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Measurement and Data Analysis for Engineering and Science, 4th Edition by Michael P. Davis, Patrick F Dunn

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19

Regression and Correlation

CONTENTS

19.1    Least-Squares Approach

19.2    Least-Squares Regression Analysis

19.3    Linear Analysis

19.4    Higher-Order Analysis*

19.5    Multi-Variable Linear Analysis*

19.6    Determining the Appropriate Fit

19.7    Regression Confidence Intervals

19.8    Regression Parameters

19.9    Linear Correlation Analysis

19.10  Signal Correlations in Time*

19.10.1  Autocorrelation*

19.10.2  Cross-Correlation*

19.11  Problems

Of all the principles that can be proposed for this purpose, I think there is none more general, more exact, or easier to apply, than that which we have used in this work; it consists of making the sum of the squares of the errors a minimum. By this method, a kind of equilibrium is established ...

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