15 An experiment produces the following data sample pairs:i.t₁: 0Yj: 4.9ii.0.13.90.23.10.32.5For each measurement, the y; value is recorded along the time, t₁, at which it occurs. It is proposedto model the data as a decaying exponential as follows:0.42.4y(t) = a₁ + a₂e-5tShow how the problem of estimating a₁ and a₂ can be expressed in matrix form as asystem of over-determined equations.Estimate the values of a₁ and a₂ that will result in the optimum solution with respect tothe least mean squared error.

Given information: t y(t) e^-5t 0 4.9 1 0.1 3.9 0.6065 0.2 3.1 0.3679 0.3 2.5 0.2231…

Answered: An experiment produces the following…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 7E

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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