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import numpy as np
import matplotlib.pyplot as plt

# Define values for ln(sqft)
ln_sqft = np.linspace(5, 8, 100)  # Assuming ln(sqft) ranges from 5 to 8

# Regression equations
ln_hprice_non_colonial = -0.677 + 0.815 * ln_sqft
ln_hprice_colonial = (-0.677 + 0.054) + 0.815 * ln_sqft

# Plot the regression lines
plt.figure(figsize=(8, 6))
plt.plot(ln_sqft, ln_hprice_non_colonial, label="Non-Colonial", linestyle="--", color="blue")
plt.plot(ln_sqft, ln_hprice_colonial, label="Colonial", linestyle="-", color="red")

# Labels and title
plt.xlabel("ln(Square Feet)")
plt.ylabel("ln(House Price)")
plt.title("Regression Lines for Colonial vs Non-Colonial Houses")
plt.legend()
plt.grid(True)

# Show plot
plt.show()