What implications does an insignificant F-test have in the context of multiple linear regression?

  • The model does not explain a significant amount of the variance in the response
  • The model explains a significant amount of the variance in the response
  • The model has a high R-squared value
  • The model has violated the assumption of homoscedasticity
The F-test in multiple linear regression tests the null hypothesis that all regression coefficients are equal to zero. An insignificant F-test suggests that the predictors do not explain a significant amount of the variance in the response variable.
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