HP (Hewlett-Packard) 12C ユーザーズマニュアル
Appendix E: Formulas Used 257
File name: hp 12c pt_user's guide_English_HDPMF123E27 Page: 257 of 275
Printed Date: 2005/8/1
Printed Date: 2005/8/1
Dimension: 14.8 cm x 21 cm
Statistics
Mean
n
x
x
∑
=
n
y
y
∑
=
Weighted Mean
∑
∑
=
w
wx
x
w
Linear Estimation
n = number of data pairs
Bx
A
y
+
=
ˆ
B
A
y
x
−
=
ˆ
where
(
)
n
x
x
n
y
x
xy
B
2
2
∑
∑
∑ ∑
∑
−
⋅
−
=
x
B
y
A
−
=
(
)
( )
⎥
⎥
⎦
⎤
⎢
⎢
⎣
⎡
−
⋅
⎥
⎥
⎦
⎤
⎢
⎢
⎣
⎡
−
⎥⎦
⎤
⎢⎣
⎡
⋅
−
=
∑
∑
∑
∑
∑
∑
∑
n
y
y
n
x
x
n
y
x
xy
r
2
2
2
2
Standard Deviation
(
)
)
1
(
2
2
−
−
=
∑
∑
n
n
x
x
n
s
x
( )
)
1
(
2
2
−
−
=
∑
∑
n
n
y
y
n
s
y
Factorial
0! = 1
For n > 1 where n is an integer:
For n > 1 where n is an integer:
∏
=
=
n
i
i
n
1
!