Update app.py

app.py

@@ -49,8 +49,8 @@ def run_linear_regression(X, y, alpha_prior, beta_prior, sigma_prior):
 # User Input
 st.write("# Bayesian Linear Regression")
 
-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(\alpha) = N(\mu_0, \Sigma_0) \hspace p(\beta) = N(\mu_1, \Sigma_1) \hspace p(\sigma) = N(\mu_2, \Sigma_2)''')
+st.latex(r'''p(y | X, \beta,\alpha, \sigma) = N(X\beta + \alpha, \sigma)''')
 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)''')