P&K 3950

Sample: Calibration -CO- paint

Input data

Temperatur CO-Concentration Status B
mA mg/µ [] []
16.879 56.3 normal Normal operation
16.879 56.4 test
16.800 92.6 test
16.791 95.2 test
16.716 153.8 test
16.704 165.1 test
16.572 299.7 test
16.528 339.4 test
16.477 461.1 test
16.438 543.6 test
16.430 585.3 test
16.349 735.5 test
16.348 698.3 test
16.350 696.2 disabled
16.258 850.6 test
16.260 881.3 peak

Characteristics

Function: y'=A*x²+B*x+C

Coefficients
a
b
c
1502
-5.112E+04
4.350E+05
Scatters 25.61
Determination coefficient  0.9937
Average value
xm
ym
16.56
400.9
Calculated values
Sxx
Syy
Sxy
0.6700
1.248E+06
-896.1

List of function values

xy'Confidence intervalTolerance interval n'
  y1y2y3y4 
15.0006142.25136.57148.0  0.0031
15.1825089.44305.35873.5  0.0051
15.3644135.83546.14725.4  0.0090
15.5453281.52859.13703.9  0.0175
15.7272526.42244.02808.9  0.0391
15.9091870.61700.82040.5  0.1080
16.0911314.11229.01399.2  0.4301
16.273856.87825.99887.75770.51943.233.2685
16.454498.89478.41519.37417.93579.857.4309
16.636240.18217.45262.90158.17322.186.0345
16.81880.72857.278104.18-1.632163.095.6669
17.00020.546-44.7085.798  0.7319

Confidence interval:

Valid for 95.0 percentage statistical certainty with table value t(12)= 2.1800

Tolerance interval:

Valid for 95.0 percentage statistical certainty with table value v(12)= 1.5161 and a share (1-gamma)=95.0 % of the entire collective

Function comparison (significance test)

Coefficients and scatter of the function:

StatementFunctionsABC
1y'=B*x+C 61.67 -1338 2.255E+04
2y'=A*x²+B*x+C 25.61 1502 -5.112E+04 4.350E+05
3y'=B*ln(x)+C 60.28 -2.219E+04 6.268E+04
4y'=A*ln²(x)+B*ln(x)+C 25.92 3.995E+05-2.265E+06 3.212E+06
5y'=B*exp(x)+C 84.95 -8.195E-05 1707
6y'=A*exp²(x)+B*exp(x)+C 23.01 8.735E-12-3.693E-04 3968

The quadratic regression formula can be assumed as better than the linear one.

Test value:63.388
Table value F(12):4.7522
Statistical certainty:95%

Only statement 1 and 2 are compared.

Characteristics / limits

Name Factor Type Y-value Y(Type) delta Y X
G 1 -- 200     16.672
G+V 1 +V 200 222.32 22.321 16.652
1.2G+V 1.2 +V 240 263.10 23.102 16.616
2G+T 2 +T 400 481.19 81.189 16.464
5%G 0.05 -- 10      
10%G 0.1 -- 20      


P&K 3783 Dispersion calculation for accidental releases (emission) according to VDI 3783 part 1 and part 2 in an integrated implementation of both guidelines.



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