Update app.py

app.py

@@ -49,7 +49,10 @@ def run_linear_regression(X, y, alpha_prior, beta_prior, sigma_prior):
 # User Input
 st.write("# Bayesian Linear Regression")
 
-st.write(f"### Y = \u03B1 + \u03B2X + \u03C3")
+st.latex(r'''p(\beta) = N(\mu_0, \Sigma_0)''')
+st.latex(r'''p(y | X, \beta, \tau) = N(X\beta, \tau^{-1}I)''')
+st.latex(r'''p(\beta | X, y, \tau) \propto p(y | X, \beta, \tau) p(\beta)''')
+st.latex(r'''p(\tau | X, y, \beta) \propto p(y | X, \beta, \tau) p(\tau)$''')
 alpha_prior_option = st.selectbox("Choose an option for alpha prior:", ["Normal", "Laplace", "Cauchy"])
 if alpha_prior_option == "Normal":
     alpha_loc = st.slider("Select a mean value for alpha", -10.0, 10.0, 0.0, 0.1)