matlab 统计工具箱 在数学建模中的应用
DESCRIPTION
MATLAB 统计工具箱 在数学建模中的应用. 确定性模型. 随机性模型. 确定性模型和随机性模型. 随机因素可以忽略. 随机因素影响可以简单地以平均值的作用出现. 随机因素影响必须考虑. 概率模型. 回归模型. 马氏链模型. 概率模型. 例 : 报童的利润. 报童早上购进报纸零售,晚上将未卖掉的报纸退回。. 零售价 a (=1 元 ). 购进价 b (=0.8 元 ). 退回价 c (=0.75 元 ). 售出一份赚 a-b. 退回一份赔 b-c. 162 天报纸需求量的调查. - PowerPoint PPT PresentationTRANSCRIPT
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MATLAB
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: 162 b(=0.8)a (=1)c(=0.75) a-b b-c 136 214 195 219 224 197 213 187 187 230 172 227 157 114 156
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= 162
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n G(n) n G(n) a-b b-c
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r
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a-b ~ b-c ~
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MATLAB ()
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MATLAB ()y=normpdf(1.5,1,2) x=1.5 (=1, =2) y=fcdf(1,10, 50) Fx= 1 (n1=10, n2=50)y =tinv(0.9,10) =0.9t (, n=10)
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MATLAB p(x)baotongdata.mbaotong1.m
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1: = kg/m : 01
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yx1x2x3 0, 1, 2, 3 ,
- MATLAB () b=regress(y,X) [b,bint,r,rint,s]=regress(y,X,alpha): y~(), X~1Alpha~0.05s: 3R2F, F(1,n-2)Fpp
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(210)xueya01.m
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2 ~ ~ 1=0=~ 1=2=3=
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y~ x1 ~x2 = 1~ x2 = 0~ 1=2=3= a0, a1, , a4
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R2,F, p 1546 6883 2994 148 a4!xinjindata.m xinjin.m
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3 6 x2x3, x4
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x2x3, x4R2,F (33)
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R2 0.957 0.999 0.9998F 226 554 36701 xinjindata2.m xinjin1.m
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6(0x3=1, x4=0 x3=0, x4=1 x3=0, x4=0 x1= 0 x2 = 1~ x2 = 0~
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3 yx1x2, 10 yx1x2; 160170.
x1 ()120140190130155175125145180150x2 ()10011090150210150250270300250y ()10210012077469326696585
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(x1,y),(x2,y)10yx2yx1y=f(x1,x2)3
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[b,bint,r,rint,stats]=regress(Y,X,alpha)3 =0.05 =0.01 R2 1
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MATLAB ()rstool (x,y, 'model',alpha)x~nm, n, y~nalpha~model~4: (m=2)
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3 x1=[]; x2=[]; x=[x1' x2']; y=[]';rstool(x,y, 'quadratic')Export~beta--rmse--sresiduals--()Shangpin.m
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rmse 4Model: linear purequadratic interaction quadratic rmse: 18.7362 16.6436 19.1626 18.6064 =-312.5871 7.2701 -1.7337 -0.0228 0.00373
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MATLAB () stepwise (x,y,inmodel,penter,premove) x~nk n, k; y~n; Inmodel~x; penter~0.05; premove~0.10
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3 x=[x1;x2;x1.*x2;x1.^2;x2.^2]';stepwise(x,y')Shangpin.m
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MATLAB ()x~y~ model~my =f(b,x), b b0~ b~R~J~Jacobi