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a) Consider the following data: X 0.0 0.6 1.0 1.5 2.2 2.7 3.0 y 0.7556| 0.6998 1.6020 3.7962 9.0552 13.9760 17.5886 The relationship between x and y can be modelled as a quadratic equation y(x) = 1 + bx + cx2 where b and c are constants. These constants can be obtained by using least square method. i. Determine the value of b and c. Start your calculation from S = E(yi – y(x:))² i=0 where S is the total square error. ii. Compute the total of squares error, S. iii. If the quadratic equation y(x) = 1 + bx + cx² is replaced by У(х) — а + bx + сх?, where a, b andc are constants to be determined using same techniques, what will happen to the value of S?

a) Consider the following data: X 0.0 0.6 1.0 1.5 2.2 2.7 3.0 y 0.7556| 0.6998 1.6020 3.7962 9.0552 13.9760 17.5886 The relationship between x and y can be modelled as a quadratic equation y(x) = 1 + bx + cx2 where b and c are constants. These constants can be obtained by using least square method. i. Determine the value of b and c. Start your calculation from S = E(yi – y(x:))² i=0 where S is the total square error. ii. Compute the total of squares error, S. iii. If the quadratic equation y(x) = 1 + bx + cx² is replaced by У(х) — а + bx + сх?, where a, b andc are constants to be determined using same techniques, what will happen to the value of S?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Numerical method
a) Consider the following data: X 0.0 0.6 1.0 1.5 2.2 2.7 3.0 y 0.7556 | 0.6998 1.6020 3.7962 9.0552 13.9760 17.5886 The relationship between x and y can be modelled as a quadratic equation y(x) = 1 + bx + cx2 where b and c are constants. These constants can be obtained by using %3D least square method. i. Determine the value of b and c. Start your calculation from n S = E(yi – y(x;))² i=0 where S is the total square error. ii. Compute the total of squares error,. S. iii. If the quadratic equation y(x) = 1 + bx + cx² is replaced by У(x) — а + bx + сx?, where a, b and c are constants to be determined using same techniques, what will happen to the value of S?
Transcribed Image Text:a) Consider the following data: X 0.0 0.6 1.0 1.5 2.2 2.7 3.0 y 0.7556 | 0.6998 1.6020 3.7962 9.0552 13.9760 17.5886 The relationship between x and y can be modelled as a quadratic equation y(x) = 1 + bx + cx2 where b and c are constants. These constants can be obtained by using %3D least square method. i. Determine the value of b and c. Start your calculation from n S = E(yi – y(x;))² i=0 where S is the total square error. ii. Compute the total of squares error,. S. iii. If the quadratic equation y(x) = 1 + bx + cx² is replaced by У(x) — а + bx + сx?, where a, b and c are constants to be determined using same techniques, what will happen to the value of S?
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