Jerry, single and age $22,$ is a full$-$time student at State University. $$He received and used a $$15,000$ scholarship for tuition and books in $2023.$Jerry earned $$6,300$ from a part$-$time job during $2023.$His employer withheld $$1,500$ for Federal income taxes. He also earned $$3,000$ of interest on certificates of deposits during the year.

Jerry$$s parents, Morty and Helen, are married, provide over half of his support, and claim him as a dependent. Jerry$$s lives with his parents during the summers, but stays in campus housing during the school year. Morty and Helen are in the $32\%$ income tax bracket for $2023.$

Required:

a$.$ Determine Jerry$$s taxable income for $2023.$

b$.$ Determine Jerry$$s income taxes for $2023$ assuming that he takes advantage of any available tax credits $($based on the information provided$).$

c$.$ Is Jerry required to file a Federal income tax return for $2023?$ Should he$?$ Explain.