HP 12C - Power Curve Fit

160
•
•
• = A + B (ln x)
Power Curve Fit
• y = Ax
B
(A>0)
•ln y = ln A + Bln x
•
•
• = Ax
B
Standard Error of the Mean
•
Mean, Standard Deviation, Standard Error for Grouped Data
B
Σ y
i
x
i
ln
1
n
--- Σ x
i
Σ y
i
lnln–
Σ x
i
ln()
2
1
n
--- Σ xln()
2
–
--------------------------------------------------------=
A
1
n
---
Σ y
i
B Σ x
i
ln–()=
B
Σ x
i
ln() Σ y
i
ln()
n
-------------------------------------
Σ x
i
ln()
2
Σ x
i
ln()
2
n
---------------------
–
-------------------------------------------------=
A
Σ y
i
ln
n
------------- B
Σ x
i
ln
n
-------------–exp=
S
X
S
X
n
--------=
S
y
S
y
n
-------=