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6. Given a set of n points (x1, y1), (x2, y2),... (æn, Yn), determine the best fit quadratic y = ao+a1x+a₂x² using the same method that we did in class for linear regression. Show that the coefficients can be obtained using the matrix equation (XTX)A = (XTY) where A contains the unknown coefficients ao, a1 and a2.

6. Given a set of n points (x1, y1), (x2, y2),... (æn, Yn), determine the best fit quadratic y = ao+a1x+a₂x² using the same method that we did in class for linear regression. Show that the coefficients can be obtained using the matrix equation (XTX)A = (XTY) where A contains the unknown coefficients ao, a1 and a2.

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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6. Given a set of n points (x1, y1), (x2, y2),... (xn, yn), determine the best fit quadratic y = ao+a1x+a2x² using the same method that we did in class for linear regression. Show that the coefficients can be obtained using the matrix equation (XTX)A = (XTY) where A contains the unknown coefficients ao, a₁ and a2. 7. (Multiple linear regression) Given a set of n points (x1, y1, 21), (x2, Y2, 22),..., (xn, yn, Zn), determine the best fit plane z = ao + a₁x + a2y using the same method that we did in class for linear regression. Show that the coefficients can be obtained using the matrix equation (XTX)A = (XTY) where A contains the unknown coefficients ao, a1 and a2
Transcribed Image Text:6. Given a set of n points (x1, y1), (x2, y2),... (xn, yn), determine the best fit quadratic y = ao+a1x+a2x² using the same method that we did in class for linear regression. Show that the coefficients can be obtained using the matrix equation (XTX)A = (XTY) where A contains the unknown coefficients ao, a₁ and a2. 7. (Multiple linear regression) Given a set of n points (x1, y1, 21), (x2, Y2, 22),..., (xn, yn, Zn), determine the best fit plane z = ao + a₁x + a2y using the same method that we did in class for linear regression. Show that the coefficients can be obtained using the matrix equation (XTX)A = (XTY) where A contains the unknown coefficients ao, a1 and a2
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