Curve Fitting and Error Propagation



Absolute Zero: Determination (Example)

 

 

Air: Pressure x Temperature (Constant Volume)

Table

 

t(C) P(cmHg)

 

0.3200000E+02 0.7330000E+02

0.3500000E+02 0.7450000E+02

0.3800000E+02 0.7510000E+02

0.4100000E+02 0.7600000E+02

0.4400000E+02 0.7680000E+02

0.4700000E+02 0.7760000E+02

0.5000000E+02 0.7820000E+02

0.5300000E+02 0.7900000E+02

0.5600000E+02 0.7960000E+02

0.5900000E+02 0.8020000E+02

0.6200000E+02 0.8100000E+02

0.6500000E+02 0.8150000E+02

0.6800000E+02 0.8210000E+02

0.7100000E+02 0.8270000E+02

 

 

 

 

 

Data Information

 

 

 

 

 

 

 

 

Model: P = at + b (y = ax+b)


See the complete list of library functions (miscellaneous)

 

 

 

 

 

Curve Fitting Detailed Results

(parameters and covariance matrix)

 

 

Model: P = at + b (y = ax+b)

a = 0.236 0.005; b = 66.24 0.27 and cov(a,b) = - .129946E-02

 

 

 

 

 

Absolute Zero: Determination (P = 0)

 

P = 0 => t = -b/a

 

 

 

 

 

Error Propagation

 

 

 

 

 

 

 

 

 

Final Result

 

t = -281 7 C



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