Assumption MLR$.3($No Perfect Collinearity$)$

Suppose you and a research partner are interested in studying the determinants of wages. Your partner collects a sample of $1,000$ observations and proposes using the following multiple regression model:

wage $=()2$

where

wage $=$ annual salary

educ $=$ years of formal education

exper $=$ years of work experience

observations $=1,000$

True or False: Based on the model specification and the number of observations, this model suffers from perfect collinearity.

True

False