JoVE Logo

S'identifier

In statistics, correlation describes the degree of association between two variables. In the subfield of linear regression, correlation is mathematically expressed by the correlation coefficient, which describes the strength and direction of the relationship between two variables. The coefficient is symbolically represented by 'r' and ranges from -1 to +1. A positive value indicates a positive correlation where the two variables move in the same direction. A negative value suggests a negative correlation, where the two variables move in opposite directions. A value closer to +1 or −1 suggests that the two variables are strongly correlated, directly or inversely. A value close to zero implies no linear correlation between the two variables.

To obtain the correlation coefficient and the best-fit equation, statisticians use the method of linear regression. The best-fit equation can be used subsequently to predict the value of a signal ('y' in the linear equation) or calculate the concentration of the substance giving the signal ('x' in the linear equation).

Tags

CorrelationRegressionCorrelation CoefficientLinear RegressionAssociationPositive CorrelationNegative CorrelationBest fit EquationStatistical AnalysisPredictionVariables

Du chapitre 1:

article

Now Playing

1.19 : Correlation and Regression

Chemical Applications of Statistical Analyses

1.2K Vues

article

1.1 : SI Units: 2019 Redefinition

Chemical Applications of Statistical Analyses

1.3K Vues

article

1.2 : Degrees of Freedom

Chemical Applications of Statistical Analyses

2.9K Vues

article

1.3 : Statistical Analysis: Overview

Chemical Applications of Statistical Analyses

5.1K Vues

article

1.4 : Types of Errors: Detection and Minimization

Chemical Applications of Statistical Analyses

1.3K Vues

article

1.5 : Systematic Error: Methodological and Sampling Errors

Chemical Applications of Statistical Analyses

1.3K Vues

article

1.6 : Random Error

Chemical Applications of Statistical Analyses

753 Vues

article

1.7 : Standard Deviation of Calculated Results

Chemical Applications of Statistical Analyses

4.8K Vues

article

1.8 : Introduction to z Scores

Chemical Applications of Statistical Analyses

309 Vues

article

1.9 : Uncertainty: Overview

Chemical Applications of Statistical Analyses

449 Vues

article

1.10 : Propagation of Uncertainty from Random Error

Chemical Applications of Statistical Analyses

570 Vues

article

1.11 : Propagation of Uncertainty from Systematic Error

Chemical Applications of Statistical Analyses

407 Vues

article

1.12 : Uncertainty: Confidence Intervals

Chemical Applications of Statistical Analyses

3.0K Vues

article

1.13 : Significance Testing: Overview

Chemical Applications of Statistical Analyses

3.3K Vues

article

1.14 : Identifying Statistically Significant Differences: The F-Test

Chemical Applications of Statistical Analyses

1.5K Vues

See More

JoVE Logo

Confidentialité

Conditions d'utilisation

Politiques

Recherche

Enseignement

À PROPOS DE JoVE

Copyright © 2025 MyJoVE Corporation. Tous droits réservés.