HP 12c Platinum - Logarithmic Curve Fit; Power Curve Fit; Standard Error of the Mean; Mean, Standard Deviation, Standard Error for Grouped Data

Appendix B 163






−=
∑∑
n
x
B
n
y
A
ii
ln
exp
Bx
Aey =
ˆ
Logarithmic Curve Fit
(
) xBAy ln+=
()( )
()
()
∑∑
∑∑∑
−
−
=
2
2
ln
1
ln
ln
1
ln
ii
iiii
x
n
x
xy
n
xy
B
()
∑∑
−=
ii
xBy
n
A ln
1
(
) xBAy ln
ˆ
+=
Power Curve Fit
y = Ax
B
(A>0)
(
) xBAy lnlnln
+
=
()() ()()
()
()
∑∑
∑∑∑
−
−
=
2
2
ln
1
ln
ln ln
1
ln ln
ii
iiii
x
n
x
yx
n
yx
B






−=
∑∑
n
x
B
n
y
A
ii
lnln
exp
B
Axy =
ˆ
Standard Error of the Mean
n
S
S
x
x
=
n
S
S
y
y
=
Mean, Standard Deviation, Standard Error for Grouped Data
mean,
∑
∑
=
i
ii
f
xf
x
standard deviation,
()
1
2
2
−
−
=
∑
∑∑
i
iii
x
f
xfxf
S
standard error,
∑
=
i
x
x
f
S
S