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 #3

log₁₀(FCBR) = - 0.0872 + 1.28 log₁₀(TURB) - 0.438 sin(2π D / 365) - 0.296 cos(2π D / 365)

where:

FCBR 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:	75
Mean squared error:	0.188356
Multiple R²:	0.806
Bias correction (smearing) factor:	1.6

Explanatory Variables

Variable	Value	Standard error
Intercept	-0.0872	0.193
log₁₀(TURB)	1.28	0.104
sin(2π D / 365)	-0.438	0.0709
cos(2π D / 365)	-0.296	0.0821

Correlation Matrix

	Intercept	log₁₀(TURB)	sin(2π D / 365)	cos(2π D / 365)
Intercept	1	-0.965	-0.0195	-0.436
log₁₀(TURB)	-0.965	1	0.0407	0.485
sin(2π D / 365)	-0.0195	0.0407	1	0.0502
cos(2π D / 365)	-0.436	0.485	0.0502	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.