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回归分析法——多元线性回归分析XXTYiY^Y平均n=7、m=216.816.57111111115.414.8210853813.611-0.989.536.81-0.989.52-6.76.525.34-0.6513.212.7189183219.527.796.579.537.7912.329.888.267.5515.2615.142716351-6.712.3211.3311.0630773116.529.8813.3214.1601440615.348.2614.614.218364871-0.657.5512.1613.1456937(1)回归方程显著性检验(XTX)-1(Y^-Y平均)平方和S回(Y^-Yi)平方和S残F7.874996236-0.198542308-0.81069343214.650975231.2110853851.46672780911.9851-0.5789146150.3351421322.47479.686271591-0.1985423080.0094633590.0194160560.20066141-0.8910816760.794026553-0.4810816760.231439579-0.8106934320.0194160560.085448322-0.1820995521.5327163542.349219421-0.1172836460.013755454-2.5469226936.486815203-0.2669226930.0712477240.5501440590.3026584860.8401440590.705842040.6083648690.370107814-0.3816351310.145645373-0.4643062980.2155803380.9856937020.971592075F0.05(2,4)=6.94,因F>F0.05(2,4)=6.94,所以回归方程显著。(2)回归系数显著性检验(3)剔除X2后重新建立回归方程c11F1c22F2XXT0.0094636.8776895060.0854430.62731395716.811111111-0.986.81-0.989.52-6.76.525.3419.521-6.7F0.05(1,4)=7.7116.52(XTX)-1因F1<F0.05(1,4),F2<F0.05(1,4)。所以先剔除和X215.340.183518842-0.01433191812.923300471-0.65-0.0143319180.0050515320.24203911YiY^Y平均15.414.5715868113.6113.212.6861021415.2615.227512811.3311.3016384313.3214.5013954714.614.2157893212.1612.76597505(5)回归系数显著性检验(4)回归方程显著性检验(XTX)-1c11F1(Y^-Y平均)平方和S回(Y^-Yi)平方和S残0.183518842-0.0143319180.00505220.253316190.9615868070.92464918811.59706192-0.8284131930.6862684182.862738078n=7,m=1-0.0143319180.005051532-0.923897860.853587256-0.513897860.2640910111.6175127962.616347645-0.0324872040.001055418F>F0.05(1,5)=6.61,故回归方程显著.即水位与大坝位移间线性关系显著。-2.308361575.328533139-0.028361570.0008043790.8913954660.7945858761.1813954661.3956952460.6057893160.366980695-0.3842106840.14761785-0.8440249540.7123781230.6059750460.367205756回归分析求预测方程:F20.25519207F>F0.05(1,5)=6.61,故回归方程显著。