Problem 3 (15 points) (Core Course Outcomes 1,4 & 12) For problem 2 reporting results with at least 5 significant digits, a) calculate and report (=print) the order of accuracy p using linear least squares regression for the entire range of hk values where truncation errors dominate. Give (=print) the range of k values used for the fit, i.e., the minimum and maximum k values used for the fit. b) calculate and report (=print) the order of accuracy p using linear least squares regression for the entire range of hk values where round-off errors dominates. Give (=print) the range of k values used for the fit, i.e., the minimum and maximum k values used for the fit. You do not have to determine the ranges of k values for a) and b) automatically in code, but can determine them from the graph of problem 2 and then set them in your script. Required submission: well commented script source code included in your Gradescope submission; printout of requested results in your Gradescope submission;
Problem 3 (15 points) (Core Course Outcomes 1,4 & 12) For problem 2 reporting results with at least 5 significant digits, a) calculate and report (=print) the order of accuracy p using linear least squares regression for the entire range of hk values where truncation errors dominate. Give (=print) the range of k values used for the fit, i.e., the minimum and maximum k values used for the fit. b) calculate and report (=print) the order of accuracy p using linear least squares regression for the entire range of hk values where round-off errors dominates. Give (=print) the range of k values used for the fit, i.e., the minimum and maximum k values used for the fit. You do not have to determine the ranges of k values for a) and b) automatically in code, but can determine them from the graph of problem 2 and then set them in your script. Required submission: well commented script source code included in your Gradescope submission; printout of requested results in your Gradescope submission;
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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