难点：模型拟合时的方差分析、残差分析Focal pointsANOVA and residual analysis知识单元序号：支撑教学目标：41-4, 2-3Knowledge Unit No.SLOs Supported知识单元名称多元线性回归Unit TitleMultiple Linear Regression多维最小二乘法Multidimensional least squares模型假设与统计量Model assumptions and statistical properties模型拟合Model fit知识点：模型的选取（向前、向后、逐步回归）Knowledge DeliveryModel selection (forward selection、backward elimination、stepwiseregression)分类预测因子、相互作用效应、偏和平方与F检验categorical predictors、interaction effects、partial sumsquaresandF-test了解：多维数据的最小二乘法RecognizeMultidimensional least squares ofmultipledimensional学习目标：理解：多元线性模型的拟合与检验UnderstandFitting and testing of multivariate linear modelsLearning Objectives掌握：模型的选择方法Master Model selection培养服务意识，具有“以人为本”的服务精神德育目标Cultivate service consciousness and have the service spirit ofMoral Objectives"people-oriented"重点：多元线性模型的拟合与检验Key PointsFitting and testing of multivariate linear models难点：模型的选择方法Focal pointsModel selection知识单元序号：支撑教学目标：51-5, 2-3SLOs SupportedKnowledge Unit No“非线性”线性回归知识单元名称Unit Title"Non-linear"linear regression变换变量Transforming variables知识点：变换自变量Knowledge DeliveryTransforming independent variable变换因变量Transforming dependent variable学习目标：了解：非线性模型；6 /18
6 / 18 难点: Focal points 模型拟合时的方差分析、残差分析 ANOVA and residual analysis 知识单元序号: Knowledge Unit No. 4 支撑教学目标: SLOs Supported 1-4，2-3 知识单元名称 Unit Title 多元线性回归 Multiple Linear Regression 知识点: Knowledge Delivery 多维最小二乘法 Multidimensional least squares 模型假设与统计量 Model assumptions and statistical properties 模型拟合 Model fit 模型的选取(向前、向后、逐步回归) Model selection (forward selection、backward elimination、stepwise regression) 分类预测因子、相互作用效应、偏和平方与 F 检验 categorical predictors、interaction effects、partial sum squares and F-test 学习目标: Learning Objectives 了解: Recognize 多维数据的最小二乘法 Multidimensional least squares of multiple dimensional 理解: Understand 多元线性模型的拟合与检验 Fitting and testing of multivariate linear models 掌握: Master 模型的选择方法 Model selection 德育目标 Moral Objectives 培养服务意识，具有 “以人为本” 的服务精神 Cultivate service consciousness and have the service spirit of "people-oriented" 重点: Key Points 多元线性模型的拟合与检验 Fitting and testing of multivariate linear models 难点: Focal points 模型的选择方法 Model selection 知识单元序号: Knowledge Unit No. 5 支撑教学目标: SLOs Supported 1-5，2-3 知识单元名称 Unit Title “非线性”线性回归 “Non-linear” linear regression 知识点: Knowledge Delivery 变换变量 Transforming variables 变换自变量 Transforming independent variable 变换因变量 Transforming dependent variable 学习目标: 了解: 非线性模型；
Non-linear modelLearning ObjectivesRecognize理解：二次模型和多项式模型UnderstandQuadraticmodels and polynomial models掌握：自变量和因变量的变换；MasterTransformingvariablesanddependentvariable培养服务意识，具有“以人为本”的服务精神德育目标Cultivate service consciousness and have the service spirit ofMoral Objectives"people-oriented"重点：模型的选择Key PointsModel selecting难点：模型的确定与检验Focal pointsModel ftting and examing知识单元序号支撑教学目标：61-6, 2-5Knowledge Unit No.SLOs Supported知识单元名称广义最小二乘法Unit TitleGeneralised Least Squares广义最小二乘法Generalised Least Squares知识点：Knowledge Delivery加权最小二乘法weighted least squares (WLS)了解:广义最小二乘法概念Definition of Generalised Least SquaresRecognize学习目标：理解：广义和加权最小二乘法的实质UnderstandLearning ObjectivesEssence of GLS and WLS掌握：广义和加权最小二乘法MasterGLS and WLS培养有条理和计划，做到心中有数、有条不紊、循序渐进地完成一德育目标项工作Moral ObjectivesCultivate a sense of order and plan, and complete a work in an orderlyand gradual manner重点：广义和加权最小二乘法Key PointsGLS and WLS难点：广义和加权最小二乘法Focal pointsGLS and WLS知识单元序号：支撑教学目标：71-7, 2-1Knowledge Unit No.SLOs Supported知识单元名称分类随机变量分析Unit TitleAnalysisofCategoricalRVs知识点：多维正态分布（多项式分布）Knowledge DeliveryMultinomial distribution7/18
7 / 18 Learning Objectives Recognize Non-linear model 理解: Understand 二次模型和多项式模型 Quadratic models and polynomial models 掌握: Master 自变量和因变量的变换； Transforming variables and dependent variable 德育目标 Moral Objectives 培养服务意识，具有 “以人为本” 的服务精神 Cultivate service consciousness and have the service spirit of "people-oriented" 重点: Key Points 模型的选择 Model selecting 难点: Focal points 模型的确定与检验 Model fitting and examing 知识单元序号: Knowledge Unit No. 6 支撑教学目标: SLOs Supported 1-6，2-5 知识单元名称 Unit Title 广义最小二乘法 Generalised Least Squares 知识点: Knowledge Delivery 广义最小二乘法 Generalised Least Squares 加权最小二乘法 weighted least squares (WLS) 学习目标: Learning Objectives 了解: Recognize 广义最小二乘法概念 Definition of Generalised Least Squares 理解: Understand 广义和加权最小二乘法的实质 Essence of GLS and WLS 掌握: Master 广义和加权最小二乘法 GLS and WLS 德育目标 Moral Objectives 培养有条理和计划，做到心中有数、有条不紊、循序渐进地完成一 项工作 Cultivate a sense of order and plan, and complete a work in an orderly and gradual manner 重点: Key Points 广义和加权最小二乘法 GLS and WLS 难点: Focal points 广义和加权最小二乘法 GLS and WLS 知识单元序号: Knowledge Unit No. 7 支撑教学目标: SLOs Supported 1-7，2-1 知识单元名称 Unit Title 分类随机变量分析 Analysis of Categorical RVs 知识点: Knowledge Delivery 多维正态分布（多项式分布） Multinomial distribution