P&K 3950

Sample: Calibration -CO- paint

Input data

TemperaturCO-ConcentrationStatusB
mAmg/µ[][]
16.87956.3normal Normal operation
16.87956.4test
16.80092.6test
16.79195.2test
16.716153.8test
16.704165.1test
16.572299.7test
16.528339.4test
16.477461.1test
16.438543.6test
16.430585.3test
16.349735.5test
16.348698.3test
16.350696.2disabled
16.258850.6test
16.260881.3peak

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

NameFactorTypeY-valueY(Type)delta YX
G 1--200  16.672
G+V 1+V200222.3222.32116.652
1.2G+V1.2+V240263.1023.10216.616
2G+T 2+T400481.1981.18916.464
5%G 0.05--10   
10%G 0.1--20   


Web Services, IT Services



Language: