Infer is a verb meaning to come to a conclusion based on evidence or reasoning. It can be done in a variety of ways, such as by gleaning information from available sources (5 letters: GLEAN), forming an educated GUESS based on the evidence (10 letters: CONJECTURE), assuming something to be true without proof (7 letters: PRESUME), drawing a conclusion based on clues (4 letters: DRAW), forming an opinion based on imagination (7 letters: IMAGINE), interpreting a HINT (4 letters: HINT), making an assumption (4 letters: MAKE), inducing a conclusion (6 letters: INDUCE), collecting evidence (7 letters: COLLECT), deciding based on facts (6 letters: DECIDE), believing something without proof (7 letters: BELIEVE), guessing (5 letters: GUESS), coming to a conclusion (8 letters: CONCLUDE), interpreting (4 letters: READ), deriving a conclusion (5 letters: EDUCE), deducing a conclusion (6 letters: DEDUCE), deriving from a source (6 letters: DERIVE), divining a conclusion (6 letters: DIVINE), gathering evidence (6 letters: GATHER), surmising (7 letters: SURMISE), interpreting a text (8 letters: CONSTRUE), and reading into a situation (8 letters: READINTO).