Can I claim an exemption from withholding? It's my first time filing taxes ever.

Hello! I just got my first job after graduating college and my employer is having me fill out my W-4 form. I was wondering if I could claim an exemption from withholding for 2015. The two conditions on the Employee's Withholding Allowance Certificate form that I have to meet to claim the exemption are: 

1) Last year I had a right to a refund of all federal income tax withheld because I had no tax liability, and 
2) This year I expect a refund of all federal income tax withheld because I expect to have no tax liability. 

If I meet both conditions, I can write "Exempt" in box #7. Can I do this? Because I've never filed taxes before, I technically had no tax liability last year. Thank you for your time!"