The company offered little 'by way of explanation' for the delays. [=as a way of explaining why there were delays]
Some of the more technical terms need/require 'explanation'. [=they need to be explained]
a likely/probable/possible/plausible 'explanation of' how the accident occurred
(..) But..we..we saw your skeleton. - You were dead. - Are you a ghost? There had better be, an amazing explanation for this. Speak, apparition. Okay, okay, okay, okay. You both deserve the truth. It all started back at the observatory. Roxanne was kidnapped, I was gonna (..)2010 Megamind