Homework Help is Here – Start Your Trial Now!
Math
Statistics
An experiment produces the following data sample pairs: t₁:0 V₁: 4.9 0.1 3.9 0.2 3.1 0.3 2.5 0.4 2.4

An experiment produces the following data sample pairs: t₁:0 V₁: 4.9 0.1 3.9 0.2 3.1 0.3 2.5 0.4 2.4

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
15
An experiment produces the following data sample pairs: i. t₁: 0 Yj: 4.9 ii. 0.1 3.9 0.2 3.1 0.3 2.5 For each measurement, the y; value is recorded along the time, t₁, at which it occurs. It is proposed to model the data as a decaying exponential as follows: 0.4 2.4 y(t) = a₁ + a₂e-5t Show how the problem of estimating a₁ and a₂ can be expressed in matrix form as a system of over-determined equations. Estimate the values of a₁ and a₂ that will result in the optimum solution with respect to the least mean squared error.
Transcribed Image Text:An experiment produces the following data sample pairs: i. t₁: 0 Yj: 4.9 ii. 0.1 3.9 0.2 3.1 0.3 2.5 For each measurement, the y; value is recorded along the time, t₁, at which it occurs. It is proposed to model the data as a decaying exponential as follows: 0.4 2.4 y(t) = a₁ + a₂e-5t Show how the problem of estimating a₁ and a₂ can be expressed in matrix form as a system of over-determined equations. Estimate the values of a₁ and a₂ that will result in the optimum solution with respect to the least mean squared error.
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS