The phrase "a negative relation to" is correct and usable in written English.
It can be used when discussing the connection or association between two variables or concepts, particularly in academic or analytical contexts.
Example: "The study found a negative relation to increased screen time and academic performance among students."
Alternatives: "an inverse relationship with" or "a detrimental connection to".
Firm size bears a negative relation to first-day market-adjusted returns.
The release rates demonstrated a negative relation to increasing cross-linked density attributed to decreasing void fractions and increasing tortuosities.
Clinician ratings of patient functioning showed a positive relation to employability (P =.05), whereas patient self-ratings showed a trend toward a negative relation to employability (P =.09).
In contrast, compared to internal block funding, competitive project funding has a negative relation to novelty for low status scientists (especially junior and female researchers).
Finite human beings, however, are portrayed in a negative relation to God in that they are created to serve and praise God and are pained by their own sinfulness.
Correlation analyses revealed significant and positive associations of the P-Scale with self-esteem, life satisfaction, optimism, and a latent factor variable of positivity, and a negative relation to depression.
When considering job-specific characteristics, it turns out that the corporate hierarchy has a significant negative relation to overeducation.
According to Fig. 7, learning out-of-class (asked in E1) has a weak negative relation to both the slopes and intercepts.
We found that the former had an unexpectedly negative relation to specialty preference, particularly among female students and those whose favourite specialty matched their preferred specialty, while the latter had a significant positive relation to specialty preference (model 3).
The interest rate on loans and core CPI exhibit a significant and negative relation to private sector credit.
Unfortunately, in practice, these factors often stand in negative relation to one another.
