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Data K 1 1.2 1.4 1.6 1.8 19 2 2.2 2.4 2.6 2.8 "2 3 3.2 22 3.4 3.6 3.8 y 0 0 1 0 2 5 , 4 = 7 " 1 6 0 0 0 0 0 0 0 0 rms Fit (Y-Fit)^2 0.000822 6.75E-07 0.008079 6.53E-05 0.057307 0.88867 0.293264 0.086004 1.082682 0.841472 1:00200€ 2.883582 4.479224 PARFER 373560 5.540555 2.373308 2.000006460400 7.680044 0.462459 7.680044 44.62298 5.540555 30.69775 2003200 2.883582 2245047 8.315047 472204 1.082682 1.172201 0.293264 0.086004 0.057307 0.003284 0.008079 6.53E-05 sum of rms 94.02853 9 8 7 6 5 4 3 2 1 0 0 0.5 Notes You can fit to any arbitrary function using this technique. As you received this sheet, the values for height, mean and sigma are initial guesses only. Use Solver to get best fit valu Absolutely no idea if this works in the later versions of Excel. 1 1.5 2 2.5 3 3.5 4 Data -Fit

Data K 1 1.2 1.4 1.6 1.8 19 2 2.2 2.4 2.6 2.8 "2 3 3.2 22 3.4 3.6 3.8 y 0 0 1 0 2 5 , 4 = 7 " 1 6 0 0 0 0 0 0 0 0 rms Fit (Y-Fit)^2 0.000822 6.75E-07 0.008079 6.53E-05 0.057307 0.88867 0.293264 0.086004 1.082682 0.841472 1:00200€ 2.883582 4.479224 PARFER 373560 5.540555 2.373308 2.000006460400 7.680044 0.462459 7.680044 44.62298 5.540555 30.69775 2003200 2.883582 2245047 8.315047 472204 1.082682 1.172201 0.293264 0.086004 0.057307 0.003284 0.008079 6.53E-05 sum of rms 94.02853 9 8 7 6 5 4 3 2 1 0 0 0.5 Notes You can fit to any arbitrary function using this technique. As you received this sheet, the values for height, mean and sigma are initial guesses only. Use Solver to get best fit valu Absolutely no idea if this works in the later versions of Excel. 1 1.5 2 2.5 3 3.5 4 Data -Fit

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
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Data X 1 1.2 1.4 1.6 1.8 2 2.2 ∞ AN w 0 or A 2.4 2.6 2.8 3 3.2 3.4 3.6 3.8 y 0 0 1 0 2 5 4 7 1 0 0 0 0 0 0 Fit Gaussian curve by varying the height, mean and sigma height 8 mean sigma 2.5 0.35 rms Fit (Y-Fit)^2 0.000822 6.75E-07 0.008079 6.53E-05 0.057307 0.88867 0.293264 0.086004 1.082682 0.841472 2.883582 4.479224 5.540555 2.373308 7.680044 0.462459 7.680044 44.62298 5.540555 30.69775 2.883582 8.315047 1.082682 1.172201 0.293264 0.086004 0.057307 0.003284 0.008079 6.53E-05 sum of rms 94.02853 9 8 7 6 5 4 3 N W 1 0 0 0.5 Steps 1 to activate the Solver addin go to Tools->Add ins -> Solver Add in 2 enter initial guesses for parameters height, mean, sigma in cells E3, E4, E5 1 3 create a column for the "Fit" values as shown in column D, using the model formula 4 compute the rms deviation of the "Fit" and "Y" values as shown in column E. 5 calculate the sum of column E as shown in cell H11 6 use "Tools -> Solver" to minimize value in H11 (Target Cell) by changing fit parameters in cells E3, E4, E5 Notes You can fit to any arbitrary function using this technique. As you received this sheet, the values for height, mean and sigma are initial guesses only. Use Solver to get best fit values. Absolutely no idea if this works in the later versions of Excel. 1.5 T 2 2.5 3 3.5 4 Data -Fit
Transcribed Image Text:Data X 1 1.2 1.4 1.6 1.8 2 2.2 ∞ AN w 0 or A 2.4 2.6 2.8 3 3.2 3.4 3.6 3.8 y 0 0 1 0 2 5 4 7 1 0 0 0 0 0 0 Fit Gaussian curve by varying the height, mean and sigma height 8 mean sigma 2.5 0.35 rms Fit (Y-Fit)^2 0.000822 6.75E-07 0.008079 6.53E-05 0.057307 0.88867 0.293264 0.086004 1.082682 0.841472 2.883582 4.479224 5.540555 2.373308 7.680044 0.462459 7.680044 44.62298 5.540555 30.69775 2.883582 8.315047 1.082682 1.172201 0.293264 0.086004 0.057307 0.003284 0.008079 6.53E-05 sum of rms 94.02853 9 8 7 6 5 4 3 N W 1 0 0 0.5 Steps 1 to activate the Solver addin go to Tools->Add ins -> Solver Add in 2 enter initial guesses for parameters height, mean, sigma in cells E3, E4, E5 1 3 create a column for the "Fit" values as shown in column D, using the model formula 4 compute the rms deviation of the "Fit" and "Y" values as shown in column E. 5 calculate the sum of column E as shown in cell H11 6 use "Tools -> Solver" to minimize value in H11 (Target Cell) by changing fit parameters in cells E3, E4, E5 Notes You can fit to any arbitrary function using this technique. As you received this sheet, the values for height, mean and sigma are initial guesses only. Use Solver to get best fit values. Absolutely no idea if this works in the later versions of Excel. 1.5 T 2 2.5 3 3.5 4 Data -Fit
Expert Solution
Step 1: Given
height8
mean2.5
sigma0.35


sum of rms94.02854






rms
XY
Fit(Y-FIT)^2
10
0.0008226.76013E-07
1.20
0.0080796.52702E-05
1.41
0.0573070.888670092
1.60
0.2932640.086003774
1.82
1.0826820.841472313
25
2.8835824.479225151
2.24
5.5405552.373309708
2.47
7.6800440.462459842
2.61
7.68004444.62298784
2.80
5.54055530.69774971
30
2.8835828.315045151
3.20
1.0826821.172200313
3.40
0.2932640.086003774
3.60
0.0573070.003284092
3.80
0.0080796.52702E-05


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