Linear Regression Using Scipy.odr Fails (not Full Rank At Solution)

so was trying a linear regression with scipy.odr. However, it failed miserably. scipy.odr has worked for me before, and I don't see any errors in my code. The only reason I can thi

Solution 1:

import numpy as np
import matplotlib.pyplot as plt

fig = plt.figure()
ax1 = fig.add_subplot(111)
x   = np.linspace(0,1E15,10)
y   = 1E-15*x-2    
ax1.set_xlim(-0.05E15,1.1E15)
ax1.set_ylim(-2.1, -0.7)    
ax1.plot(x, y, 'o')
# Fit using odr


def f(B, x):
    return B[0]*x + B[1]

sx = np.std(x)
sy = np.std(y)
linear = Model(f)
mydata = RealData(x=x,y=y, sx=sx, sy=sy)
myodr = ODR(mydata, linear, beta0=[1.00000000e-15, 2.])
myoutput = myodr.run()
myoutput.pprint()

a, b = myoutput.beta
sa, sb = myoutput.sd_beta

xp = np.linspace(min(x), max(x), 1000)
yp = a*xp+b
ax1.plot(xp,yp)
plt.show()