Concept explainers
To show: the line drawn on the plot is called the least-squares line.
Answer to Problem 44E
Minimizes the sum of the squared prediction errors, no other regression line would give a smaller sum of squared residuals. That’s why the line drawn on the plot is called the least squares line.
Explanation of Solution
The least-squares regression line of Y on X is the line that makes the sum of the squared residuals as small as possible. The below figure shows
From the figure we can clearly see that least-squares regression line shown does not deviate much from scatter points hence minimizes the sum of the squared prediction errors, no other regression line would give a smaller sum of squared residuals. That’s why the line drawn on the plot is called the least squares line.
Chapter 3 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Elementary Statistics (13th Edition)
Elementary Statistics: Picturing the World (6th Edition)
Essentials of Statistics, Books a la Carte Edition (5th Edition)
STATS:DATA+MODELS-W/DVD
Statistical Reasoning for Everyday Life (5th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman