linear interpolation: meaning, definition, pronunciation and examples
LowTechnical/Academic
Quick answer
What does “linear interpolation” mean?
A mathematical method of estimating unknown values that fall between two known values by assuming a straight-line relationship between them.
Audio
Pronunciation
Definition
Meaning and Definition
A mathematical method of estimating unknown values that fall between two known values by assuming a straight-line relationship between them.
In computing and data science, the process of generating new data points within the range of a discrete set of known data points using linear functions. More broadly, any estimation technique that assumes a proportional relationship between variables.
Dialectal Variation
British vs American Usage
Differences
No significant lexical differences; identical technical usage.
Connotations
Identical technical connotations in both varieties.
Frequency
Equally low-frequency technical term in both varieties.
Grammar
How to Use “linear interpolation” in a Sentence
linear interpolation between X and Ylinear interpolation of Xlinear interpolation to estimate XVocabulary
Collocations
Examples
Examples of “linear interpolation” in a Sentence
verb
British English
- We need to linearly interpolate the missing temperature readings.
- The software linearly interpolates between data points.
American English
- We need to linearly interpolate the missing temperature readings.
- The program linearly interpolates between values.
adverb
British English
- The data was interpolated linearly.
- Values were estimated linearly between measurements.
American English
- The data was interpolated linearly.
- Values were estimated linearly between measurements.
adjective
British English
- The linear interpolation method produced satisfactory results.
- We applied a linear interpolation approach.
American English
- The linear interpolation method gave good results.
- We used a linear interpolation approach.
Usage
Meaning in Context
Business
Rare, except in data analysis contexts: 'We used linear interpolation to estimate quarterly sales between reported months.'
Academic
Common in mathematics, engineering, and computer science papers: 'The missing values were filled using linear interpolation.'
Everyday
Virtually never used in casual conversation.
Technical
Standard term in programming, data science, engineering: 'The algorithm performs linear interpolation between sensor readings.'
Vocabulary
Synonyms of “linear interpolation”
Strong
Neutral
Weak
Vocabulary
Antonyms of “linear interpolation”
Watch out
Common Mistakes When Using “linear interpolation”
- Using 'linear interpolation' to mean guessing without mathematical basis.
- Confusing interpolation (between points) with extrapolation (beyond points).
- Misspelling as 'linear interpellation' (which means formal questioning).
FAQ
Frequently Asked Questions
No, averaging gives a single midpoint value, while interpolation estimates multiple values along a line between points.
It works best when the relationship between variables is approximately linear; for nonlinear relationships, other interpolation methods are more appropriate.
Interpolation estimates values between known data points; extrapolation estimates values outside the known range.
It's accurate only if the true relationship between points is linear; otherwise it's an approximation.
A mathematical method of estimating unknown values that fall between two known values by assuming a straight-line relationship between them.
Linear interpolation is usually technical/academic in register.
Linear interpolation: in British English it is pronounced /ˈlɪnɪə ɪnˌtɜːpəˈleɪʃən/, and in American English it is pronounced /ˈlɪniər ɪnˌtɜːrpəˈleɪʃən/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “connect the dots (informal analogy)”
Learning
Memory Aids
Mnemonic
LINEAR INTERPOLATION = LINE + BETWEEN → drawing a straight LINE BETWEEN known points to find what's BETWEEN them.
Conceptual Metaphor
CONNECTING THE DOTS (assuming a straight line between known points)
Practice
Quiz
What is the key assumption of linear interpolation?