Answered: Take a look at the following scatter…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Take a look at the following scatter plot of the so-called XOR data-set:

It is a classification data-set with the goal of separating the red and the black observations. Assume, that the
number of red and black observations is approximately equal. Which of the following statements is correct?
a) A Decision Tree can reach a prediction error of (nearly) zero on this data-set.
b) When performing a variable selection using the step-wise forward selection algorithm, neither of the variables
x1, x2 will be added to the model.
c) A Linear Discriminant Analysis (LDA) can reach a prediction error of (nearly) zero on this data-set.
d) Every model using only one of the two variables x1, x2 will have a missclassification error of approximately 50%.

-1.0
-0.5
0.0
0.5
1.0
X1
X2
-0.5
0.5
1.0
O'L-
0'0

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