Here is my code for the assignment below. Not able to get it to run. Can not use Scipy. Duck.txt is attahched.

import numpy as np from numpy import interp from numpy import polyfit from numpy import poly1d import matplotlib.pyplot as plt

import warnings warnings.simplefilter('ignore', np.RankWarning)

import numpy as np x0 = np.array(0.1) x = np.linspace(0, 1) y = np.linspace(0, 1)

def main(): x = [] y = []

with open('duck.txt') as f: for line in f: line = line.strip().split() x.append(float(line[0])) y.append(float(line[1]))

x = np.array(x) y = np.array(y)

f = np.interp(x0, x, y)

y1 = polyfit(x, y, 5) y11 = poly1d(y1) y2 = polyfit(x, y, 10) y22 = poly1d(y2) y3 = polyfit(x, y, 15) y33 = poly1d(y3) y4 = polyfit(x, y, 20) y44 = poly1d(y4) ''' c = np.interp(x, y, kind = 'cubic') ''' fig = plt.figure() plt.plot(x, y, 'o', label = 'Data') plt.plot(x, y11(x), 'r', label = ' Least Squares m = 5') plt.plot(x, y22(x), 'g', label = 'Least Squares m = 10') plt.plot(x, y33(x), 'b', label = 'Least Squares m = 15') plt.plot(x, y44(x), 'm', label = 'Least Sqaures m = 20') plt.suptitle("Least Squares Approx of Duck's Back") plt.axis([0, 14, -6, 4]) plt.legend(loc = 'lower left') plt.show()

figg = plt.figure() plt.plot(x, y44(x), 'r', label = 'Least Sqaures m = 20') plt.plot(x, f(x), 'b', label = 'Lagrange') plt.suptitle('Lagrange vs. Least Squares Approx') plt.axis([0, 14, -6, 4]) plt.legend(loc = 'lower left') plt.show()

figgg = plt.figure() plt.plot(x, y44(x), 'r', label = 'Least Sqaures m = 20') plt.plot(x, f(x), 'b', label = 'Lagrange') plt.plot(x, c(x), 'k', label = 'Cubic Splines') plt.suptitle('Cubic Spline Approx') plt.axis([0, 14, -6, 4]) plt.legend(loc = 'lower left') plt.show()

input()

if __name__ == '__main__': main()

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