Drawing a power regression graph – Casio 330 User Manual

Page 418

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20060301

Drawing a Power Regression Graph (

y

=

a

·

x

b

)

Power regression can be used when

y

is proportional to the power of

x

. The normal power

regression formula is

y

=

a

·

x

b

. If we obtain the logarithms of both sides, we get ln(

y

) = ln(

a

)

+

b

· ln(

x

). Next, if we say that X = ln(

x

), Y = ln(

y

), and A = ln(

a

), the formula corresponds to

the linear regression formula Y = A +

X.

S ClassPad Operation

Start the graphing operation from the Statistics application’s Graph window or List window.

From the Graph window

Tap [Calc] [Power Reg] [OK] [OK] .

From the List window

Tap [SetGraph][Setting...], or '.

On the Set StatGraphs dialog box that appears, configure a StatGraph setup with the
setting shown below, and then tap [Set].

Type:

PowerR

Tap

x to draw the graph.

7-5-12

Graphing Paired-Variable Statistical Data

The following is the power regression model formula.

y

=

a

·

x

b

a

: regression

coefficient

b

: regression

power

r

: correlation

coefficient

r

2

:

coefficient of determination

MSe

: mean square error

• MSe

=



1

n

– 2

i

=1

n

(ln (y

i

) – (ln (a) + ln (x

i

)))

2

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