Statistics; Mean; Weighted Mean; Linear Estimation - HP 12C User Manual

Statistics

Mean

∑
=
x
n
Weighted M ean
∑
=
x
w

Linear Estimation

n = number of data pairs
= +
ˆ
y A
−
y
=
ˆ
x
B
B
where
= −
A y
=
r
⎡
∑
⎢
⎢
⎣

Standard Deviation

=
s
x

Factorial

0! = 1
For n > 1 where n is an integer:
n
∏
=
n !
=
i
File name: hp 12c pt_user's guide_English_HDPMF123E27
Printed Date: 2005/8/1
∑
x y
=
y
n
wx
∑
w
Bx
A
∑ ∑
⋅
x y
∑
−
xy
n
=
( )
∑ 2
x
∑
2 −
x
n
B x
∑ ∑
⋅
⎡ ⎤
x y
∑
−
xy
⎢ ⎥
⎣ n ⎦
( )
⎤ ⎡
∑
2
x
∑
2 − ⋅ 2 −
⎥ ⎢
x y
n
⎥ ⎢
⎦ ⎣
( )
∑ ∑ 2
2 −
n x x
=
s
y
−
n ( n ) 1
i
1
Appendix E: Formulas Used
( )
⎤
∑ 2
y
⎥
n
⎥
⎦
( )
∑ 2 ∑ 2
−
n y y
−
n ( n ) 1
Page: 257 of 275
Dimension: 14.8 cm x 21 cm
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