Write a Python program which takes any data set (x1, y1), (2, y2),... (*N, YN) and computes the best fit polynomial P(x) = a +₁x + ₂x² +...+ ªkak, ax
Write a Python program which takes any data set (x1, y1), (2, y2),... (*N, YN) and computes the best fit polynomial P(x) = a +₁x + ₂x² +...+ ªkak, ax
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
Please use python and show codes
![**Title: Writing a Python Program for Polynomial Curve Fitting**
**Introduction:**
This educational guide helps you understand how to write a Python program that takes any data set in the form of points and computes the best fit polynomial. The objective is to derive a polynomial of degree \( K \) that best fits the given data.
**Data Set:**
Consider a data set comprising several pairs of values:
\[
(x_1, y_1), (x_2, y_2), \ldots, (x_N, y_N)
\]
**Goal:**
The program aims to compute the best fit polynomial of the form:
\[
P(x) = a_0 + a_1x + a_2x^2 + \ldots + a_Kx^K
\]
**Steps to Follow:**
1. **Input the Data:** Begin by inputting or defining your set of data points.
2. **Choose a Degree:** Select the degree \( K \) for your polynomial.
3. **Computation:** Utilize polynomial fitting techniques, such as least squares fitting, to compute the coefficients \( a_0, a_1, \ldots, a_K \).
4. **Output the Polynomial:** The program should output the polynomial equation and can also plot it against the data points for visualization.
By following these steps, you will be able to create a Python script to determine and visualize the best fit polynomial for any given data set.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34c2a7c6-20d8-45e7-8c90-b1c224068cda%2Fb9260112-be3b-4fe3-803f-4e8462344799%2Fomla7l8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Writing a Python Program for Polynomial Curve Fitting**
**Introduction:**
This educational guide helps you understand how to write a Python program that takes any data set in the form of points and computes the best fit polynomial. The objective is to derive a polynomial of degree \( K \) that best fits the given data.
**Data Set:**
Consider a data set comprising several pairs of values:
\[
(x_1, y_1), (x_2, y_2), \ldots, (x_N, y_N)
\]
**Goal:**
The program aims to compute the best fit polynomial of the form:
\[
P(x) = a_0 + a_1x + a_2x^2 + \ldots + a_Kx^K
\]
**Steps to Follow:**
1. **Input the Data:** Begin by inputting or defining your set of data points.
2. **Choose a Degree:** Select the degree \( K \) for your polynomial.
3. **Computation:** Utilize polynomial fitting techniques, such as least squares fitting, to compute the coefficients \( a_0, a_1, \ldots, a_K \).
4. **Output the Polynomial:** The program should output the polynomial equation and can also plot it against the data points for visualization.
By following these steps, you will be able to create a Python script to determine and visualize the best fit polynomial for any given data set.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 4 images
Recommended textbooks for you
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…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
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…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
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)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY