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October 26th, 2008, 08:00 PM  #1 
Member Joined: Sep 2007 Posts: 49 Thanks: 0  nonlinear relationship
How to actually distinguish exponential and power functions from linear functions? The answer may seem very obvious, but I have encountered one problem that asks me to transform the variable. When I graphed the two variables before transformation, the graph was linear, so why the question asked me to transform? I was confused because if the graph is linear, is that supposed to be linear function instead of exponential or power?

October 26th, 2008, 08:01 PM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: nonlinear relationship
Power: y ~ x^a Linear: y ~ x^1 So a linear relationship is a special case of a power relationship (but not an exponential relationship). 

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