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Which of the following are not symptoms of multicollinearity in a regression model. High R² with few…

D and E are the conventional non-warning descriptions. TOLⱼ=1−Rⱼ² and VIFⱼ=1/TOLⱼ; tolerance near one means little explained variation of that regressor by the others. VIF…

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Which of the following are not symptoms of multicollinearity in a regression model.

  1. High R² with few significant t ratio for coefficients.
  2. High pair-wise correlations among regressors.
  3. The closer the Tolerance (TOLⱼ) is to zero.
  4. Variance Inflation Factor (VIF) of a variable is below 10.
  5. The closer the Tolerance (TOLⱼ) is to 1.
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Answer and explanation

Correct answer B

D and E are the conventional non-warning descriptions. TOLⱼ=1−Rⱼ² and VIFⱼ=1/TOLⱼ; tolerance near one means little explained variation of that regressor by the others. VIF below 10 is below a common severe-collinearity rule of thumb. High overall R² with weak individual t ratios, high pairwise correlations and tolerance near zero are warning symptoms, though none alone is a necessary or sufficient diagnosis.

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