Drawing a power regression graph – Casio ClassPad 300 User Manual

Page 347

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20021201

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.

u 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 G.

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

Type: PowerR

Tap

y 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

=

Σ

1

n

– 2

i

=1

n

(ln (y

i

) – (ln (a) + ln (x

i

)))

2

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