Update 05-ch5.Rmd

05-ch5.Rmd

@@ -1,4 +1,4 @@
-# Hypothesis Tests and Confidence Intervals in the Simple Linear Regression Model {#htaciitslrm}
+# Hypothesis Tests and Confidence Intervals in SLR Model {#htaciitslrm}
 
 This chapter continues our treatment of the simple linear regression model. The following subsections discuss how we may use our knowledge about the sampling distribution of the OLS estimator in order to make statements regarding its uncertainty.
 
@@ -1312,17 +1312,17 @@ if (my_output=="html") {
 
 In the simple regression model, the covariance matrix of the coefficient estimators is denoted
 
-\\begin{equation}
-\\text{Var}
+
+$$\\text{Var}
   \\begin{pmatrix}
     \\hat\\beta_0 \\
     \\hat\\beta_1
   \\end{pmatrix} = 
 \\begin{pmatrix}
   \\text{Var}(\\hat\\beta_0) & \\text{Cov}(\\hat\\beta_0,\\hat\\beta_1) \\\\
 \\text{Cov}(\\hat\\beta_0,\\hat\\beta_1) & \\text{Var}(\\hat\\beta_1)
-\\end{pmatrix}
-\\end{equation}
+\\end{pmatrix}$$
+
 
 The function <tt>vcovHC</tt> can be used to obtain estimates of this matrix for a model object of interest.
 
@@ -1448,4 +1448,3 @@ The function <tt>DGP_OLS()</tt> and the estimated variance <tt>est_var_OLS</tt>
 
 </div>')}
 ```
-