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QUESTION 2 a) A manager of the AA Electronics Company is interested to do customer profile in predicting whether the customer will buy or not

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QUESTION 2 a) A manager of the AA Electronics Company is interested to do customer profile in predicting whether the customer will buy or not the computer based on their profile condition. In this dataset, there are four categorical attributes which are Age (Youth, Middle Aged and Senior), Income (High, Medium and Low), Student (No and Yes) and Credit Rating (Fair and Excellent). Based on this 14 customer's data information, answer the following questions. ID Age Income Student Credit rating Buy Computer 1 Youth High No Fair No 2 Youth High No Excellent No Middle Aged High No Fair Yes Senior Medium No -air Yes Senior Low Yes Fair Yes 6 Senior Low Yes Excellent No Middle Aged Low Yes Excellent Yes 8 Youth Medium No Fair No Youth Low Yes Fair Yes 10 Senior Medium Yes Fair Yes 11 Youth Medium Yes Excellent Yes 12 Middle Aged Medium No Excellent Yes 13 Middle Aged High Yes Fair Yes 14 Senior Medium No Excellent No i) Given the entropy value for Age and Income are 0.6934 and 0.9110 respectively. Compute the entropy value for Student and Credit Rating. (6 marks) ii) Based on (i), determine the variable that should become the first splitting attributes as the root node and explain the reason. (2 marks) iii) Draw the decision tree that can be obtained from (i). (2 marks)

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