forecast vs predict

forecast is a noun but predict is not a noun.

Word	Noun	Adjective	Verb	Adverb
forecast	Yes	No	Yes	No
predict	No	No	Yes	No

As verbs, predict is a hypernym of forecast; that is, predict is a word with a broader meaning than forecast:

Other hypernyms of forecast include anticipate, call, forebode, foretell, prognosticate, promise.

As verbs, forecast and predict are synonyms defined as:

Other synonyms of forecast include augur, auspicate, betoken, bode, foreshadow, foretell, omen, portend, prefigure, presage, prognosticate.

forecast (noun)	predict (noun)
a prediction about how something (as the weather) will develop

forecast (verb)	predict (verb)
judge to be probable	make a prediction about; tell in advance
predict in advance	indicate, as with a sign or an omen
indicate, as with a sign or an omen