HP 10s User 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 are:
Logarithmic regression] y=A+B - Inx
Exponential regression} y=A + ¢ s *(Iny=InA+B x)
Mathematical Power
ik ge B 7
Regression
y=A+
x
(Iny =InA+B Inx)
Inverse regression =A+B +f erse regressio y he
@ Quadratic Regression
@ The regression formula for quadratic regression is
y=AtBx+Cx ?
@ Example: In this example, we perform quadratic
yi] regression on the given data to
29 11.6| determine the regression formula and
50 123.5| then use the formula to calculate ¥
74 [38.0] (the estimated value of y) when xi =
103[46.4| 16 and the X value (the estimated
118[48.0| value of x) when yi= 20.
In regression (REG) mode:
(>) [3] (Quad)
(Scl) EE (Stat clear)
29 (2) 1.6 (pt) 50 ( + J 23.5 [bt]
74 (+ ] 38.0 (bt) 103 (+ ] 46.4 [DT]
Regression coefficient 118 (+ j 48.0 [br
A=—35.59856934 (sui) (S4an) [>] (>) (1 |
Regression coefficient faye ge eee
B=1.495939414 SHAT] (S48) [> = |
Regression coefficient ee
C=—6.71629667X10° (shir) (s¥an) >] (>) C3 | Ey
Estimated value of Y=—13.38291067 when xi= 16
16 (SHIFT) (Svar) (> ] (&) (>) 3) El
Estimated value of x1=47.14556728 when yi = 20
20 (SHIFT) (Svar) (>) () (&) 7)
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