Exponential Regression - Casio fx-50F User Manual

Logarithmic Regression
Command
Regression Formula
Constant Term a
Regression Coeffi cient b
Correlation Coeffi cient r
Estimated Value
Estimated Value
e

Exponential Regression

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