HP 12C, Руководство пользователя

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262 Appendix E: Formulas Used
File name: HP 12c Pt Converted_user's guide_English_HDP0F123E02_080207 Page: 276 of 281
Printed Date: { 2007/8/2Dimension: 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:
∏
=
=
n
i
i n
1
!