Questions 3

  1. What is the system of normal equations?
  2. Derive the OLS estimator for the model with multiple explanatory variables.
  3. Why it is not possible to calculate OLS estimator in the case when the number of parameters is larger than the number of observations?
  4. Prove that in the model with constant term the sum of residual is equal to zero.
  5. Show that in the model with constant term the mean value of dependent variable is equal to mean value of fitted variable.