a) 1-Nearest-Neighbour has a perfect training error and hence it should be used here. b) Random Forests outperforms both 1-Nearest-Neighbour and the Decision Tree in terms of prediction error. c) Not just in this case, but in general, Cross Validation is the better validation strategy and should always be preferred over the error on a single test set. d) Not just in this case, but in general, Decision Trees always perform worse than Random Forests.

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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Let us return to the Titanic data set. We now have learned several models and want to choose the
best one. We used three different methods to validate these models: The training error rate (apparent error rate),
the error rate on an external test set and the error rate estimated by a 10-fold cross validation.

Which of the following statements are correct?
a) 1-Nearest-Neighbour has a perfect training error and hence it should be used here.
b) Random Forests outperforms both 1-Nearest-Neighbour and the Decision Tree in terms of prediction error.
c) Not just in this case, but in general, Cross Validation is the better validation strategy and should always be
preferred over the error on a single test set.
d) Not just in this case, but in general, Decision Trees always perform worse than Random Forests.

Training Error
Error on the test set
0.22
Learner
Cross Validation Error
Decision Tree
0.18
0.21
Random Forest
0.01
0.10
0.12
1-Nearest-Neighbour
0.18
0.19
Transcribed Image Text:Training Error Error on the test set 0.22 Learner Cross Validation Error Decision Tree 0.18 0.21 Random Forest 0.01 0.10 0.12 1-Nearest-Neighbour 0.18 0.19
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