forecast vs prediction

forecast and prediction both are nouns.

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

As nouns, prediction is a hypernym of forecast; that is, prediction is a word with a broader meaning than forecast:

Other hypernyms of forecast include forecasting, foretelling, prognostication.

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

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