1、廣西大學2009年數(shù)學建模競賽選拔賽題目B題： 化驗結果的處理人們到醫(yī)院就診時，通常要化驗一些指標來協(xié)助醫(yī)生的診斷。診斷就診人員是否患腎炎時通常要化驗人體內(nèi)各種元素含量。表B.1是確診病例的化驗結果，其中130號病例是已經(jīng)確診為腎炎病人的化驗結果；3160號病例是已經(jīng)確定為健康人的結果。表B.2是就診人員的化驗結果。我們的問題是：1. 根據(jù)表B.1中的數(shù)據(jù)，提出一種或多種簡便的判別方法，判別屬于患者或健康人的方法，并檢驗你提出方法的正確性。2. 按照1提出的方法，判斷表B.2中的30名就診人員的化驗結果進行判別，判定他（她）們是腎炎病人還是健康人。3. 能否根據(jù)表B.1的數(shù)據(jù)特征，確定哪些指標

2、是影響人們患腎炎的關鍵或主要因素，以便減少化驗的指標。4. 根據(jù)3的結果，重復2的工作。5. 對2和4的結果作進一步的分析。表B.1 確診病例的化驗結果病例號ZnCuFeCaMgKNa116615.824.5700112179513218515.731.570112518442731939.8025.9541163128642415914.239.789699.2239726522616.223.860615270.321861719.299.2930718745.5257720113.326.655110149.4141814714.530.065910215468091728.857.86

3、55175.798.43181015611.532.56391071035521113215.917.757892.4131413721218211.311.3767111264672131869.2637.195823373.0347141628.2327.162510862.4465151506.6321.06271401796391615910.711.761219098.53901711716.17.0498895.51365721818110.14.0414371841015421914620.723.8123212815010922042.310.39.7062993.743988

4、82128.212.453.137044.14548522215413.853.36211051607232317912.217.9113915045.22182413.53.3616.813532.651.6182251755.8424.980712355.61262611315.847.362653.61686272750.511.66.3060858.958.91392878.614.69.7042170.81334642990.03.278.1762252.37708523017828.832.499211270.21693121319.136.2222024940.016832170

5、13.929.8128522647.93303316213.219.8152116636.21333420313.090.8154416298.903943516713.114.1227821246.31343616412.918.6299319736.394.53716715.027.0205626064.62373815814.437.0102510144.672.53913322.831.016334011808994015613532267471090228810411698.00308106899.153.02894224717.38.65255424177.9373431668.1

6、062.81233252134649442096.4386.9215728874.0219451826.4961.738704321433674623515.623.4180616668.81884717319.117.0249729565.82874815119.764.220314031828744919165.435.053613921376885022324.486.0360335397.74795122120.115531723681507395221725.028.223433731104945316422.235.52212281153549541738.9936.0162421

7、61032575520218.617.7378522531.067.35618217.324.8307324650.71095721124.017.0383642873.53515824621.593.2211235471.71955916416.138.0213515264.32406017921.035.0156022647.9330表B.2 就診人員的化驗結果病例號ZnCuFeCaMgKNa6158.25.4229.7323138179513621061.8740.5542177184427631520.8012.513321761286466485.51.703.9950362.323

8、8762.6651440.7015.154779.771.0218.56685.71.094.279017045.8257.9671440.309.1141755249.5141.5681704.169.32943260155680.8691760.5727.331813399.4318.8701927.0632.91969343103553711888.2822.6120823113141372721535.8734.8328163264672.5731432.8415.726512373.0347.57421319.136.2222024962.0465.87519220.123.8160615640.01687617110.530.567214547.0330.57716213.219.8152116636.21337820313.090.8154416298.9394.57916420.128.9106216147.3134.58016713.114.1227821236.596.58116412.918.6299319765.5237.88216715.027.0205626044.872.08315814.437.01025101180899.58413322.831.31633401228289851698.030.8106899.153.0817