Template:Metrics/Capture return/doc

Multiplier	Adjustment	Rate
x1	Template:Control Point Timing/Decay	%
x2	Template:Control Point Timing/Decay	%
x3	Template:Control Point Timing/Decay	%
x4	Template:Control Point Timing/Decay	%
x5	Template:Control Point Timing/Decay	%
x6	Template:Control Point Timing/Decay	%
x7	Template:Control Point Timing/Decay	%
x8	Template:Control Point Timing/Decay	%
x9	Template:Control Point Timing/Decay	%
x10	Template:Control Point Timing/Decay	%
x11	Template:Control Point Timing/Decay	%
x12	Template:Control Point Timing/Decay	%
x13	Template:Control Point Timing/Decay	%
x14	Template:Control Point Timing/Decay	%
x15	Template:Control Point Timing/Decay	%
x16	Template:Control Point Timing/Decay	%
x17	Template:Control Point Timing/Decay	%
x18	Template:Control Point Timing/Decay	%
x19	Template:Control Point Timing/Decay	%
x20	Template:Control Point Timing/Decay	%
x21	Template:Control Point Timing/Decay	%
x22	Template:Control Point Timing/Decay	%
x23	Template:Control Point Timing/Decay	%
x24	Template:Control Point Timing/Decay	%

These decay rates were determined by creating a map with a 100 second capture point, then using Puppet Bots to capture said point. I am unable to derive a simple equasion that explains these values. These times were generated using a SourceMod script as follows:

ADDITION: Using the data provided by Org, Excel comes up with a logarithmic regression formula of y = 0.9019ln(x) + 0.8738 with a coefficient of determination of R² = 0.9975. This is the closest formula to date that matches the data points provided.

#include <sourcemod>
 
public Plugin:myinfo =
{
	name = "Capture Timing",
	author = "Org",
	description = "Console out debug info",
	version = "1.0.0.2",
	url = "example.org"
};

public OnPluginStart()
{
	HookEvent("controlpoint_starttouch", Event_StartCapture)
	HookEvent("teamplay_point_captured", Event_EndCapture)
}

public Action:Event_StartCapture(Handle:event, const String:name[], bool:dontBroadcast)
{
	new Float:time = GetEngineTime()
	PrintToServer("Control Point Entered : %f", time)
	return Plugin_Continue
}

public Action:Event_EndCapture(Handle:event, const String:name[], bool:dontBroadcast)
{
	new Float:time = GetEngineTime()
	PrintToServer("Control Point Captured: %f", time)
	return Plugin_Continue
}