homework_2018_1_03_1038414799.ipynb

Kernel: Python 3

%pylab inline
import pandas as pd
from scipy import interpolate

#Defining three random points
df=pd.DataFrame({'x': [-4.3,2.5,15.], 
             'y': [-3.,15.0,12.5]    }   )

#Plotting the points
plt.plot(df.x,df.y, 'go')
plt.grid()

Populating the interactive namespace from numpy and matplotlib

/usr/local/lib/python3.4/dist-packages/IPython/core/magics/pylab.py:160: UserWarning: pylab import has clobbered these variables: ['f']
`%matplotlib` prevents importing * from pylab and numpy
  "\n`%matplotlib` prevents importing * from pylab and numpy"

#Interpolating the points using KroghInterpolator scipy function
f=interpolate.KroghInterpolator([-4.3,2.5,15.],[-3.,15.0,12.5])

#Ploting the funcition and the three points
X=np.linspace(-4.3,15.)
plt.plot(X,f(X),'b')
plt.plot(df.x,df.y, 'go')
plt.grid()