"I would like to test the correlation between these two variables"
Let's take a step back. Why do you want to test the correlation? What is it that you're hoping to show? That the variables are related? What is your research question here?
That's all well and good but I think everybody is sidetracked on the (in my opinion) irrelevant discussion on sample size. They posted a sample/example of their data which wasn't intended to be the full dataset (at least for the data on the left) as far as I could tell.
@GAL Can you provide...
To respond to your first post - the point being made was that if you're doing something like stepwise selection it is dubious to look at the raw p-value for the predictors in the final model that you select.