correlation coefficient: meaning, definition, pronunciation and examples
C1/C2 (Academic/Technical)Technical/Academic/Formal
Quick answer
What does “correlation coefficient” mean?
A numerical index, typically ranging from -1 to +1, that measures the strength and direction of a linear relationship between two quantitative variables.
Audio
Pronunciation
Definition
Meaning and Definition
A numerical index, typically ranging from -1 to +1, that measures the strength and direction of a linear relationship between two quantitative variables.
The term is also used more broadly in data science to refer to various statistical measures assessing the association between variables, sometimes even beyond linear relationships. It is a fundamental concept in inferential statistics and data analysis.
Dialectal Variation
British vs American Usage
Differences
No significant lexical or semantic differences. Potential minor spelling differences in related text (e.g., analyse/analyze). Terminology surrounding it (e.g., 'maths' vs. 'math') may vary.
Connotations
Identical technical connotations in both variants.
Frequency
Equally frequent in academic and technical contexts in both regions.
Grammar
How to Use “correlation coefficient” in a Sentence
The correlation coefficient between X and Y is...We computed a correlation coefficient for...A correlation coefficient measures...There is a correlation coefficient of... linking...Vocabulary
Collocations
Examples
Examples of “correlation coefficient” in a Sentence
verb
British English
- To properly analyse the data, we need to correlate the variables and compute the correlation coefficient.
- The study aimed to correlate exam scores with study hours, reporting a correlation coefficient.
American English
- The software will correlate the datasets and output the correlation coefficient.
- Researchers correlated income and health outcomes, finding a modest correlation coefficient.
adjective
British English
- The correlational analysis yielded a key correlation coefficient.
- They presented a correlation-coefficient matrix in the appendix.
American English
- The correlation coefficient value was the main finding.
- A correlation-coefficient approach was used for the initial screening.
Usage
Meaning in Context
Business
Used in market research, finance (e.g., correlating asset returns), and performance analytics to quantify relationships between business metrics.
Academic
Ubiquitous in research papers across social sciences, medicine, physical sciences, and humanities for data analysis.
Everyday
Virtually never used in everyday conversation outside of specific educational or professional discussion.
Technical
The primary domain. Essential jargon in statistics, data science, machine learning, econometrics, psychometrics, and any field involving quantitative data analysis.
Vocabulary
Synonyms of “correlation coefficient”
Strong
Neutral
Weak
Vocabulary
Antonyms of “correlation coefficient”
Watch out
Common Mistakes When Using “correlation coefficient”
- Using 'correlation coefficient' to imply causation (e.g., 'The high correlation coefficient proves that A causes B').
- Mispronouncing 'correlation' (e.g., /kɔːˈrɛləʃən/) instead of /ˌkɒr.əˈleɪ.ʃən/.
- Treating it as two separate nouns (e.g., 'the correlation's coefficient') instead of a fixed compound.
- Confusing Pearson's r with other coefficients (Spearman's, Kendall's) without specification.
FAQ
Frequently Asked Questions
The most common correlation coefficient (Pearson's r) ranges from -1 to +1, inclusive.
No, correlation does not imply causation. A high coefficient only indicates a strong statistical association, which could be due to coincidence, a third confounding variable, or an actual causal link that requires further investigation to prove.
Pearson's r measures the strength of a linear relationship between two continuous, normally distributed variables. Spearman's rho (ρ) is a non-parametric measure that assesses how well the relationship between two variables can be described using a monotonic function (always increasing or decreasing), making it suitable for ordinal data or non-linear monotonic trends.
A coefficient of zero (or very close to zero) indicates no linear relationship between the variables. However, it is crucial to note that there could still be a strong non-linear relationship (e.g., a U-shape) that a standard correlation coefficient would not detect.
A numerical index, typically ranging from -1 to +1, that measures the strength and direction of a linear relationship between two quantitative variables.
Correlation coefficient is usually technical/academic/formal in register.
Correlation coefficient: in British English it is pronounced /ˌkɒr.əˈleɪ.ʃən ˌkəʊ.ɪˈfɪʃ.ənt/, and in American English it is pronounced /ˌkɔːr.əˈleɪ.ʃən ˌkoʊ.ɪˈfɪʃ.ənt/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think of 'Co-Relation': how two things CO-ordinate or change together. The COefficient gives you the number for that CO-ordination.
Conceptual Metaphor
MEASUREMENT IS A NUMBER; RELATIONSHIP IS A QUANTIFIABLE PATH (strong positive = a straight uphill path, strong negative = a straight downhill path, zero = a flat, directionless plain).
Practice
Quiz
What does a correlation coefficient of -0.9 signify?