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Logarithmic, Exponential, Power, and Inverse Regression
• Use the same key operations as linear regression to recall results for
these types of regression.
• The following shows the regression formulas for each type of
regression.
Logarithmic Regression
y = A + B･ln x
Exponential Regression
y = A･ e
B• x
(ln y = ln A + B x )
Power Regression
y = A･ x
B
(ln y = ln A + Bln x )
Inverse Regression
y = A + B･1/ x
Quadratic Regression
• The regression formula for quadratic regression is: y = A + B x + C x
2
.
Example:
Perform quadratic regression to determine the regression formula terms
for the data below
.
x
i
y
i
29 1.6
50 23.5
74 38.0
103 46.4
118 48.0
Next, use the regression formula to estimate the values for yˆ (estimated
value of y ) for x
i
= 16 and xˆ (estimated value of x ) for y
i
= 20.
In the REG Mode:
(Quad)
(CLR) (Scl) (Stat clear)
29 1 6 50 23 5 74 38 0 103 46 4 118
48 0
Regression Coefficient A = -35.59856934
(S-VAR) (A) -35.59856934
40
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