Curve Fitting and Error Propagation
Absolute Zero: Determination (Example)
Air: Pressure x Temperature (Constant Volume)
Table
Tc(°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 = aTc + b (y =
ax+b)
See the complete list of library functions (miscellaneous)
Curve Fitting – Detailed Results
(parameters and covariance matrix)
Model: P = aTc + 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 => Tc = -b/a
Error Propagation
Final Result