5. Compute the least squares regression to fit a line to the data set {(1, 1), (1, 2), (2,5), (4,4)}. Set up the linear system Az = b. Show that it has no solution. Compute the best approximate solution x. You can use the formula x = (ATA)-1¹ATb. Plot the data together with the least squares regression line (use DESMOS). Answer: y = x + .
5. Compute the least squares regression to fit a line to the data set {(1, 1), (1, 2), (2,5), (4,4)}. Set up the linear system Az = b. Show that it has no solution. Compute the best approximate solution x. You can use the formula x = (ATA)-1¹ATb. Plot the data together with the least squares regression line (use DESMOS). Answer: y = x + .
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:5. Compute the least squares regression to fit a line to the data set
{(1, 1), (1, 2), (2,5), (4,4)}.
Set up the linear system Az = b. Show that it has no solution. Compute the best approximate solution x.
You can use the formula x = (ATA)-¹ATb. Plot the data together with the least squares regression line (use
DESMOS). Answer: y = x + .
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