Is tthe following statement dependent clause? So Chad bought a new bat

Yes.

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The statement "So Chad bought a new bat" is an independent clause, not a dependent clause. An independent clause is a complete sentence that can stand on its own. It expresses a complete thought and can form a complete sentence by itself.

To determine if a statement is a dependent clause, we look for a subject and a verb but also check if it expresses a complete thought or not. In this case, "So Chad bought a new bat" has a subject ("Chad") and a verb ("bought"), and it expresses a complete thought. Therefore, it is an independent clause.