Suppose we are given the dataset in the table below for a classification $(09]$ problem. There are two binary inputs attributes XI and X$2,$ and three classes Y belongs to $(1,2,3).$ Is decision tree regressor applicable? If yes, do the following:

$1.$Calculate the information gain for both X$1,$ X$2$

$2.$Which attribute is used as first spilt at the root node of the tree? $($Depth of

$3.$Classify at new tuple $\{1,0$;

X

$7$

X$1$

$0$

$0$

$0$

X$2$

$0$

$1$

$3$

$2$