Hi,
I would like to use JMP to solve for y in an equation of the form y = f(y,x). A more precise equation is attached. This problem seem similar to that discussed in Numerical solver add-in, although a clear solution is not mentioned.
In the attached equation, y is response, x is predictor, and a - k are fitting parameters.
What is the best way for JMP to tackle this? I am using JMP11. Thanks!
Hi,
I will make an assumptions: You have a series of data points with both x and y measured.
The way I have handled this in the past since you have an implicit equation, is to recast it as an explicit equation by creating a new function.
If you subtract the left hand elements from both sides you get an equation equal to zero.
0 = right hand(x,y) - left hand(x,y)
Now substitute a variable for zero so you have a new equation.
z = right hand(x,y) - left hand(x,y)
Now set Z at all points equal to 0 (zero) and solve as a multi-variable problem.
Caveat I have not done a rigorous error analysis on this technique, but just used in the past with success.
Good Luck.
Andy
Hi,
I will make an assumptions: You have a series of data points with both x and y measured.
The way I have handled this in the past since you have an implicit equation, is to recast it as an explicit equation by creating a new function.
If you subtract the left hand elements from both sides you get an equation equal to zero.
0 = right hand(x,y) - left hand(x,y)
Now substitute a variable for zero so you have a new equation.
z = right hand(x,y) - left hand(x,y)
Now set Z at all points equal to 0 (zero) and solve as a multi-variable problem.
Caveat I have not done a rigorous error analysis on this technique, but just used in the past with success.
Good Luck.
Andy
Thanks Hegedus, that works!