Select all the statements that are true of a least-squares regression line. R measures how much of the variation in Y is explained by X in the estimated linear regression. The regression line is used to predict nonlinear patterns. In the equation of the least-squares regression line, Y is a predicted value when X is known. The slope of the regression line is resistant to outliers. The sum of the squares of the residuals is the smallest sum possible. In the equation of the least-squares regression line, Ý is an observed value when X is known.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 2ECP
icon
Related questions
Question

R1

Select all the statements that are true of a least-squares regression line.
R measures how much of the variation in Y is explained by X in the estimated linear regression.
The regression line is used to predict nonlinear patterns.
In the equation of the least-squares regression line, Y is a predicted value when X is known.
The slope of the regression line is resistant to outliers.
The sum of the squares of the residuals is the smallest sum possible.
In the equation of the least-squares regression line, Ý is an observed value when X is known.
Transcribed Image Text:Select all the statements that are true of a least-squares regression line. R measures how much of the variation in Y is explained by X in the estimated linear regression. The regression line is used to predict nonlinear patterns. In the equation of the least-squares regression line, Y is a predicted value when X is known. The slope of the regression line is resistant to outliers. The sum of the squares of the residuals is the smallest sum possible. In the equation of the least-squares regression line, Ý is an observed value when X is known.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning