Concept explainers
To find: The least squares regression parabola for the given points.
Answer to Problem 67E
The values of
Explanation of Solution
Given information:
The data points are given in the graph below:
For the above data points, the sums have been evaluated and that results to the following system of linear equations.
Concept used:
One way to find the least squares regression parabola
Calculations:
The steps of solving the system of equations using Row-Echelon Form and Back substitutions are as follows:
Subtracting the first equation from the second equation to produce a new first equation, we get
Now dividing the first equation by 5 to produce a new first equation, we get
Adding
Now, adding 17 times the second equation to
Solving
Substituting this value in the second equation, we get
Now, substituting the above finding values in the first equation, we get
Conclusion:
Therefore, the values of
To verify these results, we will be using Desmos graphing utility.
Hence, the results we got are correct.
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- 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