#198 Linear interpolation

# Linear interpolation
from scipy.interpolate import interp1d
import matplotlib.pyplot as plt
plt.style.use("seaborn-poster")
x = [0, 1, 2]
y = [1, 3, 2]
f = interp1d(x, y)
y_hat = f(1.5)
print(y_hat)
my_dpi=100
plt.figure(figsize = (795/my_dpi,447/my_dpi),dpi=my_dpi)
plt.plot(x, y, "-ob")
plt.plot(1.5, y_hat, "ro")
plt.title("Linear Interpolation at x = 1.5")
plt.xlabel("x")
plt.ylabel("y")
plt.savefig('ex198.png', dpi=my_dpi)
plt.show()