6.2.2 Basic Regression Relationships Between the Variables
In the correlation and regression analyses, the physical
relationship between the variables can be described as follows:
- Discharge (Q) vs Percent Open Area (Ap)
Fundamental relationship: Q = Ap V
Regression type = Linear
- Discharge (Q) vs entrance velocity (V)
Fundamental relationship: Q = Ap V
Regression type = Linear
- Well efficiency (E) vs discharge (Q)
Fundamental relationship: E =
Regression type = Hyperbolic
- Discharge (Q) vs Screen Loss (h)
Fundamental relationship: 
Regression type = Linear
- Entrance velocity (V) vs % open area (Ap)
Fundamental relationship: 
Regression Type = Hyperbolic
- Well efficiency (E) vs % open area (Ap)
Fundamental relationship: 
Regression type = Hyperbolic
- % open area (Ap) vs screen loss (
h)
Fundamental relationship: 
Regression type = Linear
- Well efficiency (E) vs entrance velocity (V)
Fundamental relationship: 
Regression type = Hyperbolic
- Screen head loss ( h) vs entrance velocity (V)
Fundamental relationship: 
Regression type = Parabolic
- Well efficiency (E) vs screen loss ( h)
Fundamental relationship: 
Regression type = Hyperbolic
Figures 17 through 23
show results of regression and correlation analysis on the five significant variables
(Q, Ap, h, E, V) using the combination analysis described in section 6.1. The
regression of the Y variable on the X variable was performed using both linear as
well as the regression type discussed in section 6.2.2. Correlation coefficients
were calculated and the unexplained variation delineated as an indicator of the
"Goodness of fit" of the regression. Those regressions having unexplained variations
of 15% or less were considered significant and were chosen for graphical plotting.
These are shown in Figs. 24 through 48 (Appendix II).
