Concept explainers
Terminology Consider the equation of a least-squares line
The explanatory variable and the response variable.
Answer to Problem 1CR
Solution: The explanatory variable is x and the response variable is y.
Explanation of Solution
Given: The least-squares line,
Calculation: The general equation for the least-squares line is,
Here, a represents the y-intercept and b represents the slope of the line.
The explanatory variable is an independent variable, which is used to predict another variable. In the provided least-squares line, the explanatory variable is denoted by x.
The response variable is a dependent variable, which is being predicted. In the provided least-squares line, the response variable is denoted by y.
Therefore, the explanatory and response variables are x and y, respectively.
Want to see more full solutions like this?
Chapter 4 Solutions
Understanding Basic Statistics
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning