Let say that your model is Y = a + bX, (for instance X is the time) but you know that b = 0. In short, you are trying to get the best fit for Y = a. Of course a is your average computed on your observations in that case (or better, the median if outliers are present.) But how would you measure the correlation between Y and the constant a? It just does not exist, even though the closer the point…
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