Concept explainers
To calculate:
The least squares regression line and verify with a graph.
Answer to Problem 1E
The least squares regression line is
Explanation of Solution
Given information:
Points:
Calculation:
The estimated least squares regression equation for a set of data is:
The above equation can be written as:
Where,
Consider the points
Now, apply the system for the least square regression line with
Now divide equation (4) by
Put the value of
Put the calculated values
The regression equation by graphing utility as follows,
The above graph shows the least square regression equation
Chapter B Solutions
Precalculus with Limits: A Graphing Approach
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning