Based on the info in the image, answer this question:Identify the optimal model or models based on R^2adj , AIC and BIC from the approach based on all possible subsets. with this background info: Interest centers on using variable selection to choose a subset of the predictors to model Y . The data were generated such that the full model Y = b0 + b1 X1 + b2 X2 + b3 X3 + e (7.8) is a valid model for the data.

1.00 - X1-X2 X1-X2-X3 0.98 0.96 - Statistic: adjr2 0.94 - 0.92 - 0.90 - 0.88 - X3 1.0 1.5 2.0 2.5 3.0 Subset Size Figure 7.13 Plots of R2 for the best subset of each size Table 7.4 Values of Radi, AIC and BIC for the best subset of each size Subset size Predictors AIC BIC X3 0.8765 -0.3087 -1.0899 X1, X2 1.0000 -316.2008 -317.3725 X1, X2, X3 1.0000 -314.7671 -316.3294