E.coli (Escherichia coli) is a species of bacterium that can cause gastrointestinal illness. Like many other strains of bacteria, E.coli growth can be modeled by an exponential model.If we would like to linearize the relationship, which of the following transformations is appropriate?
Answer
A
Take the natural log of the y-values.
B
Take the natural log of the x-values.
C
Take the square root of the y-values.
D
Take the natural log of both the x- and y-values.
Explanation
An exponential relationship has the form y = a·b^x. Taking the natural log of the y-values gives ln(y) = ln(a) + x·ln(b), which is linear in x. Therefore, the appropriate transformation is to take the natural log of the y-values, choice A.
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