In an effort to appear normal.  Saul approached Samuel to ask him to walk with him.  After his fall from grace he was stripped of authority and wanted to wrap himself with a sense of belonging by associating himself with the man of God.  

Sometimes saying I am sorry will not restore even when going to worship. People expect you because you a Christian people expect you to forgive them and receive them even when they keep doing wrong

Scripture: 1 Samuel 15:30

Then He said, I have sinned: yet honor me now, I pray thee, before the elders of my people, and before Israel, and turn again with me, that I may worship the LORD thy God.