E-27
uLogarithmic, 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.
uQuadratic Regression
• The regression formula for quadratic regression is:
y = A + Bx + Cx
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
xi = 16 and m (estimated value of x)
for
yi = 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 xi is 16 =
–13.38291067
16 A X r r r 3 =
m1 when yi is 20 =
47.14556728
20 A X r r r 1 =
m2 when yi 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 + Bx)
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
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