Applying the method of group of averages, find a curve of the form y= ax +b to the following data: X: 1 2 3 4 y: 0.43 0.83 1.40 2.33

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%
Course: Numerical Analysis
2(a) Applying the method of group of averages, find a curve of the form
y = ax +b to the following data:
X:
1
2
3
4
y: 0.43
0.83
1.40
2.33
A second-degree polynomial pass through (0, 1), (1, 3), (2, 7) and (3, 13).
(b)
Find the polynomial, using Newton's forward difference formula.
Transcribed Image Text:2(a) Applying the method of group of averages, find a curve of the form y = ax +b to the following data: X: 1 2 3 4 y: 0.43 0.83 1.40 2.33 A second-degree polynomial pass through (0, 1), (1, 3), (2, 7) and (3, 13). (b) Find the polynomial, using Newton's forward difference formula.
Expert Solution
steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Knowledge Booster
Logical Arguments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,