The paper discusses theoretical and simulates in numerical of the economic analysis and forecasting model's ill-posed problem in linear regression analysis, time series analysis model and gray system model. Imposed interference noise on deformation observational data, it come out the numerical expression relation between every three model parameters and the noise interference using the least squares principle. The paper points out if one use any of the three models for modeling analysis to explain the deformation and deformation forecast, one must be required to inspect the information matrix A=XTX whether or not was ill-posed, and take effective method to reduce the ill-condition of the information matrix before using these three models.%对常用的经济分析与预测模型中的线性回归、时间序列及灰色系统信息矩阵的病态问题进行了讨论。通过对统计资料附加干扰，基于最小二乘原理，得出每个模型中的每一参数与噪声的数值关系。指出在经济分析与预测模型的使用过程中，使用这类模型进行分析时必须考虑矩阵的病态问题，采取有效方法减轻或者消除信息矩阵的病态程度后方可使用这三种模型。
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