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I have a problem about correlation depending whether it it observed as a measurement of linear fit of statistical data, and when observed as a relationship between two continuous functions.

Is a result of correlation a coefficient (Pearson's product-moment coefficient) or a function?

If the correlation is a number, what information does a autocorrelation correlogram represent?

And if correlation is a number, why is convolution a function then?

tnx

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# Correlation and convolution (function or number)

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