new_contents: import numpy as np
  import matplotlib.pyplot as plt
  import pwlf
  
  # https://stackoverflow.com/questions/29382903/how-to-apply-piecewise-linear-fit-in-python
  
  x = np.array([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15])
  y = np.array([5, 7, 9, 11, 13, 15, 28.92, 42.81, 56.7, 70.59, 84.47, 98.36, 112.25, 126.14, 140.03])
  
  # pwlf has two approaches to perform your fit:
  # 1. You can fit for a specified number of line segments.
  # 2. You can specify the x locations where the continuous piecewise lines
  # should terminate.
  
  # Approach 1
  my_pwlf = pwlf.PiecewiseLinFit(x, y)
  # breaks will return the end location of each line segment
  breaks = my_pwlf.fit(2)
  print(breaks)
  # The gradient change point you asked for is at breaks[1]
  
  x_hat = np.linspace(x.min(), x.max(), 100)
  y_hat = my_pwlf.predict(x_hat)
  
  plt.figure()
  plt.plot(x, y, 'o')
  plt.plot(x_hat, y_hat, '-')
  plt.show()
subject: add stack overflow answer to examples