Does the amount of rainfall relate to temperatures of a place?
Yes, with exceptions 

Rainfall is related to temperature. However temperature is not the only thing that dictates rainfull. 

In general, the more hot a place is, the more water evaporates and the more rainfall is able to be produced. 

For example, the equator has a belt of rain-forests precisely because it receives the highest amount of heat from the sun and thus high amounts of rain-fall.

However, not all hot places make a lot of rain. Deserts occur when there is a lack of rain fall. Yet deserts can occur in cold temperatures (the north pole) and hot temperatures (Sahara desert).

To sum, temperature is certainly related to the amount of rainfall. However, you can't just presume the level of rainfall by temperature as many other factors are invovled.