• Linear Regression (ax + b).............

MSe =

(a + bx).............

MSe =

• Quadratic Regression.....................

MSe =

• Cubic Regression ...........................

MSe =

• Quartic Regression ........................

MSe =

• Logarithmic Regression..................

MSe =

• Exponential Repression (a·ebx) .......

MSe =

(a·bx)........

MSe =

• Power Regression ..........................

MSe =

• Sin Regression ...............................

MSe =

• Logistic Regression ........................

MSe =

1

n – 2

1

n – 2

1

n – 3

1

n – 4

1

n – 5

1

n – 2

1

n – 2

1

n – 2

1

n – 2

1

n – 2

1

n – 2

n

(yi – (axi + b))2

i=1

n

(yi – (a + bxi))2

i=1

n

(yi – (axi 2 + bxi + c))2

i=1

n

(yi – (axi3+ bxi2+ cxi + d ))2

i=1

n

(yi – (axi4+ bxi3 + cxi2 + dxi + e))2

i=1

n

(yi – (a + b ln xi ))2

i=1

n

(ln yi – (ln a + bxi ))2

i=1

n

(ln yi – (ln a + (ln b) · xi ))2

i=1

n

(lnyi – (ln a + b lnxi ))2

i=1

n

(yi – (a sin (bxi + c) + d ))2

i=1

n

C

2

 yi

 

 

1 + ae

bxi

 

i=1

 

 

SEstimated 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

(G-SLV)(Y-CAL) to enter the graph

selection mode, and then press U.

 

If there are multiple graphs on the display, use D and A to select the graph you want, and then press U.

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

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

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.

6-17