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k Logarithmic Regression Graph
Logarithmic regression expresses y as a logarithmic function of x. The standard logarithmic
regression formula is y = a + b × In x, so if we say that X = In x, the formula corresponds to
linear regression formula y = a + bX.
1(CALC)6(g)2(Log)
6(DRAW)
The following is the logarithmic regression model formula.
y = a + b
•
ln x
a .............
regression constant term
b ............. regression coefficient
r.............. correlation coefficient
r
2
............ coefficient of determination
MSe ........ mean square error
k Exponential Regression Graph
Exponential regression expresses y as a proportion of the exponential function of x. The
standard exponential regression formula is y = a × e
bx
, so if we take the logarithms of both
sides we get In y = In a + bx. Next, if we say Y = In y, and A = In a, the formula corresponds
to linear regression formula Y = A + bx.
1(CALC)6(g)3(Exp)
6(DRAW)
The following is the exponential regression model formula.
y = a
•
e
bx
a ............. regression coefficient
b ............. regression constant term
r.............. correlation coefficient
r
2
............ coefficient of determination
MSe ........ mean square error
6-3-8
Calculating and Graphing Paired-Variable Statistical Data