CS513 – (Solution)

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Split PL PR Level P( j |tL ) P( j |tR) 2PL PR Q(s|t) Φ(s|t)
1 0.273 0.727 L1 0.333 0.125 0.397 0.583 0.231
L2 0.333 0.250
L3 0.333 0.375
L4 0.000 0.250
2

Consider the data in Table above (end of chapter 6 or 8). The target variable is salary. Start by discretizing salary and age as follows:
Less than $35,000 Level 1
$35,000 to less than $45,000 Level 2
$45,000 to less than $55,000 Level 3
Above $55,000 Level 4

0 – 30 <= 30
31 – 40 <= 40
Above 40 <= 50

5.1 Construct a classification and regression tree to classify salary based on the other variables only one split level.

5.2

Features Domain
— —————————————–
Sample code number id number
F1. Clump Thickness 1 – 10
F2. Uniformity of Cell Size 1 – 10
F3. Uniformity of Cell Shape 1 – 10
F4. Marginal Adhesion 1 – 10
F5. Single Epithelial Cell Size 1 – 10
F6. Bare Nuclei 1 – 10
F7. Bland Chromatin 1 – 10
F8. Normal Nucleoli 1 – 10
F9. Mitoses 1 – 10
Diagnosis Class: (2 for benign, 4 for malignant)

5.2
Use the CART methodology to develop a classification model for the Diagnosis.

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