Given the transaction table from a car dealer database as the training set T for a binary classification problem. (Write intermediate steps for all following questions, keep three digits after decimal for all calculation) ID is student | income | gender high high high medium low age buys.car T1 male middle_aged youth middle.aged senior no no T2 no female no T3 no male yes male male T4 no yes T5 yes senior yes T6 yes low female senior no female middle aged youth youth senior T7 yes low yes T8 no medium male no T9 low male male yes yes T10 yes medium yes youth medium | female middle aged middle aged T11 yes medium male yes T12 no yes high medium female T13 yes male yes T14 no senior no (1) Compute the entropy of the attribute gender. (2) Compute the information gain of the attribute is student. (3) Compute the Gini index for the training set T. (4) Compute the Gini index of the attribute income w.r.t. T.

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Given the transaction table from a car dealer database as the training set T for a binary classification
problem. (Write intermediate steps for all following questions, keep three digits after decimal for all
calculation)
ID
gender
male
female
male
is student
income
age
buys_car
high
high
high
medium
low
middle_aged
youth
middle.aged
T1
no
no
T2
no
no
T3
yes
no
T4
no
male
senior
yes
T5
yes
male
senior
yes
female
senior
middle_aged
youth
youth
senior
T6
yes
low
no
T7
yes
low
female
yes
T8
no
medium
male
no
T9
yes
low
male
yes
T10
yes
medium
male
yes
youth
female | middle_aged
middle aged
senior
T11
yes
medium
male
yes
T12
no
medium
yes
T13
male
high
medium
yes
yes
T14
no
female
no
(1) Compute the entropy of the attribute gender.
(2) Compute the information gain of the attribute is student.
(3) Compute the Gini index for the training set T.
(4) Compute the Gini index of the attribute income w.r.t. T.
Transcribed Image Text:Given the transaction table from a car dealer database as the training set T for a binary classification problem. (Write intermediate steps for all following questions, keep three digits after decimal for all calculation) ID gender male female male is student income age buys_car high high high medium low middle_aged youth middle.aged T1 no no T2 no no T3 yes no T4 no male senior yes T5 yes male senior yes female senior middle_aged youth youth senior T6 yes low no T7 yes low female yes T8 no medium male no T9 yes low male yes T10 yes medium male yes youth female | middle_aged middle aged senior T11 yes medium male yes T12 no medium yes T13 male high medium yes yes T14 no female no (1) Compute the entropy of the attribute gender. (2) Compute the information gain of the attribute is student. (3) Compute the Gini index for the training set T. (4) Compute the Gini index of the attribute income w.r.t. T.
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