The table below provides a training data set containing six observations, three pre- dictors, and one qualitative response variable ( Y = color "Blue" or color "Red"). Obs. 1 2 3 4 5 6 Y Blue Blue Red Red Blue X1 X2 X3 1 2 -1 1 0 3 0 3 0 0 2 -1 2 0 -1 1 4 1 Red Suppose we wish to use K-nearest neighbors to work with this data set. (a) Use K = 1 to predict the color (either "Blue" or "Red"), using the K-nearest neighbor predictions of color for each of the training observations. What is the average misclassification training error?

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
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The table below provides a training data set containing six observations, three pre-
dictors, and one qualitative response variable (Y = color "Blue" or color "Red").
Obs.
1
2
3
4
5
6
X₁ X2 X3
1
2
-1
1
0
3
0
3
0
Red
0
2
-1
Red
2
0
-1
Blue
1
4 1 Red
Y
Blue
Blue
Suppose we wish to use K-nearest neighbors to work with this data set.
(a) Use K = 1 to predict the color (either "Blue" or "Red"), using the K-nearest
neighbor predictions of color for each of the training observations. What is the
average misclassification training error?
Transcribed Image Text:The table below provides a training data set containing six observations, three pre- dictors, and one qualitative response variable (Y = color "Blue" or color "Red"). Obs. 1 2 3 4 5 6 X₁ X2 X3 1 2 -1 1 0 3 0 3 0 Red 0 2 -1 Red 2 0 -1 Blue 1 4 1 Red Y Blue Blue Suppose we wish to use K-nearest neighbors to work with this data set. (a) Use K = 1 to predict the color (either "Blue" or "Red"), using the K-nearest neighbor predictions of color for each of the training observations. What is the average misclassification training error?
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