodOfOrbiter]

It’s fairly similar to this pattern.
1.15^(n-1)

I think it needs to proceed like this for future zones.
1.15^(level-1) + 1.5*zone

[NinjoOnline]

That returns 2.5 for zone 1, level 1 tho

[NinjoOnline]

Is there a way I can convert that into lua

[Glitching_Dreams (Him)]

y = Multi
x = Level
a & b = any number, but because it helps align with the values you’re going for; 0.04
c = Starting y basically, so 1

Your equation would basically look like the following:

Multi = (a * Level^2) + (b * Level) + c
y = 0.04x^2 + 0.04x + 1

[JarodOfOrbiter]

Sorry last bit should be +1.5*(zone-1)

[blokav]

If you’re willing to make a small compromise and adjust your values to follow a pattern like this (which is similar to yours):

Then that can be represented by a simple linear formula:

function MonsterLevels:GetMultiplier(zoneNumber, monsterLevel)
	local trueZone = zoneNumber + monsterLevel / 4
	local multiplier = trueZone / 2 + 0.5
	return multiplier
end

(‘trueZone’ is a combination of the zone and level values)

[NinjoOnline]

I need to incorporate the zoneNumber too, not just a level value

[Glitching_Dreams (Him)]

Seeing as you have 2 [+0.15]'s in the chart for Zone 2, I don’t see a plausible formula for such a chart that’s also consistent with the chart seen in Zone 1.
However, you seem to be adding a mode-average of 0.5 to the slots from Zone 1, so perhaps you could use an additional formula for deciding a multiplier/adder to the chart’s “Multi” depending on the Zone. Or just adding a fixed value if that’s what you’re into.