What do you mean by linearizing a nonlinear curve? I can think of many ways to do that. But no matter what, a nonlinear function is not linear.
For example, one thing you MIGHT be looking to do is to log it. So if your data is
x = -5:5;
y = 2*exp(x/3) + 1;
plot(x,y,'o')
Then we might decide to just take log(y). Of course, that would fail sometimes, because logs of negative numbers will be complex.
plot(x,log(y),'o')
Is that linearized? Not really, because the log of the sum of terms is nothing special.
Or, are you hoping to approximate the relationship using a linear approximation? For example, a truncated Taylor series? Since all you have is the data, that is not really an option. But nothing stops you from using polyfit.
P1 = polyfit(x,y,1)
So the linear approximation model is just
syms x
vpa(P1(1)*x + P1(2))
But while there are many things you MIGHT be thinking about to linearize this model, until you explain more clearly what you mean by the word "linearize" it is impossible to help you more.
You might even post your data, if you want better help yet.
