a linear relationship with

USAGE SUMMARY

The phrase "a linear relationship with" is correct and usable in written English.
It can be used in contexts involving mathematics, statistics, or discussions about correlations between variables. Example: "The study found a linear relationship with the amount of sunlight and plant growth."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Herbicide interception increased in a linear relationship with increasing litter.

Rangeland Ecology & Management

He has always been something of a loner, and because he works so much of the time finds it "hard to maintain a linear relationship with people".

The Guardian

Furthermore, it is strengthened when a linear relationship with measured temperatures is also considered.

Cold Regions Science and Technology

The normal force (F) shows a linear relationship with the threshold displacement amplitude (δth).

Microelectronics Reliability

The DIF assumes a linear relationship with the logarithm of strain rate.

Ceramics International

The final yield of the target proteins exhibited a linear relationship with whole cell fluorescence.

Gene

Within hilltops, abundant, common, and rare species showed a linear relationship with biomass.

Journal of Arid Environments

CCVs from asphalt compaction have a linear relationship with the light-weight-deflectometer moduli of subbase.

Automation in Construction

Muscovite content shows a linear relationship with U-series derived soil residence times.

Earth and Planetary Science Letters

Reduction of SEY also shows a linear relationship with sample temperature in the observed range.

Vacuum

Fluoroscopy during ERCP has a linear relationship with radiation, carrying risk of exposure.

Gastrointestinal Endoscopy

Expert writing Tips

Best practice

When using the phrase "a linear relationship with", ensure that the data supports a straight-line association. Avoid using it when the relationship is curvilinear or more complex.

Common error

Avoid assuming that a relationship is linear without sufficient data or analysis. Always verify the linearity of the relationship through statistical methods or visual inspection before making conclusions.

Linguistic Context

The phrase "a linear relationship with" functions as a prepositional phrase, typically used to describe the nature of the association between two or more variables. It specifies that the variables change together at a constant rate. According to Ludwig, this phrase is correct and usable in written English.

Expression frequency: Very common

Frequent in

Science

75%

News & Media

15%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "a linear relationship with" is a grammatically sound and frequently used expression, predominantly found in scientific and technical writing. Ludwig confirms its correctness and usability for describing proportional associations between variables. While alternatives like "a direct correlation with" exist, "a linear relationship with" offers a versatile option for indicating a specific type of predictable connection. When employing this phrase, ensure the underlying data supports the claim of linearity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a linear correlation with

Similar to a linear relationship but statistically emphasizes the degree of association.

a straight-line relationship with

Explicitly specifies that the relationship can be graphed as a straight line.

a direct correlation with

Implies a strong, positive association that increases or decreases proportionately.

a consistent association with

Highlights the reliable and repeatable nature of the connection.

a proportional association with

Highlights the equivalent ratio change between two variables.

a predictable correspondence with

Emphasizes the ability to forecast changes in one variable based on another.

a direct link to

Suggests a causal connection, implying one factor directly influences another.

a positive trend with

Indicates that as one variable increases, the other tends to increase as well.

a clear connection to

Suggests an easily understandable and apparent link between two elements.

a predictable pattern with

Implies a repeatable and observable arrangement when analyzing the relationship between two subjects.

FAQs

How can I use "a linear relationship with" in a sentence?

Use "a linear relationship with" to describe how two variables change together at a constant rate. For example, "The study showed "a linear relationship with" increased exercise and reduced cholesterol levels".

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

You can use alternatives like "a direct correlation with", "a proportional association with", or "a direct link to" depending on the specific context.

Which is correct: "a linear relationship with" or "a linear correlation with"?

Both ""a linear relationship with"" and "a linear correlation with" are correct, but "correlation" implies a statistical measure of association, while "relationship" is a broader term.

What's the difference between "a linear relationship with" and "a causal relationship with"?

"A linear relationship with" describes a consistent pattern of change between variables, while "a causal relationship" implies that one variable directly influences the other. A linear relationship does not necessarily mean that a casual relationship exists.