Final answer:
In this sentence, the subject is "Linguistics," the predicate is "is valuable to us in many ways," and the sentence is an independent clause. The prepositional phrase is "of study," and the noun phrase is "a discipline that connects to many other fields of study."
Step-by-step explanation:
In the sentence, "Linguistics, a discipline that connects to many other fields of study, is valuable to us in many ways," the subject is "Linguistics," the predicate is "is valuable to us in many ways," and the complete sentence is an independent clause.
There are no dependent clauses in this sentence.
The prepositional phrase is "of study," which modifies the noun "fields."
The noun phrase is "a discipline that connects to many other fields of study," which functions as the subject of the sentence.