发布时间 : 星期一 文章2012高教社杯全国大学生数学建模竞赛A题论文更新完毕开始阅读20e475ffe55c3b3567ec102de2bd960591c6d910
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白葡萄酒树状图
通过树状图和葡萄酒的质量进行综合分析，可把酿酒葡萄分为四级，分别为：红葡萄酒
优质酒样品号：2,17,3,20,23,9
良好酒样品号：4,24,27,22,20,26,5,21,14,19 中等酒样品号：1,25,12,13,10,16 一般酒样品号：11,7,18,15,8,6
白葡萄酒
优质酒样品号：21,22,25,28,10,17,9,5
良好酒样品号：24,19,20,18,4,2,7,14,23,1,15 中等酒样品号：13,7,26,6,3,2 一般酒样品号：16,11,8,12
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5.2 问题三
我们利用第二问中主成分分析的结果，和葡萄酒的理化指标进行多元统计分析中的典型相关分析，得到两组理化指标的相关系数，从而得到它们之间的联系。
Communalities酒石酸InitialExtraction1.000.895苹果酸1.000.832柠檬酸1.000.594总酚(mmol/kg)1.000.951单宁(mmol/kg)1.000.888白藜芦醇(mg/kg)1.000.819氨基酸总量1.000.742蛋白质1.000.764VC含量（mg/L)1.000.799花色苷1.000.841黄酮醇(mg/kg)1.000.895总糖g/L1.000.804还原糖g/L1.000.847可溶性固形物g/l1.000.934PH值1.000.866可滴定酸（g/l）1.000.925固酸比1.000.898干物质含量g/100g1.000.856果穗质量/g1.000.772百粒质量/g1.000.721果梗比(%)1.000.792出汁率(%)1.000.814果皮质量（g）1.000.842L* 果皮颜色 11.000.892果皮颜色a*(+红；-绿)1.000.895果皮颜色b*（+黄;-蓝）1.000.957多酚氧化酶活力1.000.735褐变度1.000.827葡萄总黄酮1.000.955DPPH自由基1/IC501.000.725Extraction Method: Principal Component Analysis. ;..
CommunalitiesInitialExtraction蛋白质mg/100g1.000.804VC含量（mg/L)1.000.521花色苷mg/100g鲜重1.000.893酒石酸（g/L）1.000.857苹果酸（g/L）1.000.890柠檬酸（g/L）1.000.813多酚氧化酶活力1.000.700褐变度1.000.892DPPH自由基1/IC50（g/L）1.000.898总酚(mmol/kg)1.000.898单宁(mmol/kg)1.000.811葡（萄mmol/kg总黄酮）1.000.822白藜芦醇(mg/kg)1.000.931黄酮醇(mg/kg)1.000.862总糖g/L1.000.884还原糖g/L1.000.948可溶性固形物g/l1.000.948PH值1.000.837可滴定酸（g/l）1.000.926固酸比1.000.802干物质含量g/100g1.000.890果穗质量/g1.000.804百粒质量/g1.000.824果梗比(%)1.000.809出汁率(%)1.000.620果皮质量（g）1.000.908果皮颜色1.000.744a*(+红；-绿) 11.000.932b*（+黄;-蓝） 11.000.957氨基酸总量1.000.822Extraction Method: Principal Component Analysis.
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Scree PlotScree Plot68564Eigenvalue3Eigenvalue123456789101112131415161718192021222324252627282930421200-1123456789101112131415161718192021222324252627282930Component NumberComponent Number
aComponent Matrix蛋白质mg/100gVC含量（mg/L)花色苷mg/100g鲜重酒石酸（g/L）苹果酸（g/L）柠檬酸（g/L）多酚氧化酶活力褐变度DPPH自由基1/IC50（g/L）总酚(mmol/kg)单宁(mmol/kg)葡萄总黄酮（mmol/kg）白藜芦醇(mg/kg)黄酮醇(mg/kg)总糖g/L还原糖g/L可溶性固形物g/lPH值可滴定酸（g/l）固酸比干物质含量g/100g果穗质量/g百粒质量/g果梗比(%)出汁率(%)果皮质量（g）果皮颜色a*(+红；-绿) 1b*（+黄;-蓝） 1氨基酸总量1.573-.172.836.376.406.303.323.582.724.857.752.703.039.554.326.328.325.253-.252.388.441-.366-.544.555.534-.253-.585-.328-.118.4172-.558-.380-.167.004.255.094.091-.159-.495-.193-.143-.300-.170-.047.801.831.835-.299.564-.114.824-.388-.239-.301-.203-.124-.282.205.410.5123.104.034-.096.375.239.444-.181.073-.078-.195-.282-.233.796.043-.047-.216-.217.110-.518.408-.057-.303-.536.161-.287-.652.229.761.664.089Component45.286.192.005-.525-.310.095.389.289-.659.098-.357.351-.598.244-.705-.007.221.218-.076.278.111-.078.246.147.138.712-.038.029.063.075.074-.215.151-.122.001.082-.004.440-.017-.019-.162.026-.191-.177.100.134.132.135-.346.556.071.600.267-.408-.002.328.091-.001.198-.2556-.123.123.201-.131.362-.067-.344-.059.110.180.237.297.150-.498-.053-.076-.074-.118.219-.117-.018.048.152-.401.414-.084-.333.280.446-.3007.093-.048-.094.253-.125.329-.022-.093.198-.021.238.119.256.460-.096-.061-.057-.305.307-.340.063.223.209.083-.133.456.027.232.286.1708-.111.230.049-.509.116-.389.135.120.149.088.001.066.360.232.226.232.229.199-.113.181-.030.102.203.060-.007.255.389.256.116-.035Extraction Method: Principal Component Analysis.a. 8 components extracted.
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Component Score Coefficient MatrixComponent56.249.249.269.083.159.189.106.094-.105.169.099-.355.107.091-.046-.164.043.178.131.142.176.009-.171.033-.166-.118-.134.186.012-.036-.058.045.044.005-.018-.052.012-.095-.199.181.180.023.126-.040-.131.229.176-.025-.036-.076.138-.064-.048.174.073-.156.072.120-.114.127酒石酸苹果酸柠檬酸总酚(mmol/kg)单宁(mmol/kg)白藜芦醇(mg/kg)氨基酸总量蛋白质VC含量（mg/L)花色苷黄酮醇(mg/kg)总糖g/L还原糖g/L可溶性固形物g/lPH值可滴定酸（g/l）固酸比干物质含量g/100g果穗质量/g百粒质量/g果梗比(%)出汁率(%)果皮质量（g）L* 果皮颜色 1果皮颜色a*(+红；-绿)果皮颜色b*（+黄;-蓝）多酚氧化酶活力褐变度葡萄总黄酮DPPH自由基1/IC501.060.024.039.013.083.013.104.040-.054-.066.047.132.115.140.049-.003.027.145-.098-.080-.031-.101-.043.089-.048.111-.080.036.002.0772-.100.078-.022.155.075.012.022.129.004-.085.058-.039-.016-.062-.082.127-.128-.037.097.062-.079.042.075.074-.101.030-.077.030.155.0913.002.028.078.127.061.065.048.063-.153.037.136-.029.014-.011.094-.149.158.027.080-.037-.132-.061.104-.140.160-.172-.020-.037.138-.0384.042.237-.001-.097-.055.171.222-.130-.182.108-.206.040.167-.001-.082.155-.118.080.113.007.025.084.129-.077.004-.030-.082-.286-.046-.0427-.033.182.318-.092-.192-.181-.053.178-.182-.078.087.044.171.046-.278.052-.010.066-.037.071-.098.108.073-.103-.004.036.250.285-.110-.2018-.060-.022.009.046.241.190-.132-.045.128.233.247-.028.183-.022-.370.160-.165.156-.100.003.280-.241-.201-.102.217-.142.083.008.077.0099.271-.023-.003-.026-.129.217.063.004.172-.309.199.134-.025.131.143.156-.085-.121.052.263.260.005.255-.163.211-.058-.238.222-.105-.05310-.051-.177.142-.130-.361.171.110-.120-.009.289.097-.156.113-.049-.170-.172.142-.081.190.212-.028-.409.196.101-.261.102-.093.153-.034.330Extraction Method: Principal Component Analysis.
Total Variance ExplainedInitial Eigenvalues% of VarianceCumulative .14319.14316.42135.56412.11047.6747.08954.7636.43061.1935.53166.7245.10171.8244.28676.1104.12480.2353.35883.5933.23486.8272.88889.7152.12791.8422.03993.8811.30795.1871.11996.306.98597.291.86198.152.56698.718.39699.114.32499.438.21399.651.17099.821.07899.899.05099.949.03599.984.016100.0008.99E-016100.0006.72E-016100.000-9.75E-016100.000Extraction Sums of Squared LoadingsTotal% of VarianceCumulative %5.74319.14319.1434.92616.42135.5643.63312.11047.6742.1277.08954.7631.9296.43061.1931.6595.53166.7241.5305.10171.8241.2864.28676.1101.2374.12480.2351.0073.35883.593Component123456789101112131415161718192021222324252627282930Total5.7434.9263.6332.1271.9291.6591.5301.2861.2371.007.970.866.638.612.392.336.295.258.170.119.097.064.051.023.015.011.0052.70E-0162.02E-016-2.9E-016Extraction Method: Principal Component Analysis. ;..