多元回归分析

NMath Stats contains a data table class with functions for computing descriptive statistics, such as mean, variance, standard deviation, percentile, median, quartiles, geometric mean, harmonic mean, RMS, kurtosis, skewness, and many more; PDF, CDF, inverse CDF, and random variable moments for a variety of probability distributions, including normal, Poisson, chi-square, gamma, beta, Student's t, F, binomial, and negative binomial; Combinatorial functions, such as factorial, log factorial, binomial coefficient, and log binomial; Multiple linear regression; Basic hypothesis tests, such as z-test, t-test, and F-test, with calculation of p-values, critical values, and confidence intervals; One-way and two-way analysis of variance and analysis of variance with repeated measures; Multivariate statistical analyses, including principal component analysis and hierarchical cluster analysis.

nmath统计包含一个数据表的阶层与职能计算描述性统计，如平均，方差，标准差，百分位，中位数， 25 ％，几何平均数，调和的意思是，有效值，峭度，偏度，还有更多的； PDF格式，民防部队，逆民防部队，并随机变量矩的各种概率分布，包括正常，泊松，卡方检定，伽玛，测试版，学生的吨，男，二项式，并负二项分布；组合的功能，例如阶乘，日志阶乘，二项式系数，并登入二项式；多元线性回归；基本假设测试，如的Z测试， t检验， F检验，计算p值，临界值，和置信区间；之一，双向和双方法方差分析和方差分析与反复的措施；多元统计分析，包括主成分分析和聚类分析。

It focuses extensively on multiple and partial regression and correlation, some uses of Chi squares, and some advanced experimental designs and data analysis, including: two- and three- factor factorial, Latin square, nested, split-plot, confounding and fractional replication experiments.

本课程进一步介绍多元回归与偏回归，复相关与偏相关，χ2的应用，和部分高级试验设计与结果分析，包括：两因素和三因素因子式试验设计与分析，拉丁方试验设计与分析，巢式试验设计与分析，裂区试验设计与分析，混杂和部分重复试验设计与分析等内容。

Linear models for dependence analysis (multivariate regression, MANOVA, and discriminant analysis) and for interdependence analysis (principal components and factor analysis).

相依分析线性模型社会科学中的多元分析：(多元回归， MANOVA 和判别分析)相依关系分析。

Sample data were selected by standard deviation law and factor variables were selected by the method of principal components analysis, stepwise and enter regression analysis. The forecast precision of the model is 87.35%.

样本数据筛选采用标准差法，因子变量筛选采用主成分因子分析法、多元线性回归的逐步回归和强行进入法等方法，建立的多元回归模型预测总体精度达到87.35%。

The questionnaire method and the interview menthod were used to gain the tourist data, the quota sampling method was used in sampling survey, the principal component analysis method was used to measure the various variables, the statistical methods such as linear regression analysis, multivariate linear regression analysis, single factor variance analysis and logistic regression analysis were used to analyzes the relationship between various variables.

具体来说，在获取游客数据时采用了问卷调查法和访谈法，在抽样调查时采用了配额抽样方法；对各变量进行测度时使用了主成分分析法；在分析各变量之间相互关系时采用一元线性回归分析、多元线性回归分析、单因素方差分析及Logistic回归分析等统计方法。

On the basis of the theoretic analysis, this paper regards to the swatch of the listed corporate of our country in Shanghai Stock Exchange from 2002 to 2004, and sets up the model by linear regression and non-linear regression to analysis the listed company performance index sign and the financing structure, and carries through supposing examination, draws the conclusions:(1) The creditor's rights takes on the characteristic of a soft control and infirmness in the Chinese listed company governance, without bringing into play an obligatory function, the liability financing exists the best financing zone.

在理论分析的基础上，本文以2002―2004年度我国沪市上市公司为样本展开实证研究，采用线性回归和非线性回归、一元回归和多元回归等多种方法建立模型，进行上市公司绩效指标与融资结构的回归分析，并进行假设检验，得出如下结论：(1)债权在中国上市公司治理中表现出软约束和弱化的特征，没有发挥出应有的作用，债权融资存在最优融资区间。

The outstanding characteristic of PLS is that it can make the multiple linear regression analysis, the principal components analysis and the canonical correlation analysis combined. In the same arithmetic, it can implement modeling, predigesting the data structure and analyzing of the correlation between two gropes of variables at the same time. It brings huge advantage to the multiple linear regression analysis.

PLS的一个突出特点是将多元线性回归分析、变量的主成分分析和变量间的典型相关分析有机地结合起来，在一个算法下，同时实现了回归建模、数据结构简化和两组变量间的相关分析，给多元数据分析带来极大的便利。

Results analysis of data indicated a significant positive correlation among the refraction dioptres of myopia and axis length,vitreous length of eye (standardized coefficients are 0.909 and 0.803,respectively). multiple linear regression analysis of the data showed that vitreous length was the main factor to affected the formation and development of myopia diopter.

结果 眼轴长度（标准化回归系数b'j =0.909）及玻璃体腔长度（标准化回归系数b'j =0.893）均与近视屈光度呈显著正相关；用逐步回归多元线性分析法分析玻璃体腔长度、晶体厚度及前房深度各屈光要素，其中玻璃体腔长度对眼轴长度的影响最大。

SPSS 11.5 software package were applied to analyze the data. Results Analysis of data indicated a significant positive correlation among the refraction dioptres of myopia and axis length,vitreous length of eye (standardized coefficients are 0.909 and 0.803,respectively).

结果 眼轴长度（标准化回归系数b'j =0.909）及玻璃体腔长度（标准化回归系数b'j =0.893）均与近视屈光度呈显著正相关；用逐步回归多元线性分析法分析玻璃体腔长度、晶体厚度及前房深度各屈光要素，其中玻璃体腔长度对眼轴长度的影响最大。

However, the mathematical study of the geology of this area is still lacking. On the basis of geological field survey, we have made systematic sampling and geochemical analyses of the rocks, and systematically studied the relationship between the Cu-Ni variable and the rock-forming element variables by the method of multi-variate...

文中在系统的野外地质调查基础上，进行了系统采样和岩石地球化学分析，应用多元线性回归和逐步回归分析相结合的方法，借助SPSS数学统计软件系统的研究Cu-Ni变量与造岩元素变量的关系，建立Cu-Ni变量与其他变量的回归方程，验证与解释白石泉Cu-Ni硫化物矿床的成因、岩浆来源等问题，对指导找矿勘探有重要作用，对应用数学地质方法有指引作用。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐