How much money can I earn without paying state or federal taxes?

Here is a chart
Tax Tables / Tax Bracket Rates (http://www.themoneyalert.com/Tax-Tables.html)

I know that under $10 thousand you get all your federal back if anything was taken out. At least that is what happens for me, my kids and my friends.
A lot depends on if you are single, married, have kids etc... what the amount is