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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).

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CorrelationRegressionCorrelation CoefficientLinear RegressionAssociationPositive CorrelationNegative CorrelationBest fit EquationStatistical AnalysisPredictionVariables

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1.19 : Correlation and Regression

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1.1 : SI Units: 2019 Redefinition

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1.2 : Degrees of Freedom

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1.3 : Statistical Analysis: Overview

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1.4 : Types of Errors: Detection and Minimization

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1.5 : Systematic Error: Methodological and Sampling Errors

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1.6 : Random Error

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1.7 : Standard Deviation of Calculated Results

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1.8 : Introduction to z Scores

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1.9 : Uncertainty: Overview

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1.10 : Propagation of Uncertainty from Random Error

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1.11 : Propagation of Uncertainty from Systematic Error

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1.12 : Uncertainty: Confidence Intervals

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1.13 : Significance Testing: Overview

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1.14 : Identifying Statistically Significant Differences: The F-Test

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