Did CO2 Precede Warming or Vice Versa?

Any aspiring or junior deputy economists of the more scientific strain know the answer?

I saw this chart and unfortunately I do not have the time to go and find the data, but just eye-balling it, it looks like CO2 follows the temperature, not precedes it, ergo is not causing it. And since the data points are in excess of 400,000 even a small shift to the left would indicate a couple score of years.