E-27
u
Logarithmic, Exponential, Power, and Inverse
Regression
• Use the same key operations as linear regression to re-
call results for these types of regression.
• The following shows the regression formulas for each
type of regression.
u
Quadratic Regression
• The regression formula for quadratic regression is:
y
= A + B
x
+ C
x
2
.
•
Example:
Perform quadratic regression to de-
termine the regression formula terms
for the data nearby. Next, use the
regression formula to estimate the
values for
n
(estimated value of
y
) for
x
i
= 16 and
m
(estimated value of
x
)
for
y
i
= 20.
In the REG Mode:
r
3
(Quad)
A
B
1
(Scl)
=
(Stat clear)
29
P
1.6
S
50
P
23.5
S
74
P
38.0
S
103
P
46.4
S
118
P
48.0
S
Regression Coefficient A =
–35.59856934
A
X
r
r
1
=
Regression Coefficient B =
1.495939413
A
X
r
r
2
=
Regression Coefficient C =
– 6.71629667
10
–3
A
X
r
r
3
=
n
when
x
i
is 16 =
–13.38291067
16
A
X
r
r
r
3
=
m
1
when
y
i
is 20 =
47.14556728
20
A
X
r
r
r
1
=
m
2
when
y
i
is 20 =
175.5872105
20
A
X
r
r
r
2
=
Logarithmic Regression
y
A
B
ⴢ
In
x
Exponential Regression
y
A
ⴢ
e
B
·
x
(In
y
In A + B
x
)
Power Regression
y
A
ⴢ
x
B
(In
y
In A + BIn
x
)
Inverse Regression
y
A
B
ⴢ
1
/
x
x
i
y
i
29
1.6
50
23.5
74
38.0
103
46.4
118
48.0
