AiHua Computer Studio

　DRS application example No. 1(one variant)

There are 19 groups of two dimensions data, as the chart shows.
Sequence number	1	2	3	4	5	6	7	8	9	10
Variant(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
Sequence number	11	12	13	14	15	16	17	18	19
Variant(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

　　Regress formula

Y = a₀ + a₁ X₁^k1 + a₂ X₁^k2

Formula middle: Y - is objective function. X₁- is variant.

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

result				test parameter the
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 imitative chart of the 19-group data

　Model chart of three dimension nonlinear data

　Move chart of four dimension nonlinear data model