Given the following data. 1 1.5 2.2 2.5 3 Y 4.5 5.501 11.248 15.625 26 i. The relationship of x and y can be modeled as cubic function given by y = x³ - ax + b, where a and b are constant. Find the values of a and b by using least square method begin with sum of square errors: n s = Σ (ui - y(x;))2 i=1 = Compute the total squares errors, S. ii.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 14P
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Q3 Numerical Methods

3. Given the following data.
X
1
1.5
2.2
2.5 3
Y
4.5 5.501 11.248 15.625 26
i. The relationship of x and y can be modeled as cubic function given by y =
x³ = ax + b, where a and b are constant. Find the values of a and b by using
least square method begin with sum of square errors:
n
S =
(y₁ - y(x₂)) ²
i=1
Compute the total squares errors, S.
ii.
||
Transcribed Image Text:3. Given the following data. X 1 1.5 2.2 2.5 3 Y 4.5 5.501 11.248 15.625 26 i. The relationship of x and y can be modeled as cubic function given by y = x³ = ax + b, where a and b are constant. Find the values of a and b by using least square method begin with sum of square errors: n S = (y₁ - y(x₂)) ² i=1 Compute the total squares errors, S. ii. ||
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