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

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262 Appendix E: Formulas Used

Statistics

Mean

x
x
y
=
=
n

Weighted Mean

wx
x
=
w
w

Linear Estimation

n = number of data pairs
ˆ
y
A
Bx
=
+
y
A
ˆ
x
=
B
xy
B
=
where
x
A
y
B
x
=
r
=
(
2
x

Standard Deviation

2
n
x
s
=
x
n
(
n

Factorial

0! = 1
For n > 1 where n is an integer:
n
n
!
i
=
i
1
=
y
n
x
y
n
(
)
2
x
2
n
x
y
xy
n
(
)
2
x
2
y
n
(
)
2
x
n
s
=
y
) 1
)
2
y
n
(
)
2
2
y
y
n
(
n
) 1

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