Consider the following data set.. Considering 'profitable' as the binary valued attribute we are?

... trying to predict, which of the attributes would you select as the root in a decision tree with multi-way splits using the cross-entropy impurity

... trying to predict, which of the attributes would you select as the root in a decision tree with multi-way splits using the cross-entropy impurity measure?

price

airbag

profitable

low

maintenance low

capacity

2

4

no

yes

med

yes

yes

low low

no

yes

4 4

no

no

low med

high

med

low

n10

no

med

no

no

4

4

med

med

ves

yes

med

2

yes

no

med

high

high

med med

5

no

yes

4

yes

yes

2

yes

yes

high

high

high

high

yes

no

high

high

5

yes

yes

or:... trying to predict, which of the attributes would you select as the root in a decision tree with multi-way splits using the cross-entropy impurity measure?priceairbagprofitablelowmaintenance lowcapacity24noyesmedyesyeslow lownoyes4 4nonolow medhighmedlown10nomednono44medmedvesyesmed2yesnomedhighhighmed med5noyes4yesyes2yesyeshighhighhighhighyesnohighhigh5yesyes

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