Choosing among two models, what it the best model and why? Model 1: y = beta_0 +

Question

Choosing among two models, what it the best model and why? Model 1: y = beta_0 + beta_1 x_1 + beta_2 x_2 + beta_3 x_3 + beta_4 x_4. Model 1 Results: Residual standard error: 1.390006 on 46 degrees of freedom Multiple R-squared 0.8968971, Adjusted R-squared: 0.8924143 F-statistic 200.0 781 on 2 and 46 DE, p-value: 0. They are equivalent, since the p values for the F statistics are both less than 0.05. Model 1, since it has fewer predictors. Model 2, since it has more predictors. Model 1, since it has the largest adjusted R^2. Model 2, since it has the largest R^2.

Explanation / Answer

Model 1 is preferred as it has the largest adjusted R2. Adjusted R2 removes the effect of adding extra variables and makes for a better comparison than only R2.

Hence,3rd is the correct answer.

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