Problem 1 Generate pairs of data (x;, yi) using = (0:0.1: 2.5)';y= erf(x); in MATLAB. Assume that the output y(t) can be approximated by a sixth – th degree polynomial in terms of x(t) (including a constant bias term, so seven pa- rameters in total): y(t) = 01 + 0,x(t) + 03x (t) + 04x°(t) + 05x*(t) + O6x* (t) + 0,x° (t) Solve for the coefficients 0;, i = 1,2,3,4,5,6,7 using batch least squares. Com- pare the result with the MATLAB function "polyfit."
Problem 1 Generate pairs of data (x;, yi) using = (0:0.1: 2.5)';y= erf(x); in MATLAB. Assume that the output y(t) can be approximated by a sixth – th degree polynomial in terms of x(t) (including a constant bias term, so seven pa- rameters in total): y(t) = 01 + 0,x(t) + 03x (t) + 04x°(t) + 05x*(t) + O6x* (t) + 0,x° (t) Solve for the coefficients 0;, i = 1,2,3,4,5,6,7 using batch least squares. Com- pare the result with the MATLAB function "polyfit."
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
Related questions
Question
![Problem 1 Generate pairs of data (x;, yi) using
x= (0:0.1: 2.5)';y= erf(x);
in MATLAB. Assume that the output y(t) can be approximated by a sixth – th
degree polynomial in terms of x(t) (including a constant bias term, so seven pa-
rameters in total):
y(t) = 01 + 02x(t) + O3x² (t) + O4x*(t) + 0sx* (t) + O6x*(t) +0,x°(t)
Solve for the coefficients 0;, i = 1,2,3,4,5,6,7 using batch least squares. Com-
pare the result with the MATLAB function "polyfit."
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60d43498-c6b3-4aa7-a7b3-d7af23b704eb%2F0334a7d2-c2ab-4dac-aef4-ecc463bd6219%2Fvgpo9nh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 1 Generate pairs of data (x;, yi) using
x= (0:0.1: 2.5)';y= erf(x);
in MATLAB. Assume that the output y(t) can be approximated by a sixth – th
degree polynomial in terms of x(t) (including a constant bias term, so seven pa-
rameters in total):
y(t) = 01 + 02x(t) + O3x² (t) + O4x*(t) + 0sx* (t) + O6x*(t) +0,x°(t)
Solve for the coefficients 0;, i = 1,2,3,4,5,6,7 using batch least squares. Com-
pare the result with the MATLAB function "polyfit."
%3D
![Problem 2 Write MATLAB code to solve Problem 1 using the least-squares
gradient method with O(0) = 0 and I= 301. Plot 0;(t) versus t. Compare the
result with that in Problem 1. Note that the Euler method for the least-squares
gradient method is expressed as
O; - ATO (x;) 4" (x;) O; –
Oit!
Yi
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60d43498-c6b3-4aa7-a7b3-d7af23b704eb%2F0334a7d2-c2ab-4dac-aef4-ecc463bd6219%2Fmw7x7yp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 2 Write MATLAB code to solve Problem 1 using the least-squares
gradient method with O(0) = 0 and I= 301. Plot 0;(t) versus t. Compare the
result with that in Problem 1. Note that the Euler method for the least-squares
gradient method is expressed as
O; - ATO (x;) 4" (x;) O; –
Oit!
Yi
%3D
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Computer Networking: A Top-Down Approach (7th Edi…](https://www.bartleby.com/isbn_cover_images/9780133594140/9780133594140_smallCoverImage.gif)
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
![Computer Organization and Design MIPS Edition, Fi…](https://www.bartleby.com/isbn_cover_images/9780124077263/9780124077263_smallCoverImage.gif)
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
![Network+ Guide to Networks (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337569330/9781337569330_smallCoverImage.gif)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
![Computer Networking: A Top-Down Approach (7th Edi…](https://www.bartleby.com/isbn_cover_images/9780133594140/9780133594140_smallCoverImage.gif)
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
![Computer Organization and Design MIPS Edition, Fi…](https://www.bartleby.com/isbn_cover_images/9780124077263/9780124077263_smallCoverImage.gif)
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
![Network+ Guide to Networks (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337569330/9781337569330_smallCoverImage.gif)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
![Concepts of Database Management](https://www.bartleby.com/isbn_cover_images/9781337093422/9781337093422_smallCoverImage.gif)
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
![Prelude to Programming](https://www.bartleby.com/isbn_cover_images/9780133750423/9780133750423_smallCoverImage.jpg)
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
![Sc Business Data Communications and Networking, T…](https://www.bartleby.com/isbn_cover_images/9781119368830/9781119368830_smallCoverImage.gif)
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY