The above picture plots real investment in private fixed assets in the oil and gas extraction industry and the average real price per barrel of oil in the U.S. over time. The spike in oil prices in the late seventies is accompanied by a large spike in investment in the oil and gas industry.
Here are some casual explanations:
1) The change in value of the oil these firms hold in reserves gets valued as investment. This leads to a correlation between oil prices and investment, although the fact that firms held onto these reserves at a time of such high prices suggests they thought prices were going to stay that high. Basically you'd expect them to disinvest in reserves at this point.
2) The q-theory of investment says that when the ratio of the market value of assets goes above their replacement cost firms will invest.
What's strange about this is that more fashionable models of investment under uncertainty suggest that firms wouldn't react so strongly to a large move like this in oil prices because their future path is uncertain. I would have expected a more muted response, although it's possible that firms believed that oil prices had hit a new permanently high plateau.