多元统计分析报告课程设计题目.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

2、、市城镇居民的月平均消费数据省市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.

3、6410.5210.0516.188.391.9610.8189.0928.127.409.6217.2611.122.4912.6599.4128.205.7710.8016.3611.561.5312.17108.7028.127.2110.5319.4513.301.6611.96116.9329.854.549.4916.6210.651.8813.61128.6736.057.317.7516.6711.682.3812.88139.9837.697.018.9416.1511.080.8311.67

4、146.7738.696.018.8214.7911.441.7413.23158.1437.759.618.4913.159.761.2811.28167.6735.718.048.3115.137.761.4113.25177.9039.778.4912.9419.2711.052.0413.29187.1840.917.328.9417.6012.751.1414.80198.8233.707.5910.9818.8214.731.7810.10206.2535.024.726.2810.037.151.

5、9310.392110.6052.417.709.9812.5311.702.3114.6922广西7.2752.653.849.1613.0315.261.9814.572313.4555.855.507.459.559.522.2116.302410.8544.687.3214.5117.1312.081.2611.57257.2145.797.6610.3616.5612.862.2511.69267.6850.3711.3513.3019.2514.592.7514.87277.7848.448.002

6、0.5122.1215.731.1516.61287.9439.6520.9720.8222.5212.411.757.90298.2864.348.0022.2220.0615.120.7222.893012.4776.395.5211.2414.5222.005.4625.502.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

7、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量编号空腹摄入食糖X1X2X3X4X5X61606962976998256538410378107380697666991304558090808511456275681161309167464701091011037647166771021308737064115110109968677576851191069

8、82747213312711606761130134121127074781501581001366747815013114214837074999810515686690119851091678637516498138171037777160117121187768741447115319667768778289207070721149312221756571777010922917