And just to clarify my own answer, we are talking about the "kiddie tax" and there are two ways to approach this.
The section for "report a child's income on your return" only applies to your child, which is not the case.
However, if you are under age 24 and have certain types of income, then your income can be subject to the higher kiddie tax rates instead of the normal rates, and you may be asked some extra questions and you will see a higher rate in some cases. See @Hal_Al 's answer for your options.
Note that if you report the income in the educational section, you should delete the 1099-G from that section. If the IRS sends an automated letter asking about the 1099-G, you can explain that you reported it in the scholarship section.
