Can a formula be used to modify data patterns from linear to wave-like?

[Faultline369]

If a pattern is found between two sets of data and one is linear and the other resembles a wave, is there some type of modification to make the wave linear? (so that it is related easier to the linear data).

Like a formula that when the linear data is plugged in, it will produce the wave data?

Example
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
1,2,3,4,5,6,5,4,3, 2,_1,_2,_3,_4,_5,_6,_5,_4,_3,_2, etc.


Thanks for your time!

 

[CRGreathouse]

Depends on what you want the wave output to look like. At the simplest level, take the sine of the data (or take a * sin (bx) if you need different periods and amplitudes).