Chapter 20, Problem 33P

The following model is frequently used in environmental engineering to parameterize the effect of temperature T(°C) on biochemical reaction rates k (per day),

$k=k_{20}{\theta }^{T-20}$

where $k_{20}$ and $\theta$ are parameters. Use a transformation to linearize this equation. Then employ linear regression to estimate $k_{20}$ and $\theta$ and predict the reaction rate at T = 17°C.

$T\left(\text{°C}\right)$	6	12	18	24	30
$k\left(\text{per day}\right)$	0.14	0.20	0.31	0.46	0.69