MATLAB及数学软件综合实验

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1、MATLAB及数学软件综合实验一、统计分析1.假定影响某地区发电需求量的指标有：（1）钢的产量；（2）生铁产量；（3）钢材产量；（4）有色金属产量；（5）原煤产量；（6）水泥产量；（7）机械工业产量；（8）化肥产量；（9）硫酸产量；（10）烧碱产量；（11）棉纱产量，共11个指标，收集了1958年－1980年共23个年头的各指标和发电量，原始数据见表一。分别用Matlab和SPSS计算：（1）各xi和y的均值、方差、峰度、偏度，以及两两间的协方差和相关系数；（2）以y为自变量x1，x2，……，x11

2、为因变量进行回归分析；若存在不显著的变量，剔除最不显著的变量（每次剔除一个），再做回归分析，直至所有变量均显著；（3）用SPSS进行逐步回归分析；用Matlab的stepwise()函数进行逐步回归分析。表1原始数据表47.0056.0048.307777.002028.0032.207.310.301.211.4326.2210.7362.60110.0059.6013743.003500.0033.209.611.802.281.9328.0017.6568.00125.0060.0012269

3、.003800.0055.6012.853.305.391.9027.5626.8435.3057.6025.604582.002600.0024.406.7610.605.361.5410.9524.2031.3020.6023.503891.001296.0017.905.0813.705.611.3310.1520.0835.2018.2026.505061.001052.0024.805.5416.907.511.4714.2319.2845.3023.7038.507686.001001.

4、0037.807.1434.008.641.5720.3822.8949.5028.2050.009526.001134.0078.8011.2060.8013.871.9226.5628.9459.7030.5069.2010515.001545.00101.6015.89103.9020.052.8633.1839.0547.8019.6052.707580.001287.0074.9010.8688.1015.752.4123.9039.0917.708.1017.202333.00998.0

5、040.205.1031.306.691.5517.5626.8136.0010.4037.202099.001347.0073.3013.1447.8013.631.5727.2037.1962.0029.3057.7010589.001953.00138.6025.5490.9018.862.6336.2854.0997.0077.9078.3013004.002522.00247.0031.31137.3028.514.0041.5377.3995.2097.4074.6012593.0027

6、33.00270.0028.79154.0028.934.2440.2484.02118.40102.2058.3010936.002557.00233.5028.03169.1028.243.7638.2088.3999.9086.5050.007810.002440.00205.0026.50143.6022.173.0731.5486.32151.00111.00110.709400.003086.00288.0038.61189.0029.175.0346.87107.94108.0084.

7、1076.908476.002895.00262.2031.46216.5026.364.4638.62102.76162.50138.30132.0011632.003678.00358.6046.21405.8030.426.2352.48118.84238.20224.00202.0016163.003794.00454.8055.86542.8050.007.8355.96139.30292.90274.40251.5018796.003838.00519.2063.77581.3056.6

8、89.4962.17156.39329.00287.60259.2021300.003898.00551.1061.88632.4060.2210.8166.75163.702.在饲养条件尽可能相同的条件下，检验某种激素对羊羔增重的效应．选用3个剂量进行试验，加上对照（不用激素）在内，每次试验要用4只羊羔，若进行4次重复试验，则共需要16只羊羔．一种常用的试验方法，是将16只羊羔随机分配到16个试验单元．这种方法被称为完全随机设计，在试验单元间的试验条件很一致的情况下