Team:NTU-Singapore/Parts/Curve6

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=Curve fit for 6mM Lactose=
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[[Image:L6_3fits.jpg|900px|center|thumb|Gauss 2 to 4]]
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[https://2008.igem.org/Team:NTU-Singapore/Parts/Correlation Back to Correlations]
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[[Image:L6_g4.jpg|900px|center|thumb|Gauss 4]]<br>
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=Curve fit for 6mM Lactose=
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General model Gauss4:<br>
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[[Image:L6_3fits.jpg|900px|Gauss 2 to 4]]
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      f(x) = <br>
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              a1*exp(-((x-b1)/c1)^2) + a2*exp(-((x-b2)/c2)^2) + <br>
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              a3*exp(-((x-b3)/c3)^2) + a4*exp(-((x-b4)/c4)^2)<br>
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Coefficients (with 95% confidence bounds):<br>
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      a1 =      -139.1  (-351.8, 73.56)<br>
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      b1 =        3666  (3482, 3851)<br>
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      c1 =      309.1  (173.9, 444.2)<br>
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      a2 =      -211.6  (-1297, 873.6)<br>
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      b2 =        3953  (3560, 4345)<br>
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      c2 =      220.6  (-71.35, 512.6)<br>
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      a3 =        473  (-204.4, 1150)<br>
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      b3 =      813.4  (-8312, 9939)<br>
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      c3 =        3875  (-1.494e+004, 2.269e+004)<br>
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      a4 =  4.508e+015  (-5.202e+019, 5.203e+019)<br>
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      b4 =  4.806e+004  (-1.73e+007, 1.74e+007)<br>
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      c4 =        8138  (-1.595e+006, 1.611e+006)<br>
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<br>
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Goodness of fit:<br>
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  SSE: 325.2<br>
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  R-square: 0.9982<br>
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  Adjusted R-square: 0.9979<br>
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  RMSE: 2.272<br>
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<br>
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<br>
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[[Image:L6_g4.jpg|900px|Gauss 4]]
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Latest revision as of 00:18, 28 October 2008

Curve fit for 6mM Lactose

Gauss 2 to 4


Gauss 4

General model Gauss4:

      f(x) = 
a1*exp(-((x-b1)/c1)^2) + a2*exp(-((x-b2)/c2)^2) +
a3*exp(-((x-b3)/c3)^2) + a4*exp(-((x-b4)/c4)^2)

Coefficients (with 95% confidence bounds):

      a1 =      -139.1  (-351.8, 73.56)
b1 = 3666 (3482, 3851)
c1 = 309.1 (173.9, 444.2)
a2 = -211.6 (-1297, 873.6)
b2 = 3953 (3560, 4345)
c2 = 220.6 (-71.35, 512.6)
a3 = 473 (-204.4, 1150)
b3 = 813.4 (-8312, 9939)
c3 = 3875 (-1.494e+004, 2.269e+004)
a4 = 4.508e+015 (-5.202e+019, 5.203e+019)
b4 = 4.806e+004 (-1.73e+007, 1.74e+007)
c4 = 8138 (-1.595e+006, 1.611e+006)


Goodness of fit:

 SSE: 325.2
R-square: 0.9982
Adjusted R-square: 0.9979
RMSE: 2.272