1-1-2

Advanced Statistics (STAT)

 

 

1

 

 

n

 

 

• Logarithmic Regression ...

MSE =

 

 

Σ (yi – (a + b ln xi ))2

 

n – 2

 

 

 

 

 

i=1

 

 

 

 

1

 

 

n

 

 

• Exponential Repression ...

MSE =

 

 

Σ (ln yi – (ln a + bxi ))2

 

n – 2

 

 

 

 

 

 

i=1

 

 

 

 

1

 

 

n

 

 

• Power Regression ...

MSE =

 

 

Σ (ln yi

– (ln a + b ln xi ))2

 

n – 2

 

 

 

 

 

 

 

i=1

 

 

 

 

1

 

 

n

 

 

• Sin Regression ...

 

 

 

iΣ=1 (yi – (a sin (bxi + c) + d ))

2

MSE = n – 2

 

 

 

 

 

 

 

 

 

1

 

 

n

2

 

• Logistic Regression ...

MSE =

 

 

Σ yi –

C -bxi

 

n – 2

 

 

 

 

 

 

 

i=1

1 + ae

 

uEstimated Value Calculation for Regression Graphs

The STAT Mode also includes a Y-CAL function that uses regression to calculate the estimated y-value for a particular x-value after graphing a paired-variable statistical regression.

The following is the general procedure for using the Y-CAL function.

1.After drawing a regression graph, press 6(g)2(Y-CAL) to enter the graph selection mode, and then press w.

If there are multiple graphs on the display, use f and c to select the graph you want, and then press w.

• This causes an x-value input dialog box to appear.

2. Input the value you want for x and then press w.

•This causes the coordinates for x and y to appear at the bottom of the display, and moves the pointer to the corresponding point on the graph.

3.Pressing vor a number key at this time causes the x-value input dialog box to reappear so you can perform another estimated value calculation if you want.

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