灰關(guān)聯(lián)分析,主成分析,均值極差控制圖,(包括例題計算公式)

1、某廠制作1879個線圈，其阻抗值的質(zhì)量要求為（15±2)?。今從其制造過程中，按時間順序隨機抽取n=5的10組樣本，測得其阻抗值如表所示。試畫出X-R（均值-極差）控制圖。樣本號測量值x1x2x3x4x51234567891015.313.016.714.214.514.515.915.115.116.414.515.216.014.915.615.915.415.212.716.416.914.214.413.216.914.315.515.017.614.614.015.114.217.016.415.014.415.716.414.314.913.514.315.115.814.213.813.615.214.3第一題求解：極差圖序號均值極差UCL極差極差平均LCL115.2752.95.623242.92.660213.952.15.623242.12.660315.122.55.623242.52.660414.883.85.623243.82.660515.842.45.623242.42.660614.781.75.623241.72.6607152.15.623242.12.660814.922.15.623242.12.660915.44.95.623244.92.6601015.22.15.623242.12.660求和150.36526.6均值圖全平均15.03652.66UCL均值總平均LCL16.5713215.27515.036513.50168極差圖UCL5.6232416.5713213.9515.036513.50168LCL016.5713215.1215.036513.50168均值圖UCL16.5713216.5713214.8815.036513.50168LCL13.5016816.5713215.8415.036513.5016816.5713214.7815.036513.5016816.571321515.036513.5016816.5713214.9215.036513.5016816.5713215.415.036513.5016816.5713215.215.036513.501682、利用灰色關(guān)聯(lián)分析對6位教師工作狀況進行綜合評價。評價指標包括：專業(yè)素質(zhì)、外語水平、教學(xué)工作量、科研成果、論文、著作與出勤。編號123456母因素專業(yè)8796889外語9878699教學(xué)量8798659科研7568979論文5764868著作2343349出勤9876889第二題求解：123456關(guān)聯(lián)系數(shù)0.720.840.560.910.720.68關(guān)聯(lián)系數(shù)0.560.621.000.570.730.53關(guān)聯(lián)系數(shù)0.720.840.560.570.730.58關(guān)聯(lián)系數(shù)1.000.610.730.570.560.94關(guān)聯(lián)系數(shù)0.680.670.940.600.590.99關(guān)聯(lián)系數(shù)0.340.400.460.410.390.47關(guān)聯(lián)系數(shù)0.560.621.000.910.720.68平均0.6520.6580.7490.6470.6310.696排序：3>6>2>1>4>53、寫出主成分人均糧食產(chǎn)量x5(kg·人-1)經(jīng)濟作物占農(nóng)作物播面比例x6/％耕地占土地面積比x7/％果園與林地面積之比x8/％灌溉田占耕地面積之比x9/％295.34026.72418.4922.23126.262452.26032.31414.4641.45527.066270.12018.2660.1627.47412.489354.26017.48611.8051.89217.534586.59040.68314.4010.30322.932216.3908.1284.0650.0114.861291.5208.1354.0630.0124.862225.25018.3522.6450.0343.201196.37016.8615.1760.0556.167226.51018.2795.6430.0764.477217.09019.7934.8810.0016.165181.3804.0054.0660.0155.402194.0409.1104.4840.0025.790188.09019.4095.7215.0558.413211.55011.1023.1330.0103.425220.9104.3834.6150.0115.593242.16010.7066.0530.1548.701193.46011.4196.4420.01212.945228.4409.5217.8810.06912.654175.23018.1065.7890.0488.461236.29026.7247.1620.09210.078第三題求解：相關(guān)性Zscore:人均糧食產(chǎn)量x5(kg·人-1)Zscore:經(jīng)濟作物占農(nóng)作物播面比例x6/％Zscore:耕地占土地面積比x7/％Zscore:果園與林地面積之比x8/％Zscore:灌溉田占耕地面積之比x9/％Zscore:人均糧食產(chǎn)量x5(kg·人-1)Pearson相關(guān)性1.734.672.098.747Zscore:經(jīng)濟作物占農(nóng)作物播面比例x6/％Pearson相關(guān)性.7341.658.222.707Zscore:耕地占土地面積比x7/％Pearson相關(guān)性.672.6581-.030.890Zscore:果園與林地面積之比x8/％Pearson相關(guān)性.098.222-.0301.290Zscore:灌溉田占耕地面積之比x9/％Pearson相關(guān)性.747.707.890.2901matlabB=0.16020.70910.4760-0.10070.4846-0.0683-0.67560.55200.05630.48070.6199-0.1630-0.5238-0.26930.49210.23990.0626-0.10420.95440.1299-0.72650.1014-0.42840.05780.5245C=0.0465000000.2617000000.4179000001.0288000003.2451B=0.16020.70910.4760-0.10070.4846-0.0683-0.67560.55200