主成分分析作业

1.下表列出了1999年全国31个省、直辖市和自治区（港、澳、台不在其中）的城镇居民家庭平均每人全年消费性支出的八个主要变量数据，请从八个变量中识别出主成分。表1变量表x:食品x:交通和通讯1x:衣着5x:娱乐教育文化服务2x:家庭设备用品及服务6x:居住3x:医疗保健7.x:杂项商品和服务~48表1消费性支出数据单位：元地区x1x2x3x4x5x6x7x8北京2959.19730.79749.41513.34467.871141.82478.42457.64天津2459.77495.47697.33302.87284.19735.97570.84305.08河北1495.63515.90362.37285.32272.95540.58364.91188.63山西1406.33477.77290.15208.57201.50414.72281.84212.10内蒙古1303.97524.29254.83192.17249.81463.09287.87192.96辽宁1730.84553.90246.91279.81239.18445.20330.24163.86吉林1561.86492.42200.49218.36220.69459.62360.48147.76黑龙江1410.11510.71211.88277.11224.65376.82317.61152.85上海3712.31550.74893.37346.93527.001034.98720.33462.03江苏2207.58449.37572.40211.92302.09585.23429.77252.54浙江2629.16557.32689.73435.69514.66795.87575.76323.36安徽1844.78430.29271.28126.33250.56513.18314.00151.39福建2709.46428.11334.12160.77405.14461.67535.13232.29江西1563.78303.65233.81107.90209.70393.99509.39160.12山东1675.75613.32550.71219.79272.59599.43371.62211.84河南1427.65431.79288.55208.14217.00337.76421.31165.32湖北1783.43511.88282.84201.01237.60617.74523.52182.52湖南1942.23512.27401.39206.06321.29697.22492.60226.45广东3055.17353.23564.56356.27811.88873.061082.82420.81广西2033.87300.82338.65157.78329.06621.74587.02218.27海南2057.86186.44202.72171.79329.65477.17312.93279.19重庆2303.29589.99516.21236.55403.92730.05438.41225.80四川1974.28507.76344.79203.21240.24575.10430.36223.46贵州1673.82437.75461.61153.32254.66445.59346.11191.48云南2194.25537.01369.07249.54290.84561.91407.70330.95西藏2646.61839.70204.44209.11379.30371.04269.59389.33陕西1472.95390.89447.95259.51230.61490.90469.10191.34

甘肃1525.57472.98328.90219.86206.65449.69249.66228.19青海1654.69437.77258.78303.00244.93479.53288.56236.51宁夏1375.46480.89273.84317.32251.08424.75228.73195.93新疆1608.82536.05432.46235.82250.28541.30344.85214.40资料来源：2000年《中国统计年鉴》1.从协方差矩阵出发对上述八个