Log-linear model with one explanatory variable

Problem

Our model is given by

\[y_i=β_1e^{β_2x_i}ε_i\]

  1. Is this model linear in data? Is it linear in parameters?
  2. Take log of both sides and define \(β'_1=log β_1\) . Is the model linear in parameters? Is it linear in data?

Solution