Web Reference: Apr 24, 2017 · This kind of problem shows up routinely in economics and physics. Fundamentally, when linearizing a power function, your goal is to turn a function of the for y = x^n to y = mx +b. The key to this kind of linearization is taking the log of both sides. Frequently in engineering, the question arises of how the parameters of an exponential function might be found from given data. The method follows from the fact that it is possible to ‘undo’ the exponential function and obtain a linear function by means of the logarithmic function. Explain how it can be that the power-function fit we got by fitting the log-log data can be worse than some other power function fit. After all, we did do a least squares fit.
YouTube Excerpt: An introduction for IB Mathematics Applications students.
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