In: Statistics and Probability
Sol:
Sol:
Design Expert Output
Response 1 Avg Fit Time
ANOVA for response surface reduced quadartic model
Analysis of variance table [Partial sum of squares - Type III]
Source | Sum of squares | df | Mean square | F value |
P-value Prob >F |
---|---|---|---|---|---|
Model | 0.28 | 11 | 0.025 | 15.78 | <0.0001 significance |
A-wing area | 1.67E005 | 1 | 1.667E005 | 0.010 | 0.9198 |
B length width | 0.062 | 1 | 0.062 | 38.83 | <0.0001 |
Cbase width | 1.500E004 | 1 | 1.500E004 | 0.094 | 0.7628 |
Dbase width | 0.089 | 1 | 0.089 | 55.61 | <0.0001 |
AB | 0.013 | 1 | 0.013 | 8.28 | 0.0100 |
AC | 0.023 | 1 | 0.023 | 14.09 | 0.0015 |
AD | 0.031 | 1 | 0.031 | 19.17 | 0.0004 |
BC | 0.034 | 1 | 0.034 | 21.43 | 0.0002 |
CD | 7.225E003 | 1 | 7.22E003 | 4.52 | 0.0475 |
A2 | 7.511E003 | 1 | 7.51E003 | 4.70 | 0.0438 |
C2 | 0.013 | 1 | 0.013 | 8.04 | 0.0110 |
Residual | 0.029 | 18 | 1.597E003 | ||
LACK OF FIT | 0.020 | 13 | 1.513E003 | 0.83 | 0.6382 |
PURE ERROR | 9.083E003 | 5 | |||
COR TOTAL | 0.31 | 29 |
Std. dev 0.040 R squared 0.9060
mean 3.66 Adj R-squared 0.8486
c.v% 1.09 Pred R squared 0.7581
press 0.074 Adeq predision 19.913
Factor | Coefficient Estimate | df | Standard Error | 95%CI Low | 95%CI High | VIF |
---|---|---|---|---|---|---|
INTERCEPT | 370 | 1 | 0.012 | 367 | 372 | 1.00 |
a wing area | 8.33E004 | 1 | 8.158E003 | 0.018 | 0.016 | 1.00 |
B length width | 0.051 | 1 | 8.158E003 | 0.034 | 0.068 | 1.00 |
C Base width | 2.500E003 | 1 | 8.158E003 | 0.015 | 0.020 | 1.00 |
D base width | 0.061 | 1 | 8.158E003 | 0.078 | 0.054 | 1.00 |
AB | 0.029 | 1 | 9.991E003 | 0.050 | 7.75E003 | 1.00 |
AC | 0.037 | 1 | 9.991E003 | 0.058 | 0.017 | 1.00 |
AD | 0.044 | 1 | 9.991E003 | 0.023 | 0.065 | 1.00 |
BC | 0.045 | 1 | 9.991E003 | 0.025 | 0.067 | 1.00 |
CD | 0.021 | 1 | 9.991E003 | 0.042 | 2.590E004 | 1.00 |
A2 | 0.016 | 1 | 7.491E003 | 0.032 | 5.060E004 | 1.01 |
C2 | 0.021 | 1 | 1.491E003 | 0.037 | 5.507E003 |
1.01 |
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