You can find the answer to your question in TEMA-STANDARDS OF THE TUBULAR EXCHANGER MANUFACTURERS ASSOCIATION. For example for plain carbon steel, the following values of E modulus will be accepted:

T [F] E,[ lbf/in^2]

200   28.5

400   27.4

600   26.4

800   23.9

1000  20.1

Generally, when temperature increases so does elongations. Therefore, it can be said that young modulus is inversely proportional to the temperature.

Please find enclosed link describing this relationship in different steels.

http://www.engineeringtoolbox.com/young-modulus-d_773.html

As you know  the increase of temperature the elongation increased   Therefore  young modulus is inversely proportional to the temperature.

When you increase the temperature the E is decreaseing  because the distance between atoms is increase