Concept explainers
To find: The least squares regression parabola for the given points.
Answer to Problem 68E
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 10 times the first equation from the third equation to produce a new third equation, we get
Now, solving
Similarly, solving the second equation for
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