Explain it

Polar Ice Core CO2 data spans many thousands of years and covers a large expanse of time when there is no historical evidence that Man had any significant activity - and the data clearly shows cyclic warming and cooling cycles, and that EVEN WHEN MAN IS NOT A FACTOR, CO2 levels start rising AFTER warming starts. Given the statistical "noise" in the data that spans only a hundred years is much greater that the data spanning thousands of years, when there is a conflict between the 50-100 years of data in some studies that support anthropogenic global warming and the thousands of years of data that do not support anthropogenic global warming, exactly what is the evidence of anthropogenic global warming?SHOW WHERE I AM WRONG