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
icon
Related questions
Question

Need only handwritten solution only (not typed one).

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 + .
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 + .
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,