User`s guide

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