HP 300s+ Scientific manual Comments for Other Typed of Regression, Logarithm Regression

Comments for Other Typed of Regression

For details about the calculation formula of the command included in each regression type, refer to the indicated calculation formulas.

For example:

Logarithm Regression (In X)

y= A + BInX

A =		∑y – B • ∑ ln x
		--------------------------------------
			n
B =		n • ∑( lnx)y – ∑ lnx • ∑y
			n • ∑( lnx)	2 – (∑ ln x)--		2----
		-----------------------------------------------------------
r	=		n • ∑( lnx)y – ∑ ln x • ∑y
		⎧---------------------------------------------------------------				⎫⎧--------------------------------------------------		⎫-
		⎨n • ∑( lnx)			⎬⎨n • ∑y		⎬
		⎩				⎭⎩		⎭
			y – A
ˆ			-----------
	=	e	B
x
y	= A + Blnx
ˆ

eExponential Regression (e^ X) y = AeBx

A =		exp		∑-------ln-----y-----–----B-----•----∑-------x-
						n
B =		n • ∑x ln y –					∑x • ∑ ln y
		------------------------------------------------------------
				n • ∑x2			– (∑x)2
r	=					n • ∑x lny – ∑x • ∑ lny
		⎧-----------------------------------------------						⎫⎧------------------------------------------------------------------	⎫-
		⎨n			⎬⎨n • ∑( lny)		⎬
		⎩						⎭⎩	⎭
ˆ	=	lny – lnA
x		-------	----B------------
ˆ		Ae	Bx
y =

ab Exponential Regression (A⋅B^X)

y= ABX

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