The best replacement for causal is correlational.

The best alternatives to causal are rated as following:
★★★★★  correlational
★★★  non causal
★★★  casual
★★★  descriptive
★★  causative
★★  noncausal
★  effectual
★  descriptive hypothesis
★  associative
★  acausal
  correlated
  teleological
  causal

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Google Trends

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causal
correlational
non causal