What is the Biblical basis for Unconditional Election? Calvin, among his other points includes the point that we are Unconditionally Elected and chosen by God alone and nothing we can do can help or hurt this fact. What is the Biblical basis for this?
Unconditional Election refers to God's choosing of people to be the object of his grace or otherwise fulfill his purpose. 

There are a couple of versus specifically that are associated with this.

Romans 8:29:


  For those whom he foreknew he also predestined to be conformed to
  the image of his Son, in order that he might be the firstborn among
  many brothers.


and 1 Peter 1:1-2


  1 Peter, an apostle of Jesus Christ, 
  
  To those who are elect exiles of the dispersion in Pontus, Galatia,
  Cappadocia, Asia, and Bithynia, 2 according to the foreknowledge of
  God the Father, in the sanctification of the Spirit, for obedience to
  Jesus Christ and for sprinkling with his blood: 
  
  May grace and peace be multiplied to you.


The idea is that God knew these people beforehand and chose these people to be saved.  It's a similar concept to predestination.

The Calvinist argument can be found here