數(shù)學(xué)建模統(tǒng)計(jì)回歸模型

1、&有時(shí)射低大學(xué)課程實(shí)驗(yàn)報(bào)告專(zhuān)業(yè)年級(jí)課程名稱(chēng)指導(dǎo)教師學(xué)生姓名學(xué)號(hào)實(shí)驗(yàn)日期實(shí)驗(yàn)地點(diǎn)實(shí)驗(yàn)成績(jī)教務(wù)處制2016年4月21日實(shí)驗(yàn)項(xiàng)目名稱(chēng)統(tǒng)計(jì)回歸模型實(shí)驗(yàn)?zāi)康募耙竽康模和ㄟ^(guò)對(duì)數(shù)據(jù)的統(tǒng)計(jì)分析，找出與數(shù)據(jù)擬合最好的模型。實(shí)驗(yàn)內(nèi)容根據(jù)所給數(shù)據(jù)建立一個(gè)數(shù)學(xué)模型，分析香皂銷(xiāo)售量與其他因素的關(guān)系，為制定價(jià)格策略和廣告投入策略提供數(shù)量依據(jù)。實(shí)驗(yàn)步驟建立M文件如下：clccleary=7,388.519.527.509.338.288.757.877.108.007.898.159.108.868.908.879.269.008.757.957.657.278.008.508.759.218.277.677.9

2、39.26;y=y'x1=-0.050.250.6000.250.200.150.05-0.150.150.200.100.400.450.350.300.500.500.40-0.05-0.05-0.010.200.100.500.60-0.0500.050.55;x1=x1'x2=5.506.757.255.507.006.506.755.255.256.006.506.257.006.906.806.807.107.006.806.506.256.006.507.006.806.806.505.755.806.80;x2=x2'x3=3.504.004.303.7

3、03.853.803.753.853.654.004.104.004.104.204.104.104.204.304.103.753.753.653.903.654.104.253.653.753.854.25;x3=x3'x4=3.853.753.703.703.603.603.603.803.803.853.903.903.703.753.753.803.703.803.703.803.803.753.703.553.603.653.703.753.803.70;x4=x4'plot(x1,y,'o')plot(x2,y,'o')T=ones

4、(30,1)x2x3x3.A2x4.A2b,bint,r,rint,stats=regress(y,T,0.05)實(shí)驗(yàn)環(huán)境Matlab7.1.實(shí)驗(yàn)結(jié)果與分析y對(duì)x1的散點(diǎn)圖109.598.587.57-0從上的直線可擬合（其y對(duì)x2即109.598.587.57511II111QQOO0oooL（；：oO1rq00oooQ111Illi-12-0.100.10.20.30.40.50.6圖可知，隨著x1的增加，y的值有比較明顯的線性增長(zhǎng)趨勢(shì)，圖中以用線性模型y=久+的+名中e是隨機(jī)誤差項(xiàng)）。J散點(diǎn)圖11-1clor0QOO工：,J'0u''1100，I-!.lull55

5、.566.577.5從上圖可知，當(dāng)x2的增加，y有向上彎曲增加的趨勢(shì)，圖中的曲線是用二次函數(shù)模型y=B0巾2-黃；擬合的。綜上所述，建立如下的回歸模型：y=BO、xi2X2.武；回歸結(jié)果為：b=18,08701.2622-3.96160.3715bint=6.187729.98640.61021.9142-7.8613-0.06180.05310.6899r=-0.0926-0.0775-0.1289-0.03570.4559-0.00430.28870.2792-0.23840.1198-0.39430.18560.0366-0.14630.13270.1658-0.0573-0.1896-

6、0.0805-0.0187-0.1251-0.4083-0.2843-0.1848-0.20670.12710.30130.07990.26040.2402rint=-0.53460.3495-0.54320.3882-0.53190.2742-0.47860.4072-0.05410.8577-0.46620.4577-0.15420.7316-0.09320.6516-0.61070.1340-0.32530.5648-0.82690.0383-0.26440.6357-0.42080.4939-0.60370.3110-0.33080.5961-0.29650.6280-0.50110.3866-0.63780.2585-0.54290.3820-0.45610.4186-0.56950.3194-0.83150.0149-0.73120.1626-0.58230.2128-0.64880.2355-0.29590.5501-0.11830.7208-0.37460.5345-0.18120.7020-0.18820.6686s