prediction vs forecast

prediction and forecast both are nouns.

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

As nouns, forecast is a hyponym of prediction; that is, forecast is a word with a more specific, narrower meaning than prediction:

prediction (noun)	forecast (noun)
the act of predicting (as by reasoning about the future)	a prediction about how something (as the weather) will develop
a statement made about the future

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