Linear Models with Log-Transformed Data

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When data appear linear in a log-log plot, the data follow a power law. When data appear linear in a semi-log plot (only y-axis logarithmic), the data follow an exponential law. This video shows why this is true and then gives two examples of using transformed data to find the model going through given data.
  1. DrBrainWalton
  2. mathematical modeling
  3. log-log plot
  4. semi-log plot
  5. logarithm
  6. power law
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This was an excellent lesson. I hope you decide to follow up with videos on transformations of linear regression models and/or the power law as it relates to certain probability distributions.

ThisCanNotBTheFuture
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There is an error at time-code 21:44 where I use the value 240 and should have used 30, because the point that is used for the equation of the line is (x, V) = (30, ln(5)). From this point on, that 240 that is used in other locations also needs to be changed to 30.

DrBrainWalton