Question

In: Economics

True or False: Besides being necessary to provide unbiased estimates, an intercept is always a meaningful/interpretable...

True or False: Besides being necessary to provide unbiased estimates, an intercept is always a meaningful/interpretable parameter. Explain.

Solutions

Expert Solution

FALSE

  • Having an intercept term in the regression equation helps in giving unbiased estimates.
  • However, it is not necesaary that everytime intercept term is useful.
  • Removing an insignificant intercept term can increase R square.
  • Sometimes, the model is best fit by regression through origin when the theory suggests that regression line must pass through point (0,0).
  • For example, our independent variable is reading ability and dependent variable is writing ability. Having a constant term here in the regression equation will suggest that having a reading ability of zero, person will have a writing ability equal to the constant value which makes no sense as with zero reading ability, person can not have a wriring ability. Hence, intercept term is always not signifiacnt.
  • Apart from this, Dropping intercept will reduce the degree of freedom by one and if sample is very large, it gets very useful.

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