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First we use stepwise regression and stepwise autoregression to establish polynomial trend-autoregression error model.

首先通过逐步回归与逐步自回归,建立太阳黑子数的多项式趋势-自回归校正模型。

In this paper the spline regressive analysis is used for the information processing of multi-gases sensor signals with the electronic nose system. The authors have established a spline regressive model of the freshness degree of beef based on the beef sample, and have done regressive analysis to the model, which has given the forecast value and the estimative interval of the degree of the freshness of the beef.

将样条回归分析方法用於电子鼻系统中多气体感测器信号的资讯处理,针对牛肉样本建立了牛肉新鲜度样条回归模型,并对该模型进行了回归分析给出了牛肉新鲜预报值和估计区间。

This course provides:Simple linear regression and correlation,Measures of model adequacy,Multiple regression,Polynomial regression models,Variable selection and model building,Multicollinearity and Topics in the use of regression analysis.

其内容包括:简单直线回归与相关,模式正确性的衡量,复回归分析,多项式回归模式,变量的选择及模式建立,共线,回归分析应用上的注意事项等。

On the other hand, partial Least Square Regression which is called the second generation regression method has got good result in handling the multicollinearity in multilinear regression;But under some circumstances the result of such a regression is not satisfactory.

另一方面,偏最小二乘回归方法,被称为第二代回归方法,在处理线性回归中的多重共线问题时,有着较好的效果;但在有些情况下的回归结果却并不理想。

In the regression add variables and delete the variables of each step, the regression equation of the series solution of regression coefficients, and calculation of regression coefficients significant test statistic.

在逐步回归添加变量和删除变量的每一个步骤,都要解一系列的回归方程,求回归系数,计算回归系数显著性检验的统计量。

By synthetically analysizing the physical and chemical properties of all components and particle size, the content of F2641 in the JOB-iC is determined by gravimetric analysis after F2641 is seperated from HMX,TATB and PNP through ? alkali reflux. Determination conditions is set as follows the sample is boilingly refluxed for six hour in a constant temperature bath after adding lOOm! 8.0 ?? 0.1% NaOH. The solvent DMF saturated by TATB is used for extracting HMX,F21 and PNP from the sample and TATB is seperated by crucible filter G4. The mass precent of TATB is determined by extraction fractionation. The mass percent of PNP is measured by multiwavlength linear regression ultraviolet spectrophotometry. The testing conditions are set as follows:multiwavlength constitution: X=267nxn, 275nm, 283nm, 29mm, 299nm,the application scope of the Lambert-Beer law: the concentration of PNP is O.005?0.O25mgIml, the concentration of HMX is 0.060.3Omg/ml,absorption coefficents of PNP and HMX are solved by the slope of linear regression curve of absorbency- concentration of standard solution of PNP and HMIX for measuring wavelengthes,on the basis of the Lanibert-Beer law and absorbancy additivity principle, the slope of linear regression curve of A/E(1) and E1 of PNP and HMX solution is regarded as the concentration of PNP in the solution.

根据传爆药中各组分的物理、化学性质及主体炸药的粒度大小,进行综合分析,确定了采用碱回流重量法测定JOB-1C 中F_(2641)的含量,测定条件:加入100ml浓度为8.0±0.1%的氢氧化钠,在恒温水浴中煮沸回流6h;采用溶剂萃取法测定JOB-1C中TATB的含量,选择TATB饱和的二甲基甲酰胺为萃取溶剂,用G4坩埚式过虑器进行萃取分离;采用多波长线性回归紫外分光光度法测定JOB-1C中PNP的含量,通过实验确定了多波长组合:λ=267nm,275nm,283nm,291nm,299nm;朗波—比耳定律的适用范围为PNP浓度:0.005~0.025mg/ml,HMX浓度:0.06~0.30mg/ml;在测定波长下,对PNP、HMX标准溶液的吸光度—浓度进行线性回归,由回归曲线的斜率得出PNP、HMX的吸收系数;根据朗波—比耳定律和吸光度加和性原理,在测定波长下,对PNP、HMX 两组分混合溶液A_i/E_HMX(i与E_PNP(i/E_HMX(i进行线性回归,回归曲线的斜率即为混合溶液中PNP的浓度。

This study conducted a secondary data analysis based on the data from 1999 Survey of Health and Living Status of the Middle Aged and the Elderly in Taiwan, provided by the Bureau of Health Promotion, Department of Health, R.O.C.. The study subjects were elders over 65 years old, and the number of valid samples was 2890. The data were analyzed with descriptive statistics, one-way ANOVA, Chi-square test(X2), Independent-Samples t-test, point biserial correlation, the Pearson product-moment correlation, logistic regression analysis, multiple regression analysis and hierarchical regression analysis.

本研究乃是使用行政院卫生署国民健康局人口与健康调查研究中心执行之「台湾地区中老年身心社会生活状况长期追踪调查系列」1999年调查资料进行次级资料分析,研究样本为年满六十五岁以上之高龄者,有效样本数为2890人,针对所得的资料,以描述统计、单因子变异数分析、卡方检定、独立样本t检定、点二系列相关、皮尔森积差相关、逻辑回归、多元回归分析及阶层回归分析等统计方法进行分析。

As one of the leading branches of the modern statistics, the riouparametric regression analysis is widely applied to explore the relationship between the the response variable y and the covariable A'.

对于非参数回归人们提出了许多估计方法,如核估计,局部多项式估计,光滑样条估计,级数估计(傅里叶级数估计,小波级数估计)等。这些方法本质上讲都是局部估计或局部光滑,当回归变量X为一维变量时,非参数回归函数用这些方法一般都能得到很好的估计。

Multiple linear regression is the simplest way to build the relationship between the several explanatory variables and response variable. However, MLR often causes the estimated regression coefficients unstable or even unaccessible when the number of explanatory variables is more than that of objects. Especially, the explanatory variables are highly intercorrelated which called multi-collinear data. Therefore, many methods have been developed to analyze multi-collinear data, such as variable selection methods, ridge regression, principal components regression and partial least squares regression.

当要同时建立多个解释变数与反应变数间的关系时,最简单的方式是以复回归来处理,但是当解释变数数目远多於样本数,或者变数之间具有高度相关性时,会使得回归系数的估计变得不稳定甚至无法求得,这样的资料又称为共线性资料,在面临这样的资料时可以利用变数选取的方式降低资料组的维度,或者以脊回归、主成分回归及净最小平方回归等方法来灭种共线性的干扰。

Based on data of per mu yield of spring-sown soybean and of cli-mate in Hengyang from 1975 to 1981,the tendency yields are estimatedfirst by the method of orthogonal polynomial regression,and then by theFisher's integral regression equation for the out-tendency yields andclimatic factors in this city.

依据1975~1981年衡阳市的气象资料和春大豆亩产量资料,首先用正交多项式回归方法估计了趋势产量,然后用费希尔积分回归模式和逐步回归方法计算出了该市气候因子和离趋势产量间的积分回归公式。

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