Statistically analyze fluctuating relationship

#1
Hi guys, I've entered some uncharted territory and I'm not sure how to proceed. I need to quantify how two variables fluctuate together over time.

In my study, I had ten sequential blocks of trials on a psychological task (block 1=first, block 10=last). For each block of trials my DVs are 1) average reaction times (RTs) to a target stimulus, and 2) average brain wave amplitude to the same target stimulus.

When I plot the data in a line graph over time (i.e., by block), these two DVs appear to be roughly anti correlated with one another (see attached graph image)

Visually this relationship is pretty stunning, but I need a good way to represent the relationship statistically to show that the variables are indeed anti-correlated. I doubt a simple linear correlation will work here, so my question is, what test should I use to assess the strength of this relationship? Any help would be appreciated!

JS