5 Inverse Regression
u Regression coefficient A
Σy
–
A =
u Correlation coefficient
Sxy
r
=
Sxx . Syy
Σ
Sxx
x
=
(
Σ
Sxy
x
=
(
6 Quadratic Regression
u Regression coefficient A
Σy
A =
– B
n
u Regression coefficient B
xy .
B = (S
u Regression coefficient C
y .
C
x
2
= S
Σx
Sxx
=
Σx
Sxx
2
=
Σx
2
Sx
y
=
B . Σx
–1
n
r
Σx
–1
2
(
)
, Syy
–1
2
)
–
n
. Σy
Σx
–1
–1
y
)
–
n
Σx
Σx
( )
( )
– C
n
n
y .
x
2
x
2
x
2
xx
S
– S
S
xy .
xx
xx
S
– S
S
Σx
2
(
)
2
Sxy
–
,
=
n
Σx . Σx
2
(
)
3
Sx
–
,
n
. Σy
Σx
2
(
)
2
y
–
n
1
y
x
= A + B
/
u Regression coefficient B
Sxy
B =
Sxx
Σy
(
Σy
2
=
–
n
y
x
= A + B
+ C
2
) ÷ {S
xx .
2
x
2
S
2
Σx . Σy
(
Σxy
–
n
Σx
(
Σx
2
x
2
4
=
–
E-33
2
)
2
x
x
2
xx
2
2
– (S
)
}
)
2
2
)
n