General update of several files with to do list

doc/src/Regression/Regression.do.txt

@@ -592,6 +592,37 @@ print(sgdreg.intercept_, sgdreg.coef_)
 
 
 
+!split
+===== Polynomial Regression =====
+!bc pycod
+# Importing various packages
+from math import exp, sqrt
+from random import random, seed
+import numpy as np
+import matplotlib.pyplot as plt
+
+m = 100
+x = 2*np.random.rand(m,1)+4.
+y = 4+3*x*x+ +x-np.random.randn(m,1)
+
+xb = np.c_[np.ones((m,1)), x]
+theta = np.linalg.inv(xb.T.dot(xb)).dot(xb.T).dot(y)
+xnew = np.array([[0],[2]])
+xbnew = np.c_[np.ones((2,1)), xnew]
+ypredict = xbnew.dot(theta)
+
+plt.plot(xnew, ypredict, "r-")
+plt.plot(x, y ,'ro')
+plt.axis([0,2.0,0, 15.0])
+plt.xlabel(r'$x$')
+plt.ylabel(r'$y$')
+plt.title(r'Random numbers ')
+plt.show()
+
+!ec
+
+
+
 
 
 !split