K power regression graph, K sinusoidal regression graph – Casio SERIES FX-9860G User Manual
Page 298

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k Power Regression Graph
Power regression expresses
y
as a proportion of the power of
x
. The standard power
regression formula is
y
=
a
×
x
b
, so if we take the logarithm of both sides we get In
y
=
In
a
+
b
× In
x
. Next, if we say X = In
x
, Y = In
y
, and A = In
a
, the formula corresponds to
linear regression formula Y = A +
b
X.
1 (CALC)6 (g )4 (Pwr)
6 (DRAW)
The following is the power regression model formula.
y
=
a
·
x
b
a
...............regression coeffi cient
b
...............regression power
r
...............correlation coeffi cient
r
2
.............coeffi cient of determination
MSe
........mean square error
k Sinusoidal Regression Graph
Sinusoidal regression is best applied for cyclical data.
The following is the sinusoidal regression model formula.
y
=
a
·sin(
bx
+
c
) +
d
While the statistical data list is on the display, perform the following key operation.
1 (CALC)6 (g )5 (Sin)
6 (DRAW)
Make sure that the angle unit setting of the calculator is Rad (radians) when drawing a
sinusoidal regression graph. The sinusoidal regression calculation is performed using
radians, so the graph will cannot be drawn correctly if the angle unit setting is something
else.
• Certain types of data may take a long time to calculate. This does not indicate malfunction.
6-3-9
Calculating and Graphing Paired-Variable Statistical Data