Multiple linear regression analysis with rudimentary step-wise regression was used to understand the relatioship between stream temperature and the coldwater release (CD) indicated by Newark’s records. Dataset was taken from the Pequannock USGS gauge station from the recent storm on August 23-24, 2021:
##
## Call:
## lm(formula = Aug24$Temp ~ Aug24$Discharge + Aug24$CD, data = Aug24)
##
## Residuals:
## Min 1Q Median 3Q Max
## -2.408 -2.030 -1.284 2.019 6.650
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 14.452833 0.763266 18.936 < 2e-16 ***
## Aug24$Discharge 0.018991 0.002489 7.629 3.4e-12 ***
## Aug24$CD -0.015816 0.029750 -0.532 0.596
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 2.546 on 139 degrees of freedom
## Multiple R-squared: 0.7353, Adjusted R-squared: 0.7315
## F-statistic: 193.1 on 2 and 139 DF, p-value: < 2.2e-16
Stream Temperature = b0 - (0.015816 * Coldwater Release) + (.0018991 * Pequannock CFS)