Casio ClassPad 101 User's Guide download pdf (Page 138)

Chapter 7: Statistics Application 138

Performing Regression Calculations

You can use the procedures under “Overlaying a Regression Graph on a Scatter Plot” (page 134) to specify a

model formula, and determine and graph the regression formula for paired-variable data. The dialog box that

appears when performing these operations provides the coefficients, constant term, and other values for the

regression formula. You can also copy the regression formula to the Graph Editor window and perform residual

calculation (which calculates the distance between the regression model and an actual plotted point during

regression calculations).

u To view regression calculation results

1. On the [Calc] - [Regression] menu, select one of the regression calculation

commands (from [Linear Reg] to [Logistic Reg]).

• For information about regression calculation characteristics, see

“Regression graphs” (page 133).

2. On the dialog box that appears, specify the [XList] and [YList] names, and

select the [Freq] setting.

Model formula

3. Tap [OK].

• This displays the dialog box with the regression calculation results described below.

a, b, c, d, e : coefficients of the model formula (shown at the top of the dialog box) corresponding to the

regression calculation

r : correlation coefficient (linear regression, logarithmic regression, exponential regression, and

power regression only)

: coefficient of determination (except for Med-Med, sinusoidal regression, and logistic regression)

MSe : mean square error (except for Med-Med)

MSe Formulas

Depending on the regression calculation type, mean square error (MSe) is obtained using the following

formulas.

Linear:

y = aⴢx+b: ;

Quadratic:

Quartic:

Exponential:

aⴢe

ⴢ

: ;

Power:

Sinusoidal:

y = a + bⴢx:

Cubic:

Logarithmic:

aⴢb

Logistic:

u To copy a regression formula to the Graph & Table application

1. Perform steps 1 and 2 under “To view regression calculation results” (page 138).

2. On the dialog box that appears, tap the [Copy Formula] down arrow button, and then select the Graph &

Table line number (y1 through y20) to which you want to copy the formula.

3. Tap [OK].

• This copies the calculated regression expression to the line (

y1 through y20) you selected.

n – 2

i=1

(yi – (axi + b))

n – 3

i=1

(yi – (axi

+ bxi + c))

n – 5

i=1

(yi – (axi

+ bxi

+ cxi

+ dxi

+ e))

n – 2

i=1

(ln yi – (ln a + bxi ))

n – 2

i=1

(ln yi – (ln a + b ln xi))

n – 2

i=1

(yi – (a·sin (bxi + c) + d ))

n – 2

i=1

(yi – (a + bxi))

n – 4

i=1

(yi – (axi

+ bxi

+ cxi + d ))

n – 2

i=1

(yi – (a + b ln xi))

n – 2

i=1

(ln yi – (ln a + (ln b)ⴢ xi))

n – 2 1 + ae

–bx

i=1

yi –

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Casio ClassPad 101 User's Guide Page 138

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