Interpreting parameters in the log-linear model
Problem
In the model
\[\log{y_i} = β_1+β_2x_{i,2}+β_3x_{i,3}+ε_i\]
\(b_3=0.03\) . Select the best option:
- E(y|x) increases by approximately 0.03 units when x3 increases by 1 unit
- E(y|x) increases by approximately 3% when x3 increases by 1 unit
- E(y|x) increases by approximately 0.03 units when x3 increases by 1%
- E(y|x) increases by approximately 3% when x3 increases by 1%
Solution
Answer: b