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Atmospheric Pressure at 5°C = 994.6
5 (S-VAR) ( yˆ)
994.6
Temperature at 1000 hPa = 4.642857143
1000 (S-VAR) ( xˆ)
4.642857143
Coefficient of Determination = 0.965517241
(S-VAR) (r) 0.965517241
Sample Covariance = 35
(S-SUM) (Σxy)
(S-SUM) ( n )
(S-VAR) ( x
-
)
(S-VAR) ( y
-
)
(S-SUM) ( n ) 1
35.
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
49
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