corresponding coefficient

USAGE SUMMARY

"corresponding coefficient" is a correct and usable phrase in written English.
You might use it to describe the mathematical relationship between two variables, such as "The corresponding coefficient between the two factors was 0.8."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

They correspond to the following quantization matrices: (7) Each element of the matrices corresponds to the number of quantization levels to the corresponding coefficient band.

EURASIP Journal on Image and Video Processing

The corresponding coefficient is a negative number.

The Journal of Chinese Sociology

The maximum rate of energy pumping and the corresponding coefficient of performance are calculated.

Energy Conversion and Management

If the two curves matched well, the corresponding coefficient was obtained.

Optics & Laser Technology

The smaller the magnitude of p is, the more significant the corresponding coefficient is.

Nanoscale Research Letters

In general, higher F-value means the more significance of the corresponding coefficient [21].

Chemistry Central Journal

Significantly contributing kernels are easily identified by the second moment of the corresponding coefficient.

EURASIP Journal on Wireless Communications and Networking

Hence, basis functions which corresponding coefficient is zero can be eliminated without sacrificing performance.

EURASIP Journal on Advances in Signal Processing

The smaller the magnitude of the P, more significant is the corresponding coefficient.

Applied Water Science

The current image frame is then projected over this trained dictionary to obtain a corresponding coefficient.

EURASIP Journal on Image and Video Processing

If P(H 1|X) < T α, then the corresponding coefficient is considered a noisy one.

EURASIP Journal on Image and Video Processing

Expert writing Tips

Best practice

When using the phrase "corresponding coefficient", ensure that the relationship between the coefficient and the variable it represents is clearly defined to avoid ambiguity.

Common error

Avoid assuming a causal relationship based solely on the value of the "corresponding coefficient". Correlation does not imply causation; further analysis is required to establish causality.

Linguistic Context

The phrase "corresponding coefficient" functions as a noun phrase, where 'corresponding' modifies 'coefficient'. It identifies a specific coefficient that relates to a particular variable, factor, or element within a mathematical or statistical model. Ludwig AI examples show its use across various scientific and technical contexts.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, "corresponding coefficient" is a common and grammatically correct noun phrase used primarily in scientific and technical contexts. It serves to link a coefficient directly to its related variable, ensuring clarity in analysis and reporting. As Ludwig AI highlights, it's crucial to understand the context and significance of the coefficient, avoiding assumptions of causality based solely on its value. Alternatives such as "suitable coefficient" or "respective coefficient" may be used depending on the desired nuance. By being aware of its purpose and typical usage, writers can effectively use "corresponding coefficient" to convey precise mathematical and statistical relationships.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

respective coefficient

Emphasizes that the coefficient belongs specifically to the item or variable being considered.

suitable coefficient

Replaces "corresponding" with "suitable", focusing on the appropriateness of the coefficient for a specific purpose.

appropriate coefficient

Similar to "suitable coefficient", highlighting the fitting nature of the coefficient in a particular situation.

relevant coefficient

Emphasizes that the coefficient is pertinent and applicable to the current context.

pertinent coefficient

Similar to "relevant coefficient", stressing the coefficient's significance and direct relation to the topic.

equivalent coefficient

Highlights that the coefficient has the same value or effect as another, implying interchangeability.

related coefficient

Indicates a connection or association between the coefficient and another element.

associated coefficient

Synonymous with "related coefficient", suggesting a link or connection.

applicable coefficient

Highlights that the coefficient can be used or applied in a specific scenario.

relative coefficient

Focuses on the coefficient's value in relation to other coefficients or variables.

FAQs

How is the "corresponding coefficient" used in regression analysis?

In regression analysis, the "corresponding coefficient" indicates the change in the dependent variable for each unit change in the independent variable, assuming other variables are held constant. It helps to quantify the relationship's strength and direction.

What does it mean if the "corresponding coefficient" is negative?

A negative "corresponding coefficient" indicates an inverse relationship between the variables. As one variable increases, the other tends to decrease.

How do I interpret the significance of a "corresponding coefficient"?

The significance of a "corresponding coefficient" is typically assessed using a p-value. A small p-value (typically less than 0.05) suggests that the coefficient is statistically significant and not due to random chance.

What are some alternatives to saying "corresponding coefficient"?

You could use alternatives like "suitable coefficient", "respective coefficient", or "related coefficient", depending on the specific context.