Casio fx-50F PLUS - Manual (Page 50)

E-49
Command Calculation Formula
Estimated Value m
m
=
ln b
lny – ln a
Estimated Value n
n =
ab
x
Power Regression
Command Calculation Formula
Regression Formula
Constant Term a
a = exp
( )
n
Σ
ln y
i
– b
.Σ
ln x
i
Regression Coeffi cient b b =
n.
Σ
(ln x
i
) 2 – (
Σ
ln x
i
) 2
n.
Σ
ln x
i
ln
y
i
–
Σ
ln x
i
.Σ
ln y
i
Correlation Coeffi cient r
r =
{ n.
Σ
(ln x
i
) 2 – (
Σ
ln x
i
) 2 }{ n.
Σ
(ln y
i
) 2 – (
Σ
ln y
i
) 2 }
n.
Σ
ln x
i
ln
y
i
–
Σ
ln x
i
.Σ
ln y
i
Estimated Value m
m
= e b
ln y – ln a
Estimated Value n n =
a x b
Inverse Regression
Command Calculation Formula
Regression Formula
Constant Term a
a =
n
Σy
i
– b
.Σx
i
–1
Regression Coeffi cient b b =
Sxx
Sxy
Correlation Coeffi cient r
r =
Sxx.Syy
Sxy
However,
Sxx =
Σ
( x
i
–1 ) 2 –
Syy =
Σy
i
2 –
Sxy =
Σ
( x
i
–1 ) y
i
–
n
(
Σx
i
–1 ) 2
n
Σx
i
–1
.Σy
i
n
(
Σy
i
) 2
Sxx =
Σ
( x
i
–1 ) 2 –
Syy =
Σy
i
2 –
Sxy =
Σ
( x
i
–1 ) y
i
–
n
(
Σx
i
–1 ) 2
n
Σx
i
–1
.Σy
i
n
(
Σy
i
) 2