What is the Area Under Curve value?

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Question 6
A research paper shows the following classification tree diagram. The label variable is binary and has two
categories LOSS and WIN. The event category is WIN. Since the research paper does not provide me the Area
Under Curve metric, I need to calculate the metric. What is the Area Under Curve value?
x2 <= 62.5
entropy = 0.771
samples = 1000
value = [774, 226]
class = LOSS
True
False
x4 <= 65.5
entropy = 0.515
samples = 600
value = [531, 69]
class = LOSS
xl <- 56.5
entropy = 0.966
samples = 400
value = [243, 157]
class = LOSS
entropy = 0.673
samples = 385
value = [317, 68]
class = LOSS
entropy = 0.043
samples = 215
value = [214, 1]
class = LOSS
entropy = 0.714
samples = 209
value = [168, 41]
class = LOSS
entropy = 0.967
samples = 191
value = [75, 116]
class = WIN
Multiple Choice:
(A) 0.1388
(B) 0.4584
(C) 0.5
(D) 0.7780
(E) Cannot Be Determined
Transcribed Image Text:Question 6 A research paper shows the following classification tree diagram. The label variable is binary and has two categories LOSS and WIN. The event category is WIN. Since the research paper does not provide me the Area Under Curve metric, I need to calculate the metric. What is the Area Under Curve value? x2 <= 62.5 entropy = 0.771 samples = 1000 value = [774, 226] class = LOSS True False x4 <= 65.5 entropy = 0.515 samples = 600 value = [531, 69] class = LOSS xl <- 56.5 entropy = 0.966 samples = 400 value = [243, 157] class = LOSS entropy = 0.673 samples = 385 value = [317, 68] class = LOSS entropy = 0.043 samples = 215 value = [214, 1] class = LOSS entropy = 0.714 samples = 209 value = [168, 41] class = LOSS entropy = 0.967 samples = 191 value = [75, 116] class = WIN Multiple Choice: (A) 0.1388 (B) 0.4584 (C) 0.5 (D) 0.7780 (E) Cannot Be Determined
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