There was an advantageous correlation between these variables which
was that the variables with positive value had bigger magnitudes than variables with negative value.
is the grammatically correct one. As for your other question,
As the process proceeded, these values became lower. The reason for
this is/was that they are/were highly dependent on the
resources which are/were consumed as the process
proceeds/proceeded.
you can use consistent 'past tense' or consistent 'present tense'. e.g.
As the process proceeded, these values became lower. The reason for
this is that they are highly dependent on the resources which are
consumed as the process proceeds.
As the process proceeded, these values became lower. The reason for
this is that they were highly dependent on the resources which were
consumed as the process proceeded.
As the process proceeded, these values became lower. The reason for
this was that they were highly dependent on the resources which were
consumed as the process proceeded.
The reason for this is the specialness of the "be" verb. Used alone "be" states things in simple truth versions. In "There was an .." the verb "be" is talking about a state of things that was in the past, and is no longer in the present. In "..became lower..", the state of things became that state of things and it still is in the present.
This sentence
As the process proceeded, these values became lower. The reason for
this is that they are highly dependent on the resources which
were consumed as the process proceeded.
is also grammatically correct. You can separate the two clauses "The reason for this is that they are highly dependent on the resources" and "which were consumed as the process proceeded.". You can use "is" or "was" with "reason" provided the "reason" has "not expired"(the reason is no longer valid). If the reason is no longer valid, you have to use the past tense.
Your previous questions also ask about correctness of grammar tenses in long to very long sentences which comprised of many clauses. You can avoid the complexity by opting for smaller simple sentences. Or if you absolutely must have long sentences, I suggest you take up reading old English literature. They are full of long sentences with many clauses. One particular example is "Das Capital" (English translation version).
Also you could have had the courtesy of mentioning your previous question in this question by sharing the link to the previous question in the body of this question.