Could be a dead cell in your battery ?
The 2001 Buick Regal has a V6 engine.
The 2004 Buick Regal has a V6 engine.
The 2003 Buick Regal has a V6 engine.
The 2002 Buick Regal has a V6 engine.
The 2011 Buick Regal has an inline 4 engine.
The 2014 Buick Regal has an inline 4 engine.
The 2013 Buick Regal has an inline 4 engine.
The 2012 Buick Regal has an inline 4 engine.
LH front corner of the engine compartment.
Look at the lower rear end of the engine - follow + battery cable
The 2004 Buick Regal has a 3.8 L base engine size.
The 2003 Buick Regal has a 3.8 L base engine size.