The IRS offers a tool to help you estimate your EIC:
https://www.irs.gov/credits-deductions/individuals/earned-income-tax-credit/use-the-eitc-assistant
https://www.irs.gov/credits-deductions/individuals/earned-income-tax-credit
Edited a few minutes later....
Oh, and if you are able to report earned income and you have a dependent child under the age of 17 who has a SSN, you may also end up getting some child tax credit. For the $7000 you mentioned, the refundable part of CTC would be $650-675ish
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