查询词典 regression equation

Based on the autoregression equation for the standard variation of the residual errors obtained by ordinary regression analysis, the least square estimates and the maximum likelihood estimates for the regression, the autoregression and the moving average coefficients are derived.

提出一种异方差回归－时序模型，通过建立回归分析残差的标准差自回归方程，给出回归系数、自回归系数和滑动平均系数的最小二乘估计和极大似然估计。

Five main stalk crops planted in northern China including wheat, corn, broomcorn, soybean, and millet, were chosen to be the samples of the experiments. About seven morphological traits (such as plant height, ear length, ear weight, moisture content and so on) were measured in the crop mature period. The maximum shear force during shearing process, through static test equipment, at the second internode of the basal stalk, was recorded. And shear strength of each crop was calculated to find the differences of shear strength among different crops. The optimal regression models of shear force and morphological traits were obtained by multiple linear regression method with Statistics Analysis System. The equation based on the regression models was constructed.

本文以北方主要茎秆作物（小麦、玉米、高粱、大豆、谷子）为研究对象，试验测定了成熟期茎秆基部第二节间的最大剪切力及株高、穗长、穗重、含水率等七种形态特性指标，获得了静载情况下相关样本的剪切强度；分析比较了不同茎秆作物剪切强度的差异性，并利用SAS软件对茎秆作物剪切力与形态特性指标进行了多元线性回归，得到了剪切强度对形态特性指标的最优回归方程。

The main content of the study includes: the policy variables are classified into two types, which are continuous policy variable and discrete policy variable, and the two variable is analyzed respectively; as to the continuous policy variable, use reasonable weighting to synthesize comprehensive policy indicator to reflect the comprehensiveness of each main policy indicator; undertake regression analysis for the comprehensive policy indicator, economic and stock market variable and get the effect of all kinds of comprehensive policy indictor variables on the economy and stock market; undertake regression analysis for data on the economic indicator and the data on the stock market and get the relationship between the economy and the stock market; use event research method to analyze its effect on the stock market and get some corresponding conclusions; structure the differential or difference equation groups on the interactive relationship among the variable economy, stock market and policy and do the difference operation and constitute simultaneous equation with the original main variables one after another; use quantitative regression method and solve the coefficient of the simultaneous equation to predict the operating tendency.

本研究主要内容包括：将政策变量划分为连续性政策变量和离散政策变量两个类型，并分别进行分析；对于连续性政策变量，采取合理的权重来合成政策综合指标，反映各主要政策指标的综合力度大小；将各政策综合指标与经济、股市变量进行回归分析，获得各类政策综合指标变量对经济、股市影响程度的大小；将经济指标数据与股市数据进行回归分析，获得经济与股市之间关系的大小；采取事件研究方法来分析其对股市的影响程度；构建关于经济、股市与政策各主要变量之间互动关系的微分或差分方程组，进行差分运算，并以此与原来各主要变量组成联立方程；运用计量回归方法，求出联立方程系数用于预测。

The material parameters in the hyperbolic sine constitutive equation were determined with regression analysis, and the DRX activation energy was thus obtained to be 269 kJ/mol. The relationship between critical strain, peak strain/stress and the dimensionless parameter Z/A were established by linear regression.

采用回归法确定了双曲线本构方程中的材料常数和动态再结晶激活能(269kJ/mol)，并建立了临界应变、峰值应变和峰值应力与无量纲参数Z/A之间的关系。

Step wise regression was used and equation of multiple linear regression was established.

采用逐步回归的方法，建立多元线性回归方程。

This uses a special case of multiple linear regression called simple linear regression, with the equation

这种情况的多元线性回归成为一元线性回归，方程是

The adsorption of Lutetium on the peat is studied under static conditions. The adsorption ratio and adsorption rate for Lutetium onto peat are so high that the surface complex reaction reaches equilibrium. The adsorption of Lutetium is not pH and ion strength dependent. The kinetic process of adsorption can be described by the Elovich equation excellently among five kinds of classical kinetic models, and the adsorption isotherm fits both the Langmuir equation and Freundlich equation very well by means of regression analyses.

静态条件下泥煤对溶液中Lu(上标 3+)的吸附率较高，而且吸附速度较快，镥与泥煤能迅速发生表面络合反应达到平衡。pH值和离子强度对低浓度镥吸附动力学影响不大。5个经典动力学方程中Elovich方程能较优地描述泥煤吸附Lu(上标 3+)的过程。

This paper infer a series of recursive equation based on lease square estimation in order to reduce computing amount, include recurrence equation of regression coefficient, total dispersion square sum, residual square sum, regression square sum etc.

为了减少计算量，本文推导了基于最小二乘估计的一系列递推公式，包括回归系数、总离差平方和、残差平方和、回归平方和等的递推公式。

In practical work, we can fit the empirical equation of regression according to least square method when we use the old data, and needs to make the Real-time treatment for new acquired data in the light of the equation, namely, we need combine new acquired data with the original data, then infer the new empirical equation of regression.

在实际工作中，当我们用旧数据根据最小二乘法拟合出经验回归方程后，常常获得一些新的数据，需要对新获得的数据进行实时处理，即要把它和原有数据结合在一起算出新的经验回归方程。

Significant negative correlation was found between the microfibril angle and the fiber length, and the correlation can be expressed by regression equation: y＝a＋bcosx or y＝a＋bx.

枫杨木材微纤丝角与纤维长度间回归表现出显著负相关，其回归方程可用方程：y＝a＋bcosx或y＝a＋bx模拟，方程在0.05或0.01水平上显著。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。