@brebrepherson - that is likely.
$52k of income less the standard deduction of $25.9k leaves taxable income of $26.1k.
The tax on that is approximately $2900. But from that subtract $4000 for the tax credits related to the two children (who I assume are both under 17 years old and live with you). So even if nothing is withheld, your federal tax refund should be in the $1100 range.
