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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