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1、成都信息工程学院数据分析实验报告专业位息与计算科学班级1班姓名—学号实验日期2014年5月14R星期三成绩评定题目1991年我国30个省、区、市城镇居民月〒均消费八个指标（单位均为元/人）芩:人均粮食支岀X2:人均副食支出人均烟茶支川X4：人均其他副食支!liX5:人均衣着商品支出X6：人均L1用品支出X，惹怒就燃料支出X8：人均非商品支出1991年我国30个省、区、市城镇居民均消费数据省区市X2^3^4AX、A山西8.3523.537.518.6217.4210.001.0411.21內蒙古9.2523.756.619.1917.7710.481.72
2、10.51吉林8.1930.504.729.7816.287.602.5210.32黑龙江7.7329.205.429.4319.298.492.5210.00河南9.4227.938.208.1416.179.421.559.76甘爾9.1627.989.019.3215.999.101.8211.35青海10.0628.6410.5210.0516.188.391.9610.81河北9.0928.127.409.6217.2611.122.4912.56陕西9.4128.206.7710.8016.3611.561.5312.17宁夏8.7028.1
3、27.2110.5319.4513.301.6611.96新疆6.9329.854.549.4916.6210.651.8813.61湖北8.6736.057.317.7516.6711.682.8312.88云南9.9837.697.018.9416.1511.080.8311.67湖南6.7738.696.018.8214.7911.441.7413.23安徽8.1437.759.618.4913.159.761.2811.28贵州7.6735.718.048.3115.139.761.2811.28辽宁7.9039.778.4912.9419.27
4、11.052.0413.29四川7.1840.917.328.9417.6012.751.1414.08山东8.8233.707.5910.9818.8214.731.7810.10江西6.2535.024.726.2810.037.151.9310.39福建10.6052.417.709.9812.5311.702.3114.69广西7.2752.653.849.1613.0315.261.9814.57海南13.44555.855.507.459.559.522.2116.30天津10.8544.687.3214.5117.1312.081.2611
5、.57江苏7.2145.797.6610.3616.5612.862.2511.69浙江7.6850.3711.3513.3()19.2514.592.7514.87北京7.7848.448.0020.5122.1215.731.1516.61西藏7.9439.6520.9720.8222.5212.411.757.90上海8.2864.348.0022.2220.0615.120.7222.89广东12.4776.395.5211.2414.5222.005.4625.50模型根据后而的计算结果讨知，各变量的样本方差差异不大，故从样本协方差矩阵S出发做
6、主成分分析：-(Sjk)8x830-lt…，30其中3()x=(%i,X2,---,%8),xj=—2^,7=b2,---,830/=13030-1：^(%..-xy)(x^-X,./•，々=1,2•••,8设协方差矩阵S的特征值为2,>^2相应的:d•:交单位化特征向量为epe2，…，,其屮q=（么，么2,…，〜乂（k=l，2，....8），则第k个样木主成分nJ丧示为：八=e[x=ek}x,+ek2x2+•••+ekiix8，々=1，2•••8其屮表示％=（；^，％2,…，X8广观测值，当依次代入观测值易=（&，&，…，心/人=1，2,…，30）时，
7、便得到第k个样本主成分％的30个观测值XA.（/=i,2,-.-,30）,我们称之为第k个样本主成分的得分。求解方法利用Matlab命令，程序如下ClearallclcXI[8.359.258.197.739.429.1610.069.099.418.706.938.679.986.778.147.677.907.188.826.2510.607.2713.44510.857.217.687.787.948.2812.47]•;X2=[23.5323.7530.5029.2027.9327.9828.6428.1228.2028.1229.8536.05
8、37.6938.6937.7535.7139.7740.9133.7035.02
