a linear correlation with

USAGE SUMMARY

The phrase "a linear correlation with" is correct and usable in written English.
It can be used when discussing the relationship between two variables in statistics or research. Example: "The study found a linear correlation with the increase in temperature and the rate of ice melting."

✓ Grammatically correct

Science

Science & Research

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

It appears that all devices show a linear correlation with the slopes very close to 1, indicating that the bimolecular recombination in the devices is negligible66.

Nature

Terahertz lasers built in the lab had previously had operating temperatures (grey region) whose maximum values suggested a linear correlation with frequency.

Massachusetts Institute of Technology

Upstream attenuation rates of runup and maximum water level show a linear correlation with wave height parameters at the 100 m depth contour and may provide some predictive capabilities for potential tsunami impacts at analogous locations.

Nature

The gradients of the trend lines (i.e. the rates of attenuation shown by the dotted lines in Fig. 6b) are dependent on and follow a linear correlation with Hmax values at the boundary condition (R2 = 0.96).

Nature

The standard free energy of binding revealed a linear correlation with the number of functional groups in polyamine.

Polymer

However, the ΔTm values show a linear correlation with apparent molal heat capacity and volume of aqueous polyol solutions including glycerol.

Biophysical Chemistry

The simulations confirm that both 137Cs and 106Ru will provide a linear correlation with burnup when exclusively applied to MOX fuel assemblies.

Nuclear Engineering and Design

Specific energy and resistance to drilling reveal a linear correlation with DRI, while alteration index has a polynomial correlation with DRI.

Journal of Petroleum Science and Engineering

For example, at low anode potentials (⩽0.2 V), the kinetics have a linear correlation with CNT surface area indicating the sp2 conjugated sidewall sites are dominant.

Carbon

The analysis was conducted by Dr Xi Li of Wuhan University in China, whose team found that the night-light loss showed a linear correlation with the number of people internally displaced from each Syrian province.

The Guardian

Results also indicate that the pH value had a linear correlation with the observed first-order decay constant of TCE, and thus, lower pH caused a higher TCE oxidation rate.

Chemosphere

Expert writing Tips

Best practice

When using the phrase "a linear correlation with", ensure your data supports a straight-line relationship. Visualize your data with scatter plots to confirm linearity before making claims.

Common error

Avoid implying causation solely based on observing "a linear correlation with". Correlation does not equal causation; further investigation is needed to establish a causal relationship.

Linguistic Context

The phrase "a linear correlation with" serves as a relational expression, indicating a specific type of statistical relationship between two or more variables. It suggests that the variables change together in a consistent, straight-line manner, according to Ludwig.

Expression frequency: Very common

Frequent in

Science

65%

Science & Research

20%

News & Media

15%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "a linear correlation with" accurately describes a particular type of statistical relationship, predominantly used in scientific and research contexts. As Ludwig AI shows, it's grammatically correct and commonly employed to report findings in technical and academic writing. When using this phrase, confirm that your data genuinely demonstrates a straight-line relationship. Be cautious not to assume causation from correlation alone. Alternatives such as "a direct relationship with" or "a positive association with" can offer different shades of meaning depending on your goal. Remember that precision and appropriate context are key when using this phrase in your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a direct relationship with

Emphasizes a straightforward and clear connection between two variables, implying a more causal link than just correlation.

a proportional relationship with

Highlights that the two variables change at a constant ratio. Suitable when the change in one causes a consistent change in the other.

a positive association with

Indicates that as one variable increases, the other tends to increase as well, without specifying linearity.

a clear dependence on

Highlights how one variable relies on another. The use case for this is to underline that changes to one variable affect another.

a strong link to

Shows a robust connection between two variables, but without quantifying that the relationship follows a straight line.

closely tied to

Emphasizes the interdependence of two variables but does not specify the nature of the relation, whether linear or not.

related directly to

Similar to a direct relationship, but can be used when only one affects the other. There is no mention about linearity.

corresponds closely to

Suggests a matching or mirroring of changes between variables, rather than a strict linear progression.

bears a relationship to

A more general way of saying there is some kind of relationship, useful in initial observations or less precise studies.

shows connection to

Indicates there is a relation between variables, but this connection can be of any nature.

FAQs

What does "a linear correlation with" mean?

The phrase "a linear correlation with" indicates a relationship between two variables where a change in one variable is associated with a proportional change in the other, represented graphically as a straight line.

How do I use "a linear correlation with" in a sentence?

You can use "a linear correlation with" to describe the relationship between two variables, for example: "The study found "a linear correlation with" increased exercise and reduced blood pressure."

What are some alternatives to "a linear correlation with"?

Alternatives include "a direct relationship with", "a proportional relationship with", or "a positive association with depending" on the nuance you want to convey.

Is it accurate to assume causality when there is "a linear correlation with"?

No, establishing "a linear correlation with" two variables does not necessarily mean that one causes the other. Correlation does not imply causation, and further research is required to determine if there is a causal link.