Casio fx-3650P II - Paired-variable Statistical Calculations: Other Regression Formulas; ab Exponential, Power, and Inverse Regression Formulas

E-38
ab
Exponential Regression
Command Calculation Formula
Regression Formula
Constant Term a
a = exp
( )
n
Σ
lny
i
– lnb
.
Σx
i
Regression Coefficient b
b = exp
( )
n
.
Σx
i
2
–
(
Σx
i
)
2
n
.
Σx
i
ln
y
i
– Σx
i
.
Σ
lny
i
Correlation Coefficient r
r =
{n
.
Σx
i
2
–
(
Σx
i
)
2
}{n
.
Σ
(
ln
y
i
)
2
–
(
Σlny
i
)
2
}
n
.
Σx
i
ln
y
i
– Σx
i
.
Σ
lny
i
Estimated Value
m
m =
lnb
lny – lna
Estimated Value
n
n = ab
x
Power Regression
Command Calculation Formula
Regression Formula
Constant Term a
a = exp
( )
n
Σ
lny
i
– b
.
Σ
lnx
i
Regression Coefficient b
b =
n
.
Σ
(
ln
x
i
)
2
–
(
Σlnx
i
)
2
n
.
Σ
lnx
i
ln
y
i
– Σlnx
i
.
Σ
lny
i
Correlation Coefficient r
r =
{n
.
Σ
(
ln
x
i
)
2
–
(
Σlnx
i
)
2
}{n
.
Σ
(
ln
y
i
)
2
–
(
Σlny
i
)
2
}
n
.
Σ
lnx
i
ln
y
i
– Σlnx
i
.
Σ
lny
i
Estimated Value
m
m = e
b
ln y – ln a
Estimated Value
n
n = ax
b
Inverse Regression
Command Calculation Formula
Regression Formula
Constant Term a
a =
n
Σy
i
– b
.
Σx
i
–1
Regression Coefficient b
b =
Sxx
Sxy