Explanatory Power and Statistical Significance

Very little explanatory power is required in order for regressions to exhibit statistical significance. This article discusses some of the causes and implications.     

Simulation in the Simple Linear Regression Model

This article presents an activity which simulates the linear regression model in order to verify the probabilistic behaviour of the resulting least‐squares statistics in practice.     

A Multiple Regression Project

The number of calories in a serving of a food item may be determined from the amount of fat, protein, and carbohydrates it contains. Students can uncover this relationship by collecting food data and then performing a multiple regression.     

多元回归与灰关联数学模型应用之比较

用多元回归与灰关联方法对跳高成绩进行分析比较,指出了应用这二种数学方法在解决体育具体问题时应满足的条件及其局限性,旨在为体育工作者提供可靠的系统分析方法作参考。     

Illustrating Regression Concepts

Modern microcomputers offer attractive possibilities to illustrate various concepts related to regression. In this article we describe how this can be achieved.     

Regression Models with Errors in the Predictor Variable

In this article Simon Day describes a computer simulation exploring one of the fundamental assumptions of regression analysis which causes students difficulties.     

权回归模型下几种估计性能的比较

在给定的权回归模型下,讨论了最小二乘估计、最优加权最小二乘估计和线性无偏最小方差估计的性能比较,得出了在随机误差方差矩阵可逆条件下,可算出最优加权最小二乘估计与线性无偏最小方差估计误差方差阵的差表达式,并在一定条件下,两者趋于一致。     

Regression through the Origin

This article describes situations in which regression through the origin is appropriate, derives the normal equation for such a regression and explains the controversy regarding its evaluative statistics. Differences between three popular software packages that allow regression through the origin are illustrated using examples from previous issues of Teaching Statistics.     

非参数回归模型的模型检验

在此考虑非参数回归模型的模型检验问题.基于Plug-in经验似然方法,构造经验似然比检验统计量.证明其满足Wilks’现象,而得到了一定显著性水平的拒绝域.最后通过数据模拟,讨论了其检验功效.     

Correlation and Regression using QUEST

This article provides a report on how a commonly availbale chemical database and the graphical utilities of a database management system were used to generate discussion when introducing the topics of correlation and regression to sixth form pupils.     

约束线性回归模型回归系数的广义条件岭估计

对齐次等式约束线性回归模型回归系数的岭估计进行推广,得出广义条件岭估计．证明了在一定的条件下,在均方误差矩阵、均方误差及广义均方误差意义下广义条件岭估计都优于约束最小二乘估计,并且证明了广义条件岭估计是回归系数的可容许估计．     

E-游戏化教学模式构建

充分挖掘E-游戏的教育潜力,开展E-游戏化教学是顺应时代发展的要求。根据E-游戏化教学中E-游戏与教学呈现的两种状态,即结合和融合,建构四种模式:E-游戏探究模式、E-游戏练习模式、E-游戏导学模式、E-游戏社区模式,每种模式有各自的特点和实践流程。     

非齐次等式约束线性回归模型回归系数的广义条件岭估计

时非齐次等式约束线性回归模型回归系数提出广义条件岭估计.证明了在一定的条件下,在均方误差矩阵、均方误差及广义均方误差意义下,广义条件岭估计都优于约束最小二乘估计和狭义条件岭估计.     

两个回归模型的比较

证明了在经典线性回归中 ,对同一组样本数据选取不同变量时 ,所得两条回归直线不重合 ,得出了这两条回归直线都通过点 ( x,y)及两直线夹角的正切计算公式 ,讨论了样本相关系数与回归直线的位置关系     

网络环境下大学教学模式研究

网络技术是现代教育技术领域中的前沿技术,因其具有资源共享性、虚拟性和交互性等特点而成为21世纪的主流.本文分析了网络教育环境下高校教学面临的挑战及存在的问题,提出必须按照新的教育思想,在科学的教学理论的指导下,根据知识经济时代对人才的素质要求,优化高校教学模式.     

Regression Analysis and the Sociological Imagination

Regression analysis is an important aspect of most introductory statistics courses in sociology but is often presented in contexts divorced from the central concerns that bring students into the discipline. Consequently, we present five lesson ideas that emerge from a regression analysis of income inequality and mortality in the USA and Canada.