Hello, Philip—You are welcome to say hello to me or to other individual members if you are replying to something they have said. However, an opening post of a thread should not be addressed to me or to any other member or subset of members. The question, in effect, is put to the forum as a whole.
I saw this phrase - well, I think it is a phrase - on an advertising billboard and I found it interesting: The insight you need to succeed.
When I parse the sentence, it draws 2 NP's at the beginning:
The main verb is: need.
Initially I thought the sentence would equate to: The Insight [that] you need to succeed, but I am having doubts.
Am I correct or is something else happening with those two NP's?
That's right, for the most part. What you seem not to understand is that "the insight you need to succeed" is not a sentence. It is a noun phrase. The noun phrase is headed by the noun "insight."
The "you need to succeed" part is a relative clause from which the relative pronoun (in this case, "that" or "which") has been omitted. Relative pronouns can be omitted when they function as objects within restrictive relative clauses.
"The insight you need to succeed" can be rephrased "the insight that you need to succeed" or "the insight which you need to succeed." The relative pronoun, co-referent with "insight," functions the direct object of "succeed."
@Philip posted:
Incidentally, in another parser, [you] is labelled as the subject and [insight] is labelled as a (TMP) temporal phrase which I have not studied.
"You" is indeed the subject of the relative clause "[which] you need to succeed," just as "you" is the subject of the sentence "You need this insight to succeed." I have no idea what you mean by calling "insight" a "temporal phrase."