D = { ([0,1],1.2), ([2,1],2.1), ([3,2],0.1), ([1,2],1.5), ([1,3],0.2), ([2,3],0.5) }

what is the empirical RSS of a 3-leaf decision tree based on the following split of the attribute space?

1={² s.t. 11}

2={² s.t. 1>1 and 22}

3={² s.t. 1>1 and 2>2}

provide answer in 0.1

Hint: the RSS for a regression model : X is

=

and, for each (x,y)D\, (f(x)\) is the output of the tree on input , i.e. the average over the labels of the objects in the region of