K logarithmic regression graph, K exponential regression graph – Casio SERIES FX-9860G User Manual
Page 297
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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
+
b
X.
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 coeffi cient
r
............... correlation coeffi cient
r
2
.............coeffi cient 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 coeffi cient
b
...............regression constant term
r
...............correlation coeffi cient
r
2
.............coeffi cient of determination
MSe
........mean square error
6-3-8
Calculating and Graphing Paired-Variable Statistical Data