I am working with an exponential least square fitting problem, where I have the following data points:
* In year 0 the value is 2
* in year 1 the value is 196
* in year 2 the value is 16 000
* in year 3 the value is 520 000
* in year 4 the value is 16 240 000
Now I have the following formula, which models the data y=a1*e^(a2*x), where x is the year and y is the value. My task is that I need to find the optimal parameters in a= (a1 a2)^T, but I am struggling quite a bit with this and was wondering if anyone could help me.