Casio FX-9750GII-SC User Guide - Page 156

Regression Calculation, Calculation of the Coefficient of Determination r, and MSe

Page 156 highlights

These values can also be directly obtained by displaying the statistical data list and pressing (CALC)(2VAR). After this, pressing D or A scrolls the statistical calculation result display so you can view variable characteristics. For details on the meanings of these statistical values, see "Displaying the Calculation Results of a Drawn Paired-Variable Graph" (page 6-14). I Regression Calculation In the explanations from "Linear Regression Graph" to "Logistic Regression Graph", regression calculation results were displayed after the graph was drawn. Here, each coefficient value of the regression line or regression curve is expressed as a number. You can directly determine the same expression from the data input screen. Pressing (CALC)(REG) displays a function menu, which contains the following items. • {ax+b}/{a+bx}/{Med}/{X^2}/{X^3}/{X^4}/{Log}/{ae^bx}/{ab^x}/{Pwr}/{Sin}/{Lgst} ... {linear regression (ax+b form)}/{linear regression (a+bx form)}/{Med-Med}/{quadratic regression}/{cubic regression}/{quartic regression}/{logarithmic regression}/{exponential regression (aebx form)}/{exponential regression (abx form)}/{power regression}/ {sinusoidal regression}/{logistic regression} parameters Example To display single-variable regression parameters (CALC)(REG)(X)(ax+b) The meanings of the parameters that appear on this screen are the same as those for "Linear Regression Graph" to "Logistic Regression Graph". S Calculation of the Coefficient of Determination (r2) and MSe You can use the STAT mode to calculate the coefficient of determination (r2) for quadratic regression, cubic regression, and quartic regression. The following types of MSe calculations are also available for each type of regression. 6-16

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6-16
These values can also be directly obtained by displaying the
statistical data list and pressing
(CALC)
(2VAR).
After this, pressing
or
scrolls the statistical calculation result display so you can view
variable characteristics.
For details on the meanings of these statistical values, see “Displaying the Calculation Results
of a Drawn Paired-Variable Graph” (page 6-14).
Regression Calculation
In the explanations from “Linear Regression Graph” to “Logistic Regression Graph”, regression
calculation results were displayed after the graph was drawn. Here, each coefficient value of
the regression line or regression curve is expressed as a number.
You can directly determine the same expression from the data input screen.
Pressing
(CALC)
(REG) displays a function menu, which contains the following items.
•{
ax
+
b
}
/
{
a
+
bx
}
/
{
Med
}
/
{
X^2
}
/
{
X^3
}
/
{
X^4
}
/
{
Log
}
/
{
ae
^
bx
}
/
{
ab
^
x
}
/
{
Pwr
}
/
{
Sin
}
/
{
Lgst
} ...
{linear regression (
ax
+
b
form)}/{linear regression (
a
+
bx
form)}/{Med-Med}/{quadratic
regression}/{cubic regression}/{quartic regression}/{logarithmic regression}/{exponential
regression (
ae
bx
form)}/{exponential regression (
ab
x
form)}/{power regression}/
{sinusoidal regression}/{logistic regression} parameters
Example
To display single-variable regression parameters
(CALC)
(REG)
(X)
(
ax
+
b
)
The meanings of the parameters that appear on this screen are the same as those for “Linear
Regression Graph” to “Logistic Regression Graph”.
Calculation of the Coefficient of Determination (r
2
) and MSe
You can use the
STAT
mode to calculate the coefficient of determination (r
2
) for quadratic
regression, cubic regression, and quartic regression. The following types of MSe calculations
are also available for each type of regression.