medium · FRM Part 1

A financial analyst is using an F-test to compare the model fits of two nested regressions. Regression 1 (the restricted model) has R^2 = 0.45 and Regression 2 (the unrestricted model) has R^2 = 0.50.

What does the F-test fundamentally evaluate in this scenario?

  1. Whether the intercept in the unrestricted model is zero.
  2. Whether the two models have equal residual variances.
  3. Whether the correlation between the error terms is significant.
  4. Whether the additional variables in the unrestricted model jointly add significant explanatory power.

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