online regression, one-predictor-variable linear regression, x-y regression, Victor Miguel Ponce

onlineregression11: One-predictor-variable linear regression   ⇒   y = f(x)

Formulas

β = [Σ(xy)-(ΣxΣy)/n]/{Σ(x²)-[(Σx)²/n]}
α = [Σy-(βΣx)]/n

Reference

Ponce, V. M. 1989. Engineering Hydrology, Principles and Practices. Prentice Hall, pages 239-241.

Example

INPUT DATA:
Enter array size n:
Enter paired values of arrays y and x (separate each value with a comma; maximum string length is 300 characters).
y:
x:

ECHO OF INPUT:
n =
y(1) = .
x(1) = .

OUTPUT:

α =       β =       standard deviation σ_x =       standard deviation σ_y =
Correlation coeficient r =       standard error of estimate s_e =



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online calc
normal depth critical depth discharge in culvert critical slope normal and critical depth tractive force
M1 wsprofile M2 wsprofile M3 wsprofile S1 wsprofile S2 wsprofile S3 wsprofile
C1 wsprofile H2 wsprofile A2 wsprofile C3 wsprofile H3 wsprofile A3 wsprofile

sequent depth HJ energy loss HJ discharge sluice discharge weir discharge channel initial sequent HJ

critical constriction efficiency HJ ogee spillway Hazen-Williams parallel pipes three reservoirs
Creager rational slope-area linear reservoir storage indication 1 storage indication 2
Muskingum Muskingum-Cunge time-area Clark UH cascade of linear reservoirs
Blaney-Criddle Penman Penman-Monteith reference crop Thornthwaite Priestley-Taylor Penman-Monteith ecosystems
Gumbel Gumbel 2 Log Pearson Log Pearson 2 TR-55 graphical curve number
convolution S-hydrograph time of concentration

UH cascade dimensionless UH cascade general UH cascade series UH cascade all series UH cascade

hyperbolic regression one-predictor linear one-predictor nonlinear two-predictor linear two-predictor nonlinear
fall velocity Lane & Koelzer USLE USLE2 Dendy-Bolton Shields

Duboys Meyer-Peter Modified Einstein Colby 1957 Colby reservoir design life

DO sag DO sag analysis Oxygenation Salinity (EC to TDS)

online calc
normal depth	critical depth	discharge in culvert	critical slope	normal and critical depth	tractive force
M1 wsprofile	M2 wsprofile	M3 wsprofile	S1 wsprofile	S2 wsprofile	S3 wsprofile
C1 wsprofile	H2 wsprofile	A2 wsprofile	C3 wsprofile	H3 wsprofile	A3 wsprofile
sequent depth HJ	energy loss HJ	discharge sluice	discharge weir	discharge channel	initial sequent HJ
critical constriction	efficiency HJ	ogee spillway	Hazen-Williams	parallel pipes	three reservoirs
Creager	rational	slope-area	linear reservoir	storage indication 1	storage indication 2
Muskingum	Muskingum-Cunge	time-area	Clark UH	cascade of linear reservoirs
Blaney-Criddle	Penman	Penman-Monteith reference crop	Thornthwaite	Priestley-Taylor	Penman-Monteith ecosystems
Gumbel	Gumbel 2	Log Pearson	Log Pearson 2	TR-55 graphical	curve number
convolution		S-hydrograph		time of concentration
UH cascade	dimensionless UH cascade		general UH cascade	series UH cascade	all series UH cascade
hyperbolic regression		one-predictor linear	one-predictor nonlinear	two-predictor linear	two-predictor nonlinear
fall velocity	Lane & Koelzer	USLE	USLE2	Dendy-Bolton	Shields
Duboys	Meyer-Peter	Modified Einstein	Colby 1957	Colby	reservoir design life
DO sag	DO sag analysis		Oxygenation	Salinity (EC to TDS)