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Not only can you file a tax return and,perhaps receive a refund, if your income exceeds certain levels which change each year, you are required to file. Visa status has nothing to do with this requirement.
Here is a statement from the IRS to help you see this.
IRS TAX TIP 2012-02, January 4, 2012
You are required to file a federal income tax return if your income is above a certain level, which varies depending on your filing status, age and the type of income you receive. However, the Internal Revenue Service reminds taxpayers that some people should file even if they aren't required to because they may get a refund if they had taxes withheld or they may qualify for refundable credits.To find out if you need to file, check the Individuals section of the IRS website at www.irs.gov or consult the instructions for Form 1040, 1040A or 1040EZ for specific details that may help you determine if you need to file a tax return with the IRS this year. You can also use the Interactive Tax Assistant available on the IRS website. The ITA tool is a tax law resource that takes you through a series of questions and provides you with responses to tax law questions.
Even if you don't have to file for 2011, here are six reasons why you may want to:
Eligible individuals can claim a significant portion of their payments made for qualified health insurance premiums.For more information about filing requirements and your eligibility to receive tax credits, visit www.irs.gov.