onlineregression15:   Hyperbolic regression (intensity-duration regression)    ⇒   i = f(tr-1)


Formulas

1/i = (tr/a) + (b/a)              y = α + βx

α = b/a        x = tr        β = 1/a        y = 1/i

β = [Σ(xy)-(ΣxΣy)/n]/{Σ(x2)-[(Σx)2/n]}

α = [Σy-(βΣx)]/n

Reference


SAMPLE INPUT DATA:

Array size n:   7

Paired values of arrays y and x (you can cut and paste sample arrays into form):

i:     8,5,4,2.5,1.5,1.0,0.8

tr:     5,10,15,30,60,120,180


SAMPLE OUTPUT:

a = 155.702            b = 26.5632


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