应用统计学试题20046(B).doc

华东理工大学2003-2004学年第二学期(B)应用统计学试题(工商经济学院01级)班级_姓名_学号_成绩_注意：本试卷为开卷考试题，所有的计算都要给出计算过程，否则不给分。1. （40分）在把氨氧化成硝酸的生产过程中，希望求得氨的损失率关于空气流速，冷却水温度，吸收液中硝酸的浓度的回归方程，现收集到32组数据，见下表。表(1) 数据表nx1x2x3yRx1Rx2Rx3Ry180.0027.0089.0042.0031322232280.0026.0088.0037.0031301830375.0025.0090.0037.0029292530462.0024.0087.0028.0022251427562.0022.0087.0018.0022191422662.0023.0087.0018.0022211422762.0024.0093.0019.0022253023862.0024.0093.0020.0022253025958.0023.0087.0015.00152114181058.0018.0080.0014.001554141158.0018.0089.0014.0015522141258.0017.0088.0013.0015118121358.0018.0082.0011.00155791458.0019.0093.0012.00151130111550.0018.0089.008.00552251650.0018.0086.007.00551021750.0019.0072.008.00511151850.0019.0079.008.00511251950.0021.0080.009.00518482056.0020.0082.0015.0010157182170.0020.0091.0015.00271527182280.0027.0088.0037.00313218302375.0025.0090.0037.00292925302462.0024.0087.0028.00222514272562.0024.0093.0020.00222530252658.0023.0087.0015.00152114182758.0019.0093.0012.00151130112850.0018.0089.008.00552252950.0018.0086.007.00551023050.0020.0080.009.00515483156.0020.0082.0015.0010157183270.0020.0091.0015.0027152718附表： SPSS计算结果表(2)表(3)表(4) 表(5)表(6) 表(7)按“平均值法”，将表（1）中的数据进行赋秩，即计算R、R1、R2、R3的值。利用SPSS计算结果，建立R关于R1、R2、R3回归方程 。试利用回归方程 ，求出x1=60,x2=25,x3=81时，的预测值。2. （40分）这是一个啤酒市场的案例。现给出20个啤酒品牌的数据。编号啤酒品牌热量（卡）钠含量（%）酒精含量（%）价格（$）1Budweiser144.0019.004.70.432Schlitz181.0019.004.90.433Ionenbrau157.0015.004.90.484Kronensourc170.007.005.20.735Heineken152.0011.005.00.776Old-milnaukee145.0023.004.60.267Aucsberger175.0024.005.50.408Strchs-bohemi149.0027.004.70.429Miller-lite99.0010.004.30.4310Sudeiser-lich113.006.003.70.4411Coors140.0016.004.60.4412Coorslicht102.0015.004.10.4613Michelos-lich135.0011.004.20.5014Secrs150.0019.004.70.7615Kkirin149.006.005.00.7916Pabst-extra-l68.0015.002.30.3617Hamms136.0019.004.40.4318Heilemans-old144.0024.004.90.4319Olympia-gold72.006.002.90.4620Schlite-light97.007.004.20.47经SPSS软件计算的结果如下：Factor Analysis根据SPSS提供的结果，回答下列问题: 请写出前两个特征值和对应的两个主成分，并给出它们的贡献率。 能否对未经旋转的主成分与旋转后的因子作比较，对这两个主成分的意义作一个合理的解释，并给两个主成分命