Confess is related to Admit. Admit is related to Confession. you are likely to find Courtroom in/at/on Confession. Courtroom is a synonym of Court. 
Correlation is a type of Statistics. Statistics can Prove. Prove is a synonym of Establish. 
Confess <--RelatedTo--> Admit <--RelatedTo--> Confession <--AtLocation-- Courtroom <--Synonym--> Court 
Correlation --IsA--> Statistics --CapableOf--> Prove <--Synonym--> Establish 