Write a Python Code for the problem.
Write a Python Code for the problem.
Hooke's law, which holds when a spring is not stretched too far, signifies that the
extension of the spring and the applied force are linearly related. The proportionality is
parameterized by the spring constant k. A value for this parameter can be established
experimentally by placing known weights onto the spring and measuring the resulting
compression. Such data were plotted in the given figure. Notice that above a weight of 40
xx10^(4)N, the linear relationship between the force and displacement breaks down. Use a
linear regression to match the linear part, and use a quadratic polynomial regression to
match the curved portion. Then, use a piecewise function to define the behavior over the
entire range. Verify by plotting the piecewise function together with the data points and
discussing results.