If global warming was caused by CO2 (which it isn’t), warming rate (rate-of-change of average global temperature) instead of (as usually presented) the temperature itself would vary with the CO2 level. To be valid, the comparison should be between the temperature and the time-integral of CO2 level and/or the time-integral of any other factor(s) proportional to energy rate (such as TSI).
Thus any co-plot of CO2 level and temperature or any other implication that average global temperature depends directly on CO2 level is misleading and physically and mathematically wrong.
An analysis at http://agwunveiled.blogspot.com
derives a physics-based equation which, using the time-integral of forcings, accurately calculates the uptrends and down trends of average global temperatures irrespective of whether CO2 change is included or not. The paper at this link discloses:
1. A reference which provides historical evidence that CO2 change does not cause climate change.
2. The two factors that do explain climate change. The correlation is 95% with measured average global temperatures since before 1900; including the current plateau. The analysis also predicts the ongoing down trend of average global temperature.
3. An explanation of why any credible CO2 change does not cause significant climate change.
The two factors are also identified in a peer reviewed paper published in Energy and Environment, vol. 25, No. 8, 1455-1471.