Logistic Transformation Suppose that f (x) = 1 1 + e(b+mx) (1.8) A function of the form

Chapter 1, Problem 100

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Logistic Transformation Suppose that f (x) = 1 1 + e(b+mx) (1.8) A function of the form (1.8) is called a logistic function. The logistic function was introduced by the Dutch mathematical biologist Verhulst around 1840 to describe the growth of populations with limited food resources. Show that ln f (x) 1 f (x) = b + mx (1.9) This transformation is called the . It is a standard transformation for linearizing functions of the form (1.8).

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