diff --git a/movielens-recommendation-system.Rmd b/movielens-recommendation-system.Rmd
index e50d5d6..794ef36 100644
--- a/movielens-recommendation-system.Rmd
+++ b/movielens-recommendation-system.Rmd
@@ -144,7 +144,7 @@ method_string <- paste("Naive method using average rating of", as.character(mu_h
 rmse_results <- tibble(method = method_string, RMSE = naive_rmse)
 
 
-rmse_results
+#rmse_results
 ```
 
 ####  Movie Effect Model
@@ -351,7 +351,7 @@ rmse_results <- bind_rows(rmse_results, tibble(method=final_method, RMSE = lambd
 The final RMSE does not seem to depend greatly on lambda to a high degree of precision.  Optimizing lambda to the integer level seems sufficient.
 
 ```{r rmse results, echo=FALSE}
-print.data.frame(rmse_results)
+#print.data.frame(rmse_results)
 
 ```
 
diff --git a/movielens-recommendation-system.pdf b/movielens-recommendation-system.pdf
index 44f8bf5..2e08746 100644
Binary files a/movielens-recommendation-system.pdf and b/movielens-recommendation-system.pdf differ