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我想通过使用 Apache 的 Commons.Math3 库和 OLSMultipleLinearRegression 来获取回归参数。回归应该是幂为 2 的多项式。它适用于测试数据，但是当我使用这个实验数据时，方法给了我一个绝对错误的回归。

public static void poly (){
OLSMultipleLinearRegression quadRegression = new OLSMultipleLinearRegression();

double [] y = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
               26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
               51,52,53,54,55,56,57,58,59};

double [][] x = {{1.00,1.00},{1.00,1.00},{1.00,1.00},{1.00,1.00},{1.00,1.00},{1.00,1.00},{1.00,1.00},{1.00,1.00},{1.00,1.00},{0.95,0.90},{0.96,0.91},{0.96,0.92},{0.96,0.92},{0.96,0.92},{0.92,0.84},{0.92,0.85},
{0.92,0.86},{0.93,0.86},{0.93,0.87},{0.89,0.80},{0.90,0.81},{0.90,0.81},{0.90,0.82},{0.89,0.80},{0.90,0.81},{0.90,0.82},{0.91,0.82},{0.91,0.83},{0.90,0.80},{0.90,0.80},{0.90,0.81},{0.91,0.82},
{0.89,0.79},{0.89,0.80},{0.90,0.80},{0.90,0.81},{0.88,0.77},{0.88,0.77},{0.88,0.78},{0.88,0.78},{0.86,0.73},{0.86,0.74},{0.86,0.74},{0.86,0.74},{0.84,0.71},{0.85,0.72},{0.85,0.72},{0.85,0.73},
{0.84,0.71},{0.84,0.71},{0.84,0.71},{0.84,0.71},{0.83,0.69},{0.83,0.69},{0.83,0.69},{0.82,0.68},{0.82,0.68},{0.82,0.68},{0.82,0.68}};

quadRegression.newSampleData(y, x);
quadRegression.setNoIntercept(false);

double [] results = quadRegression.estimateRegressionParameters();}

对于这个输入数据，我得到方程 y=117.54x²-504.83x+389.088 这将导致 x=59 的 y 值为 379.760.85 - 远远超出我的输入值。所以我要么完全错误地处理了这门课，要么陷入了数学陷阱。

如果有人可以向我解释我做错了什么或被误解了 - 这个问题让我发疯。

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