HP 10s Scientific Calculator - Manual (Page 29)

Logarithmic, Exponential, Mathematical Power
and Inverse Regression
Use these regression types in the same way that
you use linear regression (see above).
The corresponding regression formulas ore:
Logarithmic regression y=A+B • Inx
Exponential regression y = A - e “ ' * ( l n y = l n A + B x )
Mathematical Power
Regression
y= A • X ® ( I n y =lnA+B Inx)
Inverse regression y=A+B.;^
x i y i
29 1.6
50 23.5
74 38.0
103 46.4
118 48.0
Quadratic Regression
The regression formula for quadratic regression is
y=k+ix+Cx ^
Example: In this example, we perform quadratic
regression on the given doto to
determine the regression formula and
t h e n u s e t h e f o r m u l a t o c a l c u l a t e y
(the estimated value of y) when xi =
16 and the x value (the estimated
value of x) when yi= 20.
In regression (REG) mode:
H H (Quad)
[sSi]
(Scl) B (Stat clear)
29 Q 1.6[^50Q23.5[^
74 Q 38.0 103 Q 46.4
m
Regression coefficient 118H48.0IM]
A=-35.59856934 H S H H □;] B
Regression coefficient
8=1.495939414
H H H H H B
Regression coefficient
C=-6.71629667X10^" H H H H E B
Estimated value of y=~l 3.38291067 when xi =
1 6 isltl islil m
16
Estimated value of XT- :47.14556728 when y i = 2 0
2 0 H H H H H C O B
28