Which word set completes the analogy? chat : talk : :

sigh : frustrated pain : moan sorrow : tears scribble : write

The correct answer is "scribble: write."

The word set that completes the analogy is "scribble: write."

To chat is to have a light informal conversation with another person. It could be person to person or using an electronic device as Watts up or any social media chat. To talk is to have a more formal or serious conversation with another person.  

The set that completes the analogy is "scribble: word." To scribble is to draw or write something very quickly without paying much attention to the style. It could be a careless piece of drawing. On the other hand, to write is to make marks that represent words that have some meaning.

an expression designed to call something to mind without mentioning it explicitly; an indirect or passing reference.

as for symbolic actions, the narrator's tearing down the wallpaper in an attempt to find the "woman" in the wallpaper represents her struggle to retain or regain her sanity.   the wallpaper has been part of her confinement and by her tearing it down, she is freeing herself from that confinement.