Casio fx-50F PLUS - Manual (Page 49)

E-48
Logarithmic Regression
Command Calculation Formula
Regression Formula
Constant Term a
a =
n
Σy
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
) y
i
–
Σ
ln x
i
.Σy
i
Correlation Coeffi cient r
r =
{ n.
Σ
(ln x
i
) 2 – (
Σ
ln x
i
) 2 }{ n.
Σy
i
2 – (
Σy
i
) 2 }
n.
Σ
(ln x
i
) y
i
–
Σ
ln x
i
.Σy
i
Estimated Value m m = e
y – a
b
Estimated Value n
n = a + b lnx
e Exponential Regression
Command Calculation Formula
Regression Formula
Constant Term a
a = exp
( )
n
Σ
ln y
i
– b
.Σx
i
Regression Coeffi cient b b =
n.
Σx
i
2 – (
Σx
i
) 2
n.
Σx
i
ln
y
i
–
Σx
i
.Σ
ln y
i
Correlation Coeffi cient r
r =
{ n.
Σx
i
2 – (
Σx
i
) 2 }{ n.
Σ
(ln y
i
) 2 – (
Σ
ln y
i
) 2 }
n.
Σx
i
ln
y
i
–
Σx
i
.Σ
ln y
i
Estimated Value m
m
=
b
lny – ln a
Estimated Value n n =
a
e b x
ab Exponential Regression
Command Calculation Formula
Regression Formula
Constant Term a
a = exp
( )
n
Σ
ln y
i
– ln b
.Σx
i
Regression Coeffi cient b b = exp
( )
n.
Σx
i
2 – (
Σx
i
) 2
n.
Σx
i
ln
y
i
–
Σx
i
.Σ
ln y
i
Correlation Coeffi cient r
r =
{ n.
Σx
i
2 – (
Σx
i
) 2 }{ n.
Σ
(ln y
i
) 2 – (
Σ
ln y
i
) 2 }
n.
Σx
i
ln
y
i
–
Σx
i
.Σ
ln y
i