Asked by Leanne Mallare on Jun 24, 2024

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Suppose that one equation has 3 explanatory variables and an F-ratio of 52. Another equation has 5 explanatory variables and an F-ratio of 40. The first equation will always be considered a better model.

F-ratio

A statistical value used in the analysis of variance (ANOVA) to compare the variability among group means to the variability within groups.

Explanatory Variables

Variables in a statistical model that are used to explain variation in the outcome or response variable.

Regression Model

A statistical method used to model the relationship between a dependent variable and one or more independent variables.

  • Understand the significance of choosing a suitable quantity of predictors in a regression model to enhance the model's fitting and avert overfitting.
  • Obtain insight into the application and interpretation of multiple regression analysis, focusing on the prediction equation and the importance of the model.
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KA
Katrina AzucenaJun 27, 2024
Final Answer :
False
Explanation :
The F-ratio alone cannot determine which model is better as it does not take into account the number of explanatory variables. In order to compare the two models, we need to use other measures such as adjusted R-squared or AIC/BIC.