Correct spelling, explanation: the word collegiate has its origin in the Latin word collegiatus, which referred to a member of some community, such as a corporation or college. The word entered English in the middle of the 15th century and today collegiate is still associated with students and college matters.

Definition of collegiate:
1. adjective – describes something that belongs to a college or college students;
He belongs to a collegiate rugby team and is one of its best players.

Collocations with collegiate:
Some typical collocations include collegiate university, collegiate sports, collegiate level.
It is a collegiate university that consists of 4 colleges.
Some typical collegiate sports include rugby, football, and baseball.
He has been teaching English on a collegiate level for five years.

Incorrect spelling, explanation: the adjective collegiate has quite an unusual spelling and is often mistakenly spelled as collegate as many users of English tend to forget that there is the -i letter in the middle of the word. Therefore, next time you write collegiate make sure you spell it right.