INTRODUCTION TO STATISTICAL LEARNING
INTRODUCTION TO STATISTICAL LEARNING
21st Edition
ISBN: 9781071614174
Author: James
Publisher: SPRINGER
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Chapter 3, Problem 4E

a.

Explanation of Solution

Relationship between X and Y being linear

  • Without knowing more details about the training data, it is difficult to know which training RSS is lower between linear or cubic...

b.

Explanation of Solution

Relationship between X and Y being linear

  • In this case the test RSS depends upon the test data, so we have not enough information to conclude...

c.

Explanation of Solution

Relationship between X and Y being non-linear

  • Polynomial regression has lower train RSS than the linear fit because of higher flexibility...

d.

Explanation of Solution

Relationship between X and Y being non-linear

  • There is not enough information to tell which test RSS would be lower for either regression given the problem statement is defined as not knowing “how far it is from linear”...

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