I have two lists of data points:
list_x = [-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49]
list_y = [1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
When I plot them, the graph will look like this:
import matplotlib.pyplot as plt
plt.plot(list_x, list_y)
plt.show()
Based on these datapoints, is there a way to make the graph that looks like the one below and get its graph equation?
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I have tried using the solution from here, and it produces a graph that is not smooth.
from scipy.interpolate import spline
import numpy as np
list_x_new = np.linspace(min(list_x), max(list_x), 1000)
list_y_smooth = spline(list_x, list_y, list_x_new)
plt.plot(list_x_new, list_y_smooth)
plt.show()
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