How to generate equispaced interpolating values

Question

I have a list of (x,y) values that are not uniformly spaced. Here is the archive used in this question.

I am able to interpolate between the values but what I get ar

Answer 1

The following script will interpolate points with a equal step of x_max - x_min / len(x) = 0.04438

import numpy as np
from scipy.interpolate import interp1d
import matplotlib.pyplot as plt

data = np.loadtxt('data.txt')
x = data[:,0]
y = data[:,1]

f = interp1d(x, y)
x_new = np.linspace(np.min(x), np.max(x), x.shape[0])
y_new = f(x_new)

plt.plot(x,y,'o', x_new, y_new, '*r')
plt.show()