多元统计分析课程设计题目.doc

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1、..课程设计题目1.下表给出了1991年我国30个省、区、市城镇居民的月平均消费数据，所考察的八个指标如下（单位均为元/人）X1：人均粮食支出；X2：人均副食支出；X3：人均烟酒茶支出；X4：人均其他副食支出；X5：人均衣着商品支出；X6：人均日用品支出；X7：人均燃料支出；X8：人均非商品支出；问题：（1）求样品相关系数矩阵R;（2）从R出发做主成分分析，求各主成分的贡献率，及前两个主成分的累积贡献率；（3）求出前两个主成分并解释其意义.按第一主成分将30个省、区、市排序，结果如何？表一1991年我国30个省、区、市城镇居民的月平均消费数据省市

2、X1X2X3X4X5X6X7X818.3523.537.518.6217.4210.001.0411.2129.2523.756.619.1917.7710.481.7210.5138.1930.504.729.7816.287.602.5210.3247.7329.205.429.4319.298.492.5210.0059.4227.938.208.1416.179.421.559.7669.1627.989.019.3215.999.101.8211.35710.0628.6410.5210.0516.188.391.9610.8189.0

3、928.127.409.6217.2611.122.4912.6599.4128.205.7710.8016.3611.561.5312.17108.7028.127.2110.5319.4513.301.6611.96116.9329.854.549.4916.6210.651.8813.61128.6736.057.317.7516.6711.682.3812.88139.9837.697.018.9416.1511.080.8311.67146.7738.696.018.8214.7911.441.7413.23158.1437.759.6

4、18.4913.159.761.2811.28167.6735.718.048.3115.137.761.4113.25177.9039.778.4912.9419.2711.052.0413.29187.1840.917.328.9417.6012.751.1414.80198.8233.707.5910.9818.8214.731.7810.10206.2535.024.726.2810.037.151.9310.392110.6052.417.709.9812.5311.702.3114.6922广西7.2752.653.849.1613.

5、0315.261.9814.572313.4555.855.507.459.559.522.2116.302410.8544.687.3214.5117.1312.081.2611.57257.2145.797.6610.3616.5612.862.2511.69267.6850.3711.3513.3019.2514.592.7514.87277.7848.448.0020.5122.1215.731.1516.61287.9439.6520.9720.8222.5212.411.757.90298.2864.348.0022.2220.061

6、5.120.7222.89.....3012.4776.395.5211.2414.5222.005.4625.502.下表是49位女性在空腹情况下三个不同时刻的血糖含量（用X1,X2,X3表示）和摄入等量食糖一小时后的三个时刻的血糖含量（用小X4,X5,X6表示）的观测值（单位：mg/100ml）.问题：分别从样本协方差阵S和样本相关系数矩阵R出发做主成分分析，求主成分的贡献率和各个主成分.在两种情况下，你认为应保留几个主成分？其意义如何解释？就此而言，你认为基于S和R的分析那个结果更为合理？表二49位女性在空腹和摄入食糖后三个不同时刻的血糖含

7、量编号空腹摄入食糖X1X2X3X4X5X6160696297699825653841037810738069766699130455809080851145627568116130916746470109101103764716677102130873706411511010996867757685119106982747213312711606761130134121127074781501581001366747815013114214837074999810515686690119851091678637516498138171037777

8、16011712118776874144711531966776877828920707072114931222175657177701