Exponential Regression - Casio fx-3650P II User Manual

Command
Estimated Value m
Estimated Value m
Estimated Value n
Logarithmic Regression
Command
Regression Formula
Constant Term a
Regression Coefficient b
Correlation Coefficient r
Estimated Value m
Estimated Value n
e

Exponential Regression

Command
Regression Formula
Constant Term a
Regression Coefficient b
Correlation Coefficient r
Estimated Value m
Estimated Value n
m
1
1
m
2
2
n = a + bx + cx
a
b =
r
=
m = e
n =
a = exp
b =
r
=
m
n =
Calculation Formula
2
– b + b – 4c
=
2c
2
– b – b – 4c
=
2c
2
Calculation Formula
– b . Σ
Σy
x
ln
i i
=
n
n . Σ
– Σ
y
x
( ln i )
ln
i
n . Σ Σ
x 2 –
( ln i ) (
n . Σ
x
( ln i )
n . Σ
Σ
x 2 –
( ln i ) (
{
y – a
b
+
lnx
a b
Calculation Formula
. Σx
Σ
(
y –
b
ln
i
n
n . Σx – Σx
y
ln
i i
n . Σx
Σx
2
– (
i
n . Σx
n . Σx Σx
2 –
(
{
i
lny – ln
a
=
b
x
b
e
a
E-37
a – y
( )
a – y
( )
. Σy
x
i i
x 2
i )
ln
– Σ . Σy
y
x
ln
i i i
n . Σy
Σy
x 2 2 –
i ) (
ln }{
i
)
i
. Σ
y
ln
i i
2
)
i
– Σx . Σ
y
y
ln ln
i i i i
n . Σ
2 y 2 –
) ( ln )
}{
i i
2
i )
}
Σ
y 2
( )
ln }
i