coefficient of correlation: meaning, definition, pronunciation and examples

C1/C2
UK/ˌkəʊ.ɪˈfɪʃ.ənt əv ˌkɒr.əˈleɪ.ʃən/US/ˌkoʊ.əˈfɪʃ.ənt əv ˌkɔːr.əˈleɪ.ʃən/

Formal, Technical, Academic

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Quick answer

What does “coefficient of correlation” mean?

A statistical measure that quantifies the degree and direction of linear relationship between two variables.

Audio

Pronunciation

Definition

Meaning and Definition

A statistical measure that quantifies the degree and direction of linear relationship between two variables.

Specifically, it refers to the Pearson product-moment correlation coefficient (r), which ranges from -1 (perfect negative correlation) to +1 (perfect positive correlation), with 0 indicating no linear relationship. It is a fundamental concept in statistics, psychology, social sciences, finance, and data science.

Dialectal Variation

British vs American Usage

Differences

No significant lexical or pronunciation differences. The term is international scientific/technical English. The abbreviation 'r' is universal.

Connotations

Neutral and technical in both varieties.

Frequency

Equally common in academic and professional contexts in both BrE and AmE.

Grammar

How to Use “coefficient of correlation” in a Sentence

The coefficient of correlation [between X and Y] was calculated.A coefficient of correlation [of + value] indicates...To find/find the coefficient of correlation.

Vocabulary

Collocations

strong
calculate the coefficient of correlationPearson coefficient of correlationvalue of the coefficient of correlationsignificance of the coefficient of correlation
medium
high coefficient of correlationlow coefficient of correlationnegative coefficient of correlationcompute the coefficient of correlation
weak
strong coefficient of correlationsignificant coefficient of correlationobtain a coefficient of correlation

Examples

Examples of “coefficient of correlation” in a Sentence

verb

British English

  • The variables were correlated, yielding a high coefficient.
  • We need to correlate the datasets before computing the coefficient.

American English

  • The data sets were correlated to produce a coefficient.
  • First, correlate the two columns to find the coefficient.

adverb

British English

  • The variables correlated highly, as shown by the coefficient.
  • The data are not correlatively related.

American English

  • The stocks moved correlatively, indicated by the coefficient.
  • The figures correlated positively.

adjective

British English

  • The correlational analysis provided the key coefficient.
  • Their research showed a strong correlational link.

American English

  • The correlation analysis yielded a significant coefficient.
  • We observed a positive correlation effect.

Usage

Meaning in Context

Business

Used in market research, finance (e.g., correlating stock returns), and analytics to assess relationships between business metrics.

Academic

Ubiquitous in research papers across social sciences, medicine, and physical sciences to report the strength of observed relationships.

Everyday

Virtually never used in casual conversation.

Technical

The precise term in statistics, data science, econometrics, and psychological testing.

Vocabulary

Synonyms of “coefficient of correlation”

Strong

r valuePearson correlation coefficient

Neutral

Weak

measure of associationlinear correlation measure

Vocabulary

Antonyms of “coefficient of correlation”

lack of correlationindependencezero correlation

Watch out

Common Mistakes When Using “coefficient of correlation”

  • Using 'coefficient of correlation' to describe non-linear relationships.
  • Pronouncing 'coefficient' with the stress on the first syllable (/ˈkoʊ.əˌfɪʃ.ənt/ is incorrect).
  • Referring to it as simply 'the correlation' when the precise numerical value is meant.
  • Misspelling 'correlation' as 'corelation'.

FAQ

Frequently Asked Questions

Yes, they are synonymous terms, with 'correlation coefficient' being slightly more common in speech and writing.

It ranges from -1.0 to +1.0 inclusive. -1 indicates a perfect negative linear relationship, +1 a perfect positive linear relationship, and 0 indicates no linear relationship.

No, it cannot. It only measures the strength and direction of a linear association. Correlation does not imply causation; a third variable or pure coincidence may be responsible.

Pearson's r measures linear relationships between normally distributed variables. Spearman's rho is a non-parametric measure based on ranked data and captures monotonic (not necessarily linear) relationships.

A statistical measure that quantifies the degree and direction of linear relationship between two variables.

Coefficient of correlation is usually formal, technical, academic in register.

Coefficient of correlation: in British English it is pronounced /ˌkəʊ.ɪˈfɪʃ.ənt əv ˌkɒr.əˈleɪ.ʃən/, and in American English it is pronounced /ˌkoʊ.əˈfɪʃ.ənt əv ˌkɔːr.əˈleɪ.ʃən/. Tap the audio buttons above to hear it.

Phrases

Idioms & Phrases

  • None. This is a technical term.

Learning

Memory Aids

Mnemonic

Think: COEFFICIENT = a calculated number; CORRELATION = a connection. So it's the 'connection number' between two sets of data.

Conceptual Metaphor

A THERMOMETER FOR RELATIONSHIPS: Just as a thermometer gives a precise number for temperature, the coefficient gives a precise number for how 'hot' or 'cold' (strong/weak, positive/negative) the relationship is.

Practice

Quiz

Fill in the gap
Researchers calculated the of correlation to be 0.72, suggesting a strong linear association between dietary fibre intake and gut health.
Multiple Choice

What does a coefficient of correlation of -0.9 indicate?

Practise

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