Answered: P(Y=+X) Sample ID True class Model 1…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

For a binary class variable Y, we are given two models to
estimate P(Y =+|X) which is probability belonging to class + given X. The estimates provided by
the two models are given in the following table.

(a) Consider predicting a sample to be in the + class if P(Y = +|X) > 0.5. If our objective is to
maximize precision, which model should we use? Explain.
(b) Consider predicting a sample to be in the + class if P(Y = +|X) > 0.5. If our objective is to
maximize recall, which model should we use? Explain.

P(Y=+|X)
Sample ID True class Model 1 | Model 2
0.05
0.46
0.52
0.35
0.51
0.32
0.78
0.26
0.81
0.48
0.96
0.85
0.35
0.19
0.68
0.77
1
2
3
4
5
6
7
8
+
+
+

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