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You are given the following data: t - [0 .1 .499 y - [o .06 .17 1.0 1.4 1.5 1.899 1.9 2.0 ] .31 .31 ] .5 .6 .19 .21 .26 .29 .29 .30 (a) Plot the data, using "*" at the data points, then try a polynomial fit of the correct degree to interpolate this number of data points: What do you observe. Give an explanation of this error, in particular why is the term badly conditioned used? (b) Plot the data along with a spline interpolant. How does this compare with the plot above? What is a way to make the plot better?

You are given the following data: t - [0 .1 .499 y - [o .06 .17 1.0 1.4 1.5 1.899 1.9 2.0 ] .31 .31 ] .5 .6 .19 .21 .26 .29 .29 .30 (a) Plot the data, using "*" at the data points, then try a polynomial fit of the correct degree to interpolate this number of data points: What do you observe. Give an explanation of this error, in particular why is the term badly conditioned used? (b) Plot the data along with a spline interpolant. How does this compare with the plot above? What is a way to make the plot better?

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
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You are given the following data: |t [ o .1 .499 y = [o .06 .17 1.4 1.5 1.899 1.9 2.0 ] .31 .31 ] .5 .6 1.0 .19 .21 . 26 .29 .29 .30 (a) Plot the data, using "*" at the data points, then try a polynomial fit of the correct degree to interpolate this number of data points: What do you observe. Give an explanation of this error, in particular why is the term badly conditioned used? (b) Plot the data along with a spline interpolant. How does this compare with the plot above? What is a way to make the plot better?
Transcribed Image Text:You are given the following data: |t [ o .1 .499 y = [o .06 .17 1.4 1.5 1.899 1.9 2.0 ] .31 .31 ] .5 .6 1.0 .19 .21 . 26 .29 .29 .30 (a) Plot the data, using "*" at the data points, then try a polynomial fit of the correct degree to interpolate this number of data points: What do you observe. Give an explanation of this error, in particular why is the term badly conditioned used? (b) Plot the data along with a spline interpolant. How does this compare with the plot above? What is a way to make the plot better?
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