| P&K 3950Sample: project B (quadratic regression) Input data| Current | Concentration |
|---|
| [mA] | [mg/m3] |
|---|
| 5.0 | 48 | | 7.3 | 100 | | 8.6 | 146 | | 4.4 | 17 | | 5.7 | 60 | | 6.8 | 98 | | 7.1 | 102 | | 12.6 | 209 | | 11.7 | 205 | | 11.9 | 201 | | 14.3 | 232 | | 14.9 | 242 | | 10.7 | 188 | | 17.8 | 280 | | 16.1 | 272 | | 14.3 | 238 | | 16.7 | 267 | | 18.3 | 296 | | 18.1 | 292 | | 17.1 | 274 |
CharacteristicsFunction: y'=A*x²+B*x+C| Coefficients | | | | Scatter | s | 6.834 | | Determination coefficient | | 0.9947 | | Average value | | | | Calculated values | | |
List of function values| x | y' | Confidence interval | Tolerance interval | n' |
|---|
| | | y1 | y2 | y3 | y4 | |
|---|
| 4.4000 | 26.760 | 18.304 | 35.216 | 5.2079 | 48.312 | 2.9091 | | 5.6636 | 62.195 | 56.180 | 68.210 | 41.914 | 82.476 | 5.7497 | | 6.9272 | 95.287 | 90.515 | 100.06 | 75.544 | 115.03 | 9.1346 | | 8.1908 | 126.04 | 121.40 | 130.68 | 106.35 | 145.73 | 9.6750 | | 9.4544 | 154.45 | 149.45 | 159.44 | 134.62 | 174.28 | 8.3420 | | 10.718 | 180.52 | 175.22 | 185.81 | 160.56 | 200.47 | 7.4260 | | 11.982 | 204.24 | 198.95 | 209.53 | 184.28 | 224.20 | 7.4239 | | 13.245 | 225.62 | 220.66 | 230.59 | 205.81 | 245.44 | 8.4524 | | 14.509 | 244.67 | 240.22 | 249.12 | 225.05 | 264.29 | 10.509 | | 15.772 | 261.37 | 257.13 | 265.60 | 241.82 | 280.91 | 11.594 | | 17.036 | 275.72 | 270.65 | 280.80 | 255.86 | 295.59 | 8.0690 | | 18.300 | 287.74 | 280.50 | 294.98 | 266.85 | 308.63 | 3.9699 |
Confidence interval:Valid for 95.0 percentage statistical certainty with table value t(17)= 2.1106 Tolerance interval:Valid for 95.0 percentage statistical certainty with table value v(17)= 1.4004 and a share (1-gamma)=95.0 % of the entire collective Function comparison (significance test)Coefficients and scatter of the function:| Statement | Function | s | A | B | C |
|---|
| 1 | y'=B*x+C | 14.33 | | 18.50 | -33.12 | | 2 | y'=A*x²+B*x+C | 6.834 | -0.7333 | 35.42 | -114.9 | | 3 | y'=B*ln(x)+C | 6.093 | | 192.0 | -270.7 | | 4 | y'=A*ln²(x)+B*ln(x)+C | 5.678 | 14.87 | 124.8 | -198.2 | | 5 | y'=B*exp(x)+C | 73.10 | | 2.011E-06 | 160.6 | | 6 | y'=A*exp²(x)+B*exp(x)+C | 68.04 | -5.733E-14 | 6.405E-06 | 149.1 |
The quadratic regression formula can be assumed as better than the linear one. | Test value: | 62.128 | | Table value F(17): | 4.4546 | | Statistical certainty: | 95% |
Only statement 1 and 2 are compared. Characteristics / limits| Name | Factor | Type | Y-value | Y(Type) | delta Y | X |
|---|
| G | 1 | -- | 125 | | | 8.1474 | | G+V | 1 | +V | 125 | 129.67 | 4.6697 | 8.3466 | | 1.2G+V | 1.2 | +V | 150 | 154.98 | 4.9881 | 9.4794 | | 2G+T | 2 | +T | 250 | 269.65 | 19.656 | 16.476 | | 5%G | 0.05 | -- | 6.25 | | | 3.7037 | | 10%G | 0.1 | -- | 12.5 | | | 3.9132 |
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| - Tags:VDI 2280, VDI 3781 part 4, DIN 51603-1, DIN V 18160-1, DIN EN 15287-1/2, DIN EN 13384-1/2, DIN EN 13084, Minimum stack height, Chimney height, Recirculation zone, Exhaust gas, Solvents, Combustion systems, Installations requiring a permit, Gas appliances, Liquid gas, BImSchV, Environmental impact, Exposure zone, Combustion, Emissions, Exhaust gas discharge system, Environmental meteorology, Discharge conditions, Effective height
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