Examples of  two-dimensional data application

There are 19 groups of two dimensions data, as the chart shows.

Serial number

1

2

3

4

5

6

7

8

9

10

Variable(x1)

5

10

15

20

25

30

35

40

45

50

Objective function(y)

3.3

6.5

9.2

11.9

14.5

17.0

19.4

21.7

23.9

25.9

Serial number

11

12

13

14

15

16

17

18

19

 

Variable(x1)

55

60

65

70

75

80

85

90

95

 

Objective function(y)

27.6

29.2

30.0

30.3

30.0

29.2

26.0

21.0

12.0

 

 

Regression models of DRS software

y = a0 + a1 x1k1 + a2 x1k2

 

Formula in:     y   -  is objective function

      x -  is  variable

 

Get the coefficient through the use of “DRS”, and get coefficient, power and test parameter as follows

Result

Verification Parameters

a0 = -.661582500004011

Correlation coefficient(R):0.999614113978291

a1 = 1.08247715469953

Statistical variable(F):10359.2733755249

a2 = -5.30251329687443E-13

Residue standard deviation(S):0.25668560536189

k1 = .82 

Biggest error:0.1110527357773081982509

k2 = 6.969999999999

Equal error:6.850973E-02

 

Equal relating error:0.0115132767485429297150007794

 

The  chart 1-1 of  regression model

 

Three-dimensional (surface data) regression model to draw a three-dimensional surface chart

 Chart 2-1

 Chart 2-2

 Chart 2-3

 Chart 2-4

Four-dimensional(dynamic)  regression model to draw a three-dimensional surface chart

 Chart 3-1