Let's say I'm given x=[11,60,150,200] and y=[800,500,400,90] These are just random numbers (but imagine the solution is in the form of y=a*exp(b*t)
Now, I want to find what 'a' and 'b' are. This is what I'm thinking to do, but I'm not sure if it's correct:
So, if I take ln of both sides of the above equation, I'll get ln(y)= ln(a) +bx. This is in the form of y=mx+b (linear equation).
x= [10, 55, 120, 180]
y= [750, 550, 300, 100]
so now I found the constants for my above LINEAR equation. To find 'a' and 'b' from 'y=a*exp(b*t)', should I now raise the linear constants I found to e? (e^aPrime = a, e^bPrime= b) ?
Is this how I find 'a' and 'b'?