A researcher measures the concentration of Advil in a patient\'s bloodstream as

Question

A researcher measures the concentration of Advil in a patient's bloodstream as a function of time, making measurements every hour. The resulting data is shown in the table below. We expect that the concentration of Advil will follow an exponential decay. Linearize this data and use linear regression to calculate the initial concentration and decay time. The time and concentration goes: For the firt hour the concentration is 2.58, for the 2nd hour the concentration is 0.95, for the 3rd hour the concentration is 0.35, for the 4th hour the concentration is 0.13 and for the 5th hour the concentration is 0.05.

Explanation / Answer

so we epect y = A e^(-k t) so ln(y) = ln(A e^(-kt)) = ln(A) - kt so we can see the rate is 0.31 and ln(A) = 0.4

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