Sigmoid Curve:  P (c) = 1/1+e-(c - 2)  What is the independent variable? A) x B) P(c) C) c ---------------- What is the y-intercept? A) 1 B) 0.119 C) There isn’t one --------------- What is the range of P(c)? A) [0,5] B) [0.12,1]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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One function that arises throughout biological applications is a sigmoidal curve. It often is the natural result of phenomena that are bounded between some minimum and maximum value. For example, population size that is bounded between 0 (you can’t have negative #s of individuals) and some maximal carrying-capacity. Or, as we will focus on here, the probability of having a heart attack P given a risk factor such as LDL level ‘bad cholestrerol’, c. Suppose LDL cholesterol is measured on a scale of 0 (low levels) to 5 (high levels), then...

Sigmoid Curve:  P (c) = 1/1+e-(c - 2)

 What is the independent variable?

A) x

B) P(c)

C) c

----------------

What is the y-intercept?

A) 1

B) 0.119

C) There isn’t one

---------------

What is the range of P(c)?

A) [0,5]

B) [0.12,1]

Expert Solution
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1)Intercept is a value of y at x=0 or c=0.

2)Range is values which a function attains.

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