On a Method of Trend Elimination

Abstract
When the purpose of determining a trend line is to eliminate trend in order to study the residuals, it is in general not advantageous to insist upon smoothness in the trend line. A method of rapid calculation is given for eliminating trend using a series of consecutive polynomials of the same degree, subject to the restriction that the observed series is circularly related. Methods are also given for relaxing this restriction.

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