Texas Instruments BA-20 Profit Manager User Manual - Page 95

Regressions, Interest Rate Conversions, Percent Change, Standard deviation with, weighting s

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Standard deviation with n-1 weighting (sx): ∑⎛ ⎝ x⎠⎞ 2 1 ⁄ 2 ∑ x2 n n-1 (∑x) Mean: x n Regressions Formulas apply to all regression models using transformed data. n(∑xy) - (∑y)(∑x) b n(∑x2) - (∑x)2 (∑y - b∑x) a = n r = -b---δ---x δy Interest Rate Conversions EFF = 100 × (eC ⁄ Y × In(x ÷ 1) - 1 ) where: x =.01 Q NOM P CˆY NOM = 100 × C ⁄ Y × (e1 ÷ C ⁄ Y × In (x + 1) - 1 ) where: x =.01 Q EFF Percent Change NEW = OL D ⎛ ⎝ 1 + %---1---C0---0-H---⎠⎞ #P D Appendix - Reference Information 91

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Appendix — Reference Information
91
Standard deviation with
n
-
1 weighting (s
x
):
Mean:
Regressions
Formulas apply to all regression models using transformed data.
Interest Rate Conversions
where:
x
=.01
Q
NOM
P
C
ˆ
Y
where:
x
=.01
Q
EFF
Percent Change
1
2
⁄
x
2
x
∑
⎝
⎠
⎛
⎞
2
n
-------------------
–
∑
n
1
–
----------------------------------------
x
x
)
∑
(
n
--------------
=
b
n
xy
)
∑
(
y
∑
(
)
x
∑
(
)
–
n
x
2
∑
(
)
x
∑
(
)
2
–
--------------------------------------------------------
=
a
y
∑
b
x
∑
–
(
)
n
---------------------------------
=
r
b
δ
x
δ
y
-------
=
EFF
100
e
C
Y
⁄
In
×
x
1
÷
(
)
(
1
)
–
×
=
NOM
100
C
Y
⁄
e
1
C
Y
In
×
⁄
÷
(
x
1
+
(
)
1
)
–
×
×
=
NEW
OLD
1
%
CH
100
-------------
+
⎝
⎠
⎛
⎞
#
PD
=