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I have some question about the best subset selection in statistical learning. There are 9 independent variables X i and 1 dependent variable. I need

I have some question about the best subset selection in statistical learning.

There are 9 independent variables Xi and 1 dependent variable. I need to use these 9 independent variables to predict dependent variable Y. I have splitted the data to two parts. 75% data will be my personal training data, and 25 % data will be my personal testing data. I need to find a multiple linear model which has the lowest test mean squared error. I have found that all 9 independent variables should be added to the model. Now I need to consider the interactions and Xi2. What should I do now? Do I need to repeat the subset selection for all possible interactions and Xi2 ?

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