Everyone is missing the monetary element.
The Federal Reserve controls the money supply. The Fed makes money cheap in order to allow the economy to grow quickly. Cheap money makes it easier to get capital for investment and reduces interest rates so consumers can get loans. Cheap money creates an economic boom. This economic boom pushes up demand for commodities like oil, wheat, copper, steel, etc.
As demand grows faster than supply, the price of commodities jumps. Then manufacturing prices jump...then retail prices...
Then the Fed decides that the economy is growing too quickly and pulls the reins in, pushing up interest rates, crashing speculative bubbles, and bringing us into recession.
The boom years push up oil prices, recessions pull them back to Earth.
It's not the high oil prices that are causing the recession. They are just a symptom of an underlying monetary phenomenon.

Doesn't that look like a better correlation than this one:
