About 80 % of ethylene in the U.S. is produced from ethane feedstock, so theoretically the price of ethylene should vary with ethane. And ethane, which has two markets – liquid petchem feedstock or rejected into natural gas should see its price vary with the price of natural gas.
As shown in the graph below, the relationship between natural gas and ethane has behaved as expected, with a good correlation over the past year. But for several months last year from June until November (green area in graph), ethylene ramped higher while gas and ethane moved lower.
This was due to several steam cracker outages which tightened the ethylene market. Once those crackers came back into service, ethylene fell back in line and has been reasonably well correlated with the other two products (blue area in graph).
As long as the ethylene market remains balanced, this correlation can be expected to continue. However, the U.S. ethylene market is tightly balanced and can easily be thrown into a long or short position by cracker maintenance or other market events.