Mathematical Modeling of Hydraulic Transients in Simple Systems - Advances in Control and Automation of Water Systems - page 30

2.2.3 variable Processing summary

tABle 2.3 Model Description of Regression software.

Variables

Dependent Independent

bar m/sec

Number of Positive Values 24 23

Number of Zeros 0 1(a,b)

Number of Negative Values 0 0

Number of Missing Values User-Missing 0 0

System-Missing 0 0

(a): The Inverse or S model cannot be calculated.
(b): The Logarithmic or Power model cannot be calculated.

2.2.4 model summary and Parameter estimates

tABle 2.4 Model Description of Regression software

Dependent Variable: bar

Equation Model Summary Parameter Estimates

R Square F df1 df2 Sig.

a

a

a a

2

0

3

y   a ax

.418 15.831 1 22 .001 6.062 .571

Linear

01

Logarithmic(a) . . . . . . .

Inverse(b) . . . . . . .

y  a ax a x

2

.487 9.955 2 21 .001 6.216 -.365 .468

Quadratic

0 1 2

2 3

y   .493 a ax a x ax 10.193 2 21 .001 6.239 .000 -.057 .174

Cubic

0 1 2 3

kt

.424 16.207 1 22 .001 6.076 1.089

Compound

A  Ce

Power(a)

. . . . . . .

S(b)

. . . . . . .

.424 16.207 1 22 .001 1.804 .085

Growth (/

dA dT )  KA

.424 16.207 1 22 .001 6.076 .085

x

Exponential

y ab  

b .424 16.207 1 22 .001 .165 .918

Logistic

y ax  

The independent variable is m/sec.
(a): The independent variable (m/sec) contains non-positive values. The minimum
value is .00. The Logarithmic and Power models cannot be calculated.
(b): The independent variable (m/sec) contains values of zero. The Inverse and S
models cannot be calculated.