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"non-linear correlation" is a correct and usable phrase in written English
It is typically used in statistical or scientific contexts to describe the relationship between two variables that does not follow a straight line. Example: The study found a strong non-linear correlation between a person's age and their physical activity levels. As individuals got older, their activity levels initially decreased, but then began to increase again after a certain age.
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Fig. 1 Linear vs. Non-linear correlation between the duration of two activities.
For all collections, observations revealed both high and low/almost non-linear correlation between the metrics.
The ISQ scale has a non-linear correlation to micro mobility.
Next, we analyze the linear and non-linear correlation between neighborhood overlap (NO) and absolute frequency of interaction (W).
Therefore, a large block VQ is needed to fully exploit the linear and non-linear correlation in a data source.
By contrast, plotting ALMP spending against benefit replacement rates reveals a fairly strong non-linear correlation across countries (right-hand panel of Figure 7).
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The selected linear and non-linear correlations are validated by using experimentally determined higher heating values of biomass.
The liquid phase non-idealities are modeled both by highly non-linear correlations and standard thermodynamic methods.
The Schmidt hammer and the sound velocity tests exhibit significant non-linear correlations with the compressive strength of rock.
Both linear and non-linear correlations existed between the reinforcement indices of fibers and σ ε characteristics of UHSM.
It may be that the relationship between SIS and relative volumes of spam is not linear as Spearman's coefficient indicates both linear and non-linear correlations.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com