Logarithmic Curve Fit; Power Curve Fit; Standard Error Of The Mean; Mean, Standard Deviation, Standard Error For Grouped Data - HP 12c Platinum Reference Manual


=
A exp


Bx
y = ˆ
Ae

Logarithmic Curve Fit

= +
y A B
∑
y
i
=
B
∑
1
(
∑
=
A
n
= +
ˆ
y A B

Power Curve Fit

B
y = Ax
=
ln y ln A
(
∑
ln
=
B

=
A exp


B
y =
ˆ
Ax

Standard Error of the Mean

S
x
=
S
x
n

Mean, Standard Deviation, Standard Error for Grouped Data

=
mean, x
standard deviation,
standard error ,
∑ ∑

ln y x
i i
−
B

n n

( )
ln x
1
( )(
∑ ∑
−
ln x y ln
i i
n
1
(
( )
2 ∑
−
ln x ln x
i i
n
)
∑
−
y B ln x
i i
( )
ln x
(A>0)
( )
+
B ln x
1
(
)( )
∑
−
x ln y ln
i i
n
1
(
( )
∑ 2 ∑
−
ln x ln
i
n
∑ ∑

ln y ln x
i i
−
B

n n

S
y
=
S
y
n
∑
f x
i i
∑
f
i
∑
=
S
x
S
x
=
S
x
∑
f
i
)
x
i
)
2
)( )
∑
x ln y
i i
)
2
x
i
( )
2 ∑
2
−
f x f x
i i i
∑
−
f 1
i
Appendix B 163