Analyze the following dataset of Infection forecast to classify the patient to Infected or not. Use ID3 algorithm or Identification tree and Calculate Entropy and Information Gain of each attribute to identify root node of the decision tree and its branches.

ID	Fever	Cough	Breathing issue	infacted
1	no	no	no	no
2	yes	yes	yes	yes
3	yes	yes	no	no
4	yes	no	yes	yes
5	yes	yes	yes	yes
6	no	yes	no	no
7	yes	no	yes	yes
8	yes	no	yes	yes
9	no	yes	yes	yes
10	yes	yes	no	yes
11	no	yes	no	yes
12	no	yes	yes	no
13	no	yes	yes	no
14	yes	yes	no	no