Concept explainers
To explain how residuals can be used to determine how well a line of fit models a data set.
Answer to Problem 2E
We need to have data point’s residual closer to
Explanation of Solution
Given:
N/A
Formula Used:
A residual is a measure of how well a line fits an individual data point. This vertical distance is known as a residual. For data points above the line, the residual is positive, and for data points below the line, the residual is negative. The closer a data point's residual is to
Calculation:
As per the above definition of a residual and the positive and negative residuals, we have:
The closer a data point's residual is to
Hence, we need to have data point’s residual closer to
Conclusion:
We need to have data point’s residual closer to
Chapter 4 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education