DESIGN ACTIVITY 3: GAUSS-NEWTON Fit the function f(x; ao, a;) = ao(1 – eatk) to the data: 0.25 0.28 0.75 0.57 1.25 0.68 1.75 0.74 2,25 0.79 X y Use initial guesses of a, = 1.0 and a, = 1.0 for the parameters. Note that for these guesses,the initial sum of the squares of the residuals is 0.0248 Show your outputs in terms of the following: 1. Paper computation and solution 2. Excel data tabling 3. Matlab code w/ results Hint:The partial derivatives of the function with respect to the parameters are: af = 1- das af daz

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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DESIGN ACTIVITY 3: GAUSS-NEWTON
Fit the function f(x; ao, a1) = ap(1 - ea1k) to the data:
0.25
0.28
0.75
1.25
0.68
1.75
2.25
0.79
y
0.57
0.74
Use initial guesses of a, = 1.0 and a, = 1.0 for the parameters.
Note that for these guesses, the initial sum of the squares of the residuals is 0.0248
Show your outputs in terms of the following:
1. Paper computation and solution
2. Excel data tabling
3. Matlab code w/ results
Hint:The partial derivatives of the function with respect to the parameters are:
af
= 1-e-a1x
dao
af
= agxe-a1x
да,
Transcribed Image Text:DESIGN ACTIVITY 3: GAUSS-NEWTON Fit the function f(x; ao, a1) = ap(1 - ea1k) to the data: 0.25 0.28 0.75 1.25 0.68 1.75 2.25 0.79 y 0.57 0.74 Use initial guesses of a, = 1.0 and a, = 1.0 for the parameters. Note that for these guesses, the initial sum of the squares of the residuals is 0.0248 Show your outputs in terms of the following: 1. Paper computation and solution 2. Excel data tabling 3. Matlab code w/ results Hint:The partial derivatives of the function with respect to the parameters are: af = 1-e-a1x dao af = agxe-a1x да,
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