The 60-second version. No jargon, we promise.
When you start a job, you fill out a Form W-4. It's basically a note to your employer that says: "set aside about this much of my pay for my taxes."
You can update it whenever your situation changes. It's your form, your call.
That's all "withholding" is: pre-paying your taxes a little at a time, automatically, so you never face the whole bill at once.
That's all a refund is: your own money coming back because the bucket overfilled. When you file your return, the year's withholding is counted against your bill. Set aside more than you owed? Refund. Less? You pay the difference. Most people's numbers don't match exactly, and that's fine.
The federal scholarship tax credit comes straight off your tax bill. You set aside the very same amount as before, so the bucket overfills by an extra $1,700.
Since that $1,700 is coming back to you anyway, you don't have to set it aside all year. Set aside about $65 less per paycheck, send that same $65 to scholarships instead, and your take-home pay stays exactly the same.
Illustration with rounded example numbers; your amounts depend on your pay and tax situation. "Set aside for taxes" here covers federal, state, Social Security, and Medicare together, to keep the idea simple. Withholding choices are always your own election on Form W-4. In plain words: this is a simplified picture, not tax advice. Please review your own numbers with your accountant or tax professional, starting with the IRS pages below.
Learn more: IRS · Tax Withholding · IRS · About Form W-4