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Appendice 1
Approccio I, velocità assiale, risultati regressione Results from the project "Regression model 1"
Model Definition: Y = a*x^b
Number of observations 697 Number of missing observations 0
Solver type Nonlinear Nonlinear iteration limit 250 Diverging nonlinear iteration limit 10 Number of nonlinear iterations performed 23 Residual tolerance 0.0000000001 Sum of Residuals -4385.58749401603 Average Residual -6.29209109614925 Residual Sum of Squares (Absolute) 934206.231587682 Residual Sum of Squares (Relative) 934206.231587682 Standard Error of the Estimate 36.6630826334027 Coefficient of Multiple Determination (R^2) 0.9964165856 Proportion of Variance Explained 99.64165856%
Adjusted coefficient of multiple determination (Ra^2) 0.9964114296 Durbin-Watson statistic 4.16344731441957E-02
Regression Variable Results
Variable Value Standard Error t-ratio Prob(t)
a -577,026976 4,45684919 -129,4697109 0.0
b -1,04360957 0,002909782 -358,6555545 0.0
68% Range of confidence
Variable Value 68% (+/-) Lower Limit Upper Limit
a -577,026976 4,435456314 -581,4624325 -572,59152
b -1,04360957 0,002895815 -1,046505383 -1,04071375
90% Range of confidence
Variable Value 90% (+/-) Lower Limit Upper Limit
a -577,026976 7,340430616 -584,3674068 -569,686546
b -1,04360957 0,004792411 -1,048401979 -1,03881716
95% Range of confidence
Variable Value 95% (+/-) Lower Limit Upper Limit
a -577,026976 8,7505777 -585,7775539 -568,276399
b -1,04360957 0,005713066 -1,049322634 -1,0378965
99% Range of confidence
Variable Value 99% (+/-) Lower Limit Upper Limit
a -577,026976 11,51159577 -588,538572 -565,51538
b -1,04360957 0,007515677 -1,051125244 -1,03609389
Variance Analysis
Source DF Sum of Squares Mean Square F Ratio Prob(F) Regression 1 259768613,8 259768613,8 193254,1022 0
Error 695 934206,2316 1344,181628
Total 696 260702820
149
Approccio II, velocità assiale, risultati regressione scenario 1
Results from the project
"Regression model II: Scenario 1"
Model Definition:Y = a+b/x Number of observations = 697 Number of missing observations = 0 Solver type: Nonlinear
Nonlinear iteration limit = 250 Diverging nonlinear iteration limit =10 Number of nonlinear iterations performed = 11 Residual tolerance = 0.0000000001
Sum of Residuals = 1.91057836218533E-10 Average Residual = 2.74114542637781E-13
Residual Sum of Squares (Absolute) = 1265841.95439805 Residual Sum of Squares (Relative) = 1265841.95439805 Standard Error of the Estimate = 42.6773397726375
Coefficient of Multiple Determination (R^2) = 0.9951445023 Proportion of Variance Explained = 99.51445023%
Adjusted coefficient of multiple determination (Ra^2) = 0.9951375159 Durbin-Watson statistic = 1.88234890068211E-02
Regression Variable Results
Variable Value Standard Error t-ratio Prob(t)
a 1.208879 1.637096 0.738429 0.4605
b -642.857 1.703319 -377.415 0
68% Confidence Intervals
Variable Value 68% (+/-) Lower Limit Upper Limit
a 1.208879 1.629238 -0.42036 2.838117
b -642.857 1.695143 -644.553 -641.162
90% Confidence Intervals
Variable Value 90% (+/-) Lower Limit Upper Limit
a 1.208879 2.696297 -1.48742 3.905176
b -642.857 2.805367 -645.663 -640.052
95% Confidence Intervals
Variable Value 95% (+/-) Lower Limit Upper Limit
a 1.208879 3.214274 -2.0054 4.423153
b -642.857 3.344297 -646.202 -639.513
99% Confidence Intervals
Variable Value 99% (+/-) Lower Limit Upper Limit
a 1.208879 4.228455 -3.01958 5.437334
b -642.857 4.399503 -647.257 -638.458
Variance Analysis
Source DF Sum of Squares Mean Square F Ratio Prob(F)
Regression 1 2.59E+08 2.59E+08 142441.7 0
Error 695 1265842 1821.355
Total 696 2.61E+08
151
Approccio II, velocità assiale, risultati regressione scenario 2
Results from the project
"Regression model II: Scenario 2"
Model Definition:Y = a+b/x Number of observations = 696 Number of missing observations = 0 Solver type: Nonlinear
Nonlinear iteration limit = 250 Diverging nonlinear iteration limit =10
Number of nonlinear iterations performed = 11 Residual tolerance = 0.0000000001
Sum of Residuals = -1.34576794152963E-11 Average Residual = -1.93357462863453E-14
Residual Sum of Squares (Absolute) = 1717752.86557185 Residual Sum of Squares (Relative) = 1717752.86557185 Standard Error of the Estimate = 49.7508615129938 Coefficient of Multiple Determination (R^2) = 0.9933312761 Proportion of Variance Explained = 99.33312761%
Adjusted coefficient of multiple determination (Ra^2) = 0.993321667 Durbin-Watson statistic = 2.70786536957601E-02
Regression Variable Results
Variable Value Standard Error t-ratio Prob(t)
a -70.8623 1.909838 -37.1038 0
b -638.806 1.986842 -321.518 0
68% Confidence Intervals
Variable Value 68% (+/-) Lower Limit Upper Limit
a -70.8623 1.900671 -72.7629 -68.9616
b -638.806 1.977305 -640.783 -636.828
90% Confidence Intervals
Variable Value 90% (+/-) Lower Limit Upper Limit
a -70.8623 3.145694 -74.008 -67.7166
b -638.806 3.272528 -642.078 -635.533
95% Confidence Intervals
Variable Value 95% (+/-) Lower Limit Upper Limit
a -70.8623 3.749776 -74.612 -67.1125
b -638.806 3.900966 -642.707 -634.905
99% Confidence Intervals
Variable Value 99% (+/-) Lower Limit Upper Limit
a -70.8623 4.93292 -75.7952 -65.9294
b -638.806 5.131815 -643.938 -633.674
Variance Analysis
Source DF Sum of Squares Mean Square F Ratio Prob(F)
Regression 1 2.56E+08 2.56E+08 103373.9 0
Error 694 1717753 2475.148
Total 695 2.58E+08
153
Approccio II, velocità assiale, risultati regressione scenario 3
Results from the project
"Regression model II: Scenario 3"
Model Definition:Y = a+b/x Number of observations = 696 Number of missing observations = 0 Solver type: Nonlinear
Nonlinear iteration limit = 250 Diverging nonlinear iteration limit =10 Number of nonlinear iterations performed = 2 Residual tolerance = 0.0000000001
Sum of Residuals = 4.78195261166547E-12 Average Residual = 6.87062156848488E-15
Residual Sum of Squares (Absolute) = 2255910.84760273 Residual Sum of Squares (Relative) = 2255910.84760273 Standard Error of the Estimate = 57.0139631969885 Coefficient of Multiple Determination (R^2) = 0.9912254124 Proportion of Variance Explained = 99.12254124%
Adjusted coefficient of multiple determination (Ra^2) = 0.9912127689 Durbin-Watson statistic = 1.90847813114641E-02
Regression Variable Results
Variable Value Standard Error t-ratio Prob(t)
a -30.0024 2.188654 -13.7081 0
b -637.922 2.27832 -279.996 0
68% Confidence Intervals
Variable Value 68% (+/-) Lower Limit Upper Limit
a -30.0024 2.178149 -32.1805 -27.8242
b -637.922 2.267384 -640.189 -635.654
90% Confidence Intervals
Variable Value 90% (+/-) Lower Limit Upper Limit
a -30.0024 3.604932 -33.6073 -26.3975
b -637.922 3.752621 -641.674 -634.169
95% Confidence Intervals
Variable Value 95% (+/-) Lower Limit Upper Limit
a -30.0024 4.297204 -34.2996 -25.7052
b -637.922 4.473253 -642.395 -633.448
99% Confidence Intervals
Variable Value 99% (+/-) Lower Limit Upper Limit
a -30.0024 5.653075 -35.6555 -24.3493
b -637.922 5.884672 -643.806 -632.037
Variance Analysis
Source DF Sum of Squares Mean Square F Ratio Prob(F)
Regression 1 2.55E+08 2.55E+08 78398.04 0
Error 694 2255911 3250.592
Total 695 2.57E+08
