An Introduction to Statistical Learning: with Applications in R (Springer Texts in Statistics)
13th Edition
ISBN: 9781461471370
Author: Gareth James
Publisher: SPRINGER NATURE CUSTOMER SERVICE
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Chapter 4, Problem 4E
a.
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- It is clear that if x∈[0.05,0.95] then the observations used are in the interval [x−0.05,x+0.05].
- Consequently it represents a length of 0.10.1 which represents a fraction of 10%.
- If x<0...
b.
Explanation of Solution
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- X1 and X2 is assumed to be independant,
- Th...
c.
Explanation of Solution
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- It also had the same arguments.
- It is concluded ...
d.
Explanation of Solution
Prediction
- It also had the same arguments.
- The fraction of ava...
e.
Explanation of Solution
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- For p=1, we have l=0.1...
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Classify the 1’s, 2’s, 3’s for the zip code data in R. (a) Use the k-nearest neighbor classification with k = 1, 3, 5, 7, 15. Report both the training and test errors for each choice. (b) Implement the LDA method and report its training and testing errors. Note: Before carrying out the LDA analysis, consider deleting variable 16 first from the data, since it takes constant values and may cause the singularity of the covariance matrix. In general, a constant variable does not have a discriminating power to separate two classes.
This is a Machine Learning question :
Given a dataset,
(1,+), (7, - ), (2, +), (6, -), (5, +), (9, -), (11, +)
You are supposed to find a threshold function that minimizes the error in the given dataset. Threshold functions look like this: f( x | a,b ) = sign(a-x).b where a is a real number and b is in {1,-1}.
How many possible values should you consider to solve this problem? What is the value of a and b in the case that minimizes the error? What is the minimum error? Show how you found it.
This is a Machine Learning question :
Given a dataset,
(1,+), (7, - ), (2, +), (6, -), (5, +), (9, -), (11, +)
You are supposed to find a threshold function that minimizes the error in the given dataset. Threshold functions look like this:
f( x | a,b ) = sign(a-x).b where a is a real number and b is in {1,-1}.
How many possible values should you consider to solve this problem? What is the value of a and b in the case that minimizes the error? What is the minimum error? Show how you found it.
Note: Please first sort the dataset, and use the mid-point between two adjacent points as the threshold value to identify the misclassified points. Explain in detail how you have identified the misclassified points using the threshold value and the values of b.
Chapter 4 Solutions
An Introduction to Statistical Learning: with Applications in R (Springer Texts in Statistics)
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