python-scipyHow do I use Python and SciPy to fit an exponential curve?
To fit an exponential curve with Python and SciPy, the curve_fit
function from scipy.optimize
can be used.
The curve_fit
function takes a function with the desired curve shape as an argument, as well as the data points to fit the curve to.
For example, to fit an exponential curve to data points xdata
and ydata
:
from scipy.optimize import curve_fit
import numpy as np
def func(x, a, b, c):
return a * np.exp(-b * x) + c
popt, pcov = curve_fit(func, xdata, ydata)
The popt
variable contains the best-fit parameters for the curve, and pcov
contains the covariance of the parameters.
Parts of the code:
from scipy.optimize import curve_fit
: imports thecurve_fit
function from SciPyimport numpy as np
: imports the NumPy librarydef func(x, a, b, c):
: defines the function for the exponential curve, with parametersa
,b
, andc
popt, pcov = curve_fit(func, xdata, ydata)
: usescurve_fit
to fit the data points to the defined exponential curve
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