Question

QUESTION 1 Consider the training examples shown in the following table for a binary classification problem. Instance $a_1$ $a_2$ $a_3$ Target Class 1 T T 1.0 + 2 T T 6.0 + 3 T F 5.0 - 4 F F 4.0 + 5 F T 7.0 - 6 F T 3.0 - 7 F F 8.0 - 8 T F 7.0 + 9 F T 5.0 - For a3, which is a \"continuous\" attribute, compute the information gain for the cutting point 5.5. Choose the closest number among the following choices. ? 1.0.299 ? 2.0.007 ? 3.0.99032 ? 4.0.489

          QUESTION 1
Consider the training examples shown in the following table for a binary classification problem.
Instance
$a_1$
$a_2$
$a_3$
Target Class
1
T
T
1.0
+
2
T
T
6.0
+
3
T
F
5.0
-
4
F
F
4.0
+
5
F
T
7.0
-
6
F
T
3.0
-
7
F
F
8.0
-
8
T
F
7.0
+
9
F
T
5.0
-
For a3, which is a \"continuous\" attribute, compute the information gain for the cutting point 5.5. Choose the closest number among the following
choices.
? 1.0.299
? 2.0.007
? 3.0.99032
? 4.0.489

QUESTION 1
Consider the training examples shown in the following table for a binary classification problem.
Instance
a1
a2
a3
Target Class
1
T
T
1.0
+
2
T
T
6.0
+
3
T
F
5.0
-
4
F
F
4.0
+
5
F
T
7.0
-
6
F
T
3.0
-
7
F
F
8.0
-
8
T
F
7.0
+
9
F
T
5.0
-
For a3, which is a c̈ontinuousättribute, compute the information gain for the cutting point 5.5. Choose the closest number among the following
choices.
? 1.0.299
? 2.0.007
? 3.0.99032
? 4.0.489

Added by Robert H.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Maryam Riaz

Step 1

- There are 4 instances with target class T and 2 instances with target class F. - The total number of instances is 6. - The initial entropy can be calculated using the formula: entropy = -p(T) * log2(p(T)) - p(F) * log2(p(F)) - p(T) = 4/6 = 2/3 - p(F) = 2/6 = Show more…

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QUESTION Consider the training examples shown in the following table for binary classification problem: Instance Target Class 1.0 F 6.0 T 5.0 4.0 V 7.0 3.0 8.0 T 7.0 5.0 For a3,which is continuous" attribute, compute the information gain- for the cutting point 5 Choose the closest number among the following choices: 1.0.299 2.0.007 3.0.99032 4.0.489