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a) Plot the data points with a circle marker (Python). b) Plot the unique interpolating polynomial of maximum order (passes exactly through each point) and print the equation of the polynomial (in the form y = an xn+ an-1xn-1 + ... + a1x + a0) to the screen using python. Don't use polyfit & polyval for this problem; use the given data points to construct the matrix form for the unknowns and solve it using python to find the polynomial coefficients. c) compute the linear spline equation for each segment by hand. Include the domain. Plot the individual linear spline for every interval using python d) Plot the "not-a-knot" cubic spline (python). Make sure b,c & d are shown in different colors. Include a legend on the graph. Make observations from the final plot with all the curves. -2012 3 8 25 52 36 y-10 3

a) Plot the data points with a circle marker (Python). b) Plot the unique interpolating polynomial of maximum order (passes exactly through each point) and print the equation of the polynomial (in the form y = an xn+ an-1xn-1 + ... + a1x + a0) to the screen using python. Don't use polyfit & polyval for this problem; use the given data points to construct the matrix form for the unknowns and solve it using python to find the polynomial coefficients. c) compute the linear spline equation for each segment by hand. Include the domain. Plot the individual linear spline for every interval using python d) Plot the "not-a-knot" cubic spline (python). Make sure b,c & d are shown in different colors. Include a legend on the graph. Make observations from the final plot with all the curves. -2012 3 8 25 52 36 y-10 3

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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a) Plot the data points with a circle marker (Python). b) Plot the unique interpolating polynomial of maximum order (passes exactly through each point) and print the equation of the polynomial (in the form y = an xn+ an-1xn-1 + ... + a1x + a0) to the screen using python. Don't use polyfit & polyval for this problem; use the given data points to construct the matrix form for the unknowns and solve it using python to find the polynomial coefficients. c) compute the linear spline equation for each segment by hand. Include the domain. Plot the individual linear spline for every interval using python d) Plot the "not-a-knot" cubic spline (python). Make sure b,c & d are shown in different colors. Include a legend on the graph. Make observations from the final plot with all the curves. I-4 -2 0 1 2 3 y -10 3 8 25 52 36
Transcribed Image Text:a) Plot the data points with a circle marker (Python). b) Plot the unique interpolating polynomial of maximum order (passes exactly through each point) and print the equation of the polynomial (in the form y = an xn+ an-1xn-1 + ... + a1x + a0) to the screen using python. Don't use polyfit & polyval for this problem; use the given data points to construct the matrix form for the unknowns and solve it using python to find the polynomial coefficients. c) compute the linear spline equation for each segment by hand. Include the domain. Plot the individual linear spline for every interval using python d) Plot the "not-a-knot" cubic spline (python). Make sure b,c & d are shown in different colors. Include a legend on the graph. Make observations from the final plot with all the curves. I-4 -2 0 1 2 3 y -10 3 8 25 52 36
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