Kansas Real-Time Water Quality

Kansas Real-Time Water Quality

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USGS station:	Go to NWISWeb
Constituent:
Time period:
Model Form:

Model Form #2

log₁₀(FCB) = 0.442 + 0.968 log₁₀(TURB) - 0.286 sin(2π D / 365) - 0.339 cos(2π D / 365)

where:

FCB is computed fecal coliform bacteria, in colonies per 100 milliliters
TURB is turbidity, YSI EXO, in formazin nephelometric units
D is day of year, in the range of integers 1 through 365

Model Calibration

Basic Data

Number of measurements:	77
Mean squared error:	0.226576
Multiple R²:	0.658
Bias correction (smearing) factor:	1.78

Explanatory Variables

Variable	Value	Standard error
Intercept	0.442	0.22
log₁₀(TURB)	0.968	0.124
sin(2π D / 365)	-0.286	0.0775
cos(2π D / 365)	-0.339	0.0874

Correlation Matrix

	Intercept	log₁₀(TURB)	sin(2π D / 365)	cos(2π D / 365)
Intercept	1	-0.968	-0.0704	-0.413
log₁₀(TURB)	-0.968	1	0.0918	0.464
sin(2π D / 365)	-0.0704	0.0918	1	0.0755
cos(2π D / 365)	-0.413	0.464	0.0755	1

Reference

Williams, T.J., 2021, Linear Regression Model Documentation and Updates for Computing Water-Quality Constituent Concentrations or Densities using Continuous Real-Time Water-Quality Data for the Kansas River, Kansas, July 2012 through September 2019: U.S. Geological Survey Open-File Report 2021-1018, 18 p.