Casio fx-3650P II - Paired-variable Statistical Calculations: Log;Exp Formulas; Logarithmic and e Exponential Regression Formulas

E-37
Command Calculation Formula
Estimated Value
m
1
m1 =
2c
– b +
b
2
– 4c
(
a – y
)
Estimated Value
m
2
m2 =
2c
– b –
b
2
– 4c
(
a – y
)
Estimated Value
n
n = a + bx + cx
2
Logarithmic Regression
Command Calculation Formula
Regression Formula
Constant Term a
a =
n
Σy
i
– b
.
Σlnx
i
Regression Coefficient b
b =
n
.
Σ
(
ln
x
i
)
2
–
(
Σlnx
i
)
2
n
.
Σ
(
ln
x
i
)y
i
– Σlnx
i
.
Σy
i
Correlation Coefficient r
r =
{n
.
Σ
(
ln
x
i
)
2
–
(
Σlnx
i
)
2
}{n
.
Σy
i
2
–
(
Σy
i
)
2
}
n
.
Σ
(
ln
x
i
)y
i
– Σlnx
i
.
Σy
i
Estimated Value
m
m = e
y – a
b
Estimated Value
n
n = a + bln
x
e
Exponential Regression
Command Calculation Formula
Regression Formula
Constant Term a
a = exp
( )
n
Σ
lny
i
– b
.
Σx
i
Regression Coefficient b
b =
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
=
b
lny – lna
Estimated Value
n
n = ae
bx