Okay, now returning to the original question, you've determined an inverse correlation between salinity and alkalinity in marine samples.
You've got me excited. (OK, I'm easily impressed with science topics.) You want to know if the correlation is significant.
Well, lets see for starters, what sort of noise (variance) is there in your samples? I don't see much info on Google, so it's not the most obvious thing in the world, but maybe oceanologists talk about it among themselves all the time.