Question
Given the training data for a sample of 10 mortgage applicants in the table below and using the measures of Information Gain and Entropy, determine
Given the training data for a sample of 10 mortgage applicants in the table below and using the measures of Information Gain and Entropy, determine the descriptive feature which should be at the root node of a decision tree that helps predict whether an applicant will or will not be approved their mortgage application. Give a complete explanation for your choice and show your workings in full. Please read the notes to the table.
Index | mortgage approved | married | age > Median Applicant |
0 | yes | yes | no |
1 | yes | yes | no |
2 | yes | yes | yes |
3 | no | yes | yes |
4 | yes | yes | no |
5 | no | no | yes |
6 | no | no | yes |
7 | yes | no | no |
8 | no | yes | yes |
9 | no | no | yes |
Notes: The variable Mortgage Approved indicates whether the applicant has been approved a mortgage (Yes) or not (No). The variable Married indicates whether the applicant is married (Yes) or not (No). The variable Age > Median Applicant indicates whether the applicants age is greater than the median applicants (Yes) or less than the median applicants (No). Proper explanation required.
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