1-1-1

Advanced Statistics (STAT)

1-1 Advanced Statistics (STAT)

uFunction Menu

The following shows the function menus for the STAT Mode list input screen.

Pressing a function key that corresponds to the added item displays a menu that lets you select one of the functions listed below.

•3(TEST) ... Test (page1-2-1)

•4(INTR) ... Confidence interval (page1-3-1)

•5(DIST) ... Distribution (page1-4-1)

SORT and JUMP functions are located in the TOOL menu (6(g)1(TOOL)).

uCalculation 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.

 

 

1

 

 

n

 

 

• Linear Regression ...

MSE =

 

 

Σ (yi – (axi+ b))2

 

n – 2

 

 

 

 

 

i=1

 

 

 

 

1

 

 

n

 

 

• Quadratic Regression ...

MSE =

 

 

Σ (yi – (axi 2+ bxi+ c))2

 

 

 

 

 

n – 3

 

 

 

 

 

 

i=1

 

 

 

 

1

 

 

n

 

 

 

 

3

2

2

• Cubic Regression ...

 

 

 

 

iΣ=1 (yi – (axi

 

 

MSE = n – 4

 

 

+ bxi + cxi +d ))

 

 

 

 

 

 

 

1

 

 

n

 

 

• Quartic Regression ...

MSE =

 

 

Σ (yi – (axi4+ bxi3 + cxi2 + dxi + e))2

n – 5

 

 

 

 

 

 

i=1

 

 

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