Team:NTU-Singapore/Parts/Curve1

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[https://2008.igem.org/Team:NTU-Singapore/Parts/Correlation Back to Correlations]
 
=Curve fit for 1mM Lactose=
=Curve fit for 1mM Lactose=
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[[Image:L1_4fits.jpg|800px|Gauss 1 to 4]]
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[[Image:L1_4fits1.jpg|800px|thumb|center| Graph of Gauss 1 to 4]]
As seen the 4th order Gaussian Fit does not give a result significantly better than the the 3rd order Gaussian fit. This is seen in the Spectral Residuals. We can use the 3rd order Gaussian fit as the curve for this Curve fit result.
As seen the 4th order Gaussian Fit does not give a result significantly better than the the 3rd order Gaussian fit. This is seen in the Spectral Residuals. We can use the 3rd order Gaussian fit as the curve for this Curve fit result.
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[[Image:L1_g3.jpg|800px|Gauss 3]]
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[[Image:L1_g3a.jpg|800px|thumb|center|Graph of Gauss 3]]
General model Gauss3:<br>
General model Gauss3:<br>
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   R-square: 0.9947<br>
   R-square: 0.9947<br>
   Adjusted R-square: 0.994<br>
   Adjusted R-square: 0.994<br>
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   RMSE: 1.399<br>
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   RMSE: 1.399 <br>
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Latest revision as of 00:15, 28 October 2008

Curve fit for 1mM Lactose

Graph of Gauss 1 to 4

As seen the 4th order Gaussian Fit does not give a result significantly better than the the 3rd order Gaussian fit. This is seen in the Spectral Residuals. We can use the 3rd order Gaussian fit as the curve for this Curve fit result.

Graph of Gauss 3

General model Gauss3:

      f(x) = 

             a1*exp(-((x-b1)/c1)^2) + a2*exp(-((x-b2)/c2)^2) + 

             a3*exp(-((x-b3)/c3)^2)

Coefficients (with 95% confidence bounds):

      a1 =       84.12  (41.48, 126.7)

      b1 =        3636  (3547, 3724)

      c1 =       633.4  (491.2, 775.5)

      a2 =       36.33  (23.83, 48.84)

      b2 =        2678  (2601, 2756)

      c2 =       502.4  (409.5, 595.2)

      a3 =       493.4  (487.1, 499.6)

      b3 =        2023  (1345, 2700)

      c3 =        6855  (4681, 9029)

Goodness of fit:

 SSE: 129.2

 R-square: 0.9947

 Adjusted R-square: 0.994

 RMSE: 1.399





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