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A spline function \(F_T(t)\) for trends is specified by a set of \(n\) interpolating points:

  • time values $$t_1, t_2, \ldots, t_n,$$

  • and corresponding \(y\) values $$y_1, y_2, \ldots, y_n.$$

For splineX, the return value is $$e^{F_T(t)}$$