Lecture 9 Simple Linear Regression 第九章 简单线性回归分析课件.ppt

Lecture 9_Simple Linear Regression 第九章 简单线性回归分析课件Chapter12SimpleLinearRegressionBusinessStatistics:AFirstCourseFifthEditionChap12-1BusinessStatistics:AFirstCourse,5e©2009Prentice-Hall,,youlearn:HowtouseregressionanalysistopredictthevalueofadependentvariablebasedonanindependentvariableThemeaningoftheregressioncoefficientsb0andb1HowtoevaluatetheassumptionsofregressionanalysisandknowwhattodoiftheassumptionsareviolatedTomakeinferencesabouttheslopeandcorrelationcoefficientToestimatemeanvaluesandpredictindividualvalues*BusinessStatistics:AFirstCourse,5e©2009Prentice-Hall,Inc..(linearrelationship)*BusinessStatistics:AFirstCourse,5e©2009Prentice-Hall,Inc..IntroductiontoRegressionAnalysisRegressionanalysisisusedto:PredictthevalueofadependentvariablebasedonthevalueofatleastoneindependentvariableExplaintheimpactofchangesinanindependentvariableonthedependentvariableDependentvariable:thevariablewewishto predictorexplainIndependentvariable:thevariableusedtopredict orexplainthedependent variable*BusinessStatistics:AFirstCourse,5e©2009Prentice-Hall,Inc..SimpleLinearRegressionModelOnlyoneindependentvariable,XRelationshipbetweenXandYisdescribedbyalinearfunctionChangesinYareassumedtoberelatedtochangesinX*BusinessStatistics:AFirstCourse,5e©2009Prentice-Hall,Inc..TypesofRelationshipsYXYXYYXXLinearrelationshipsCurvilinearrelationships*BusinessStatistics:AFirstCourse,5e©2009Prentice-Hall,Inc..TypesofRelationshipsYXYXYYXXStrongrelationshipsWeakrelationships(continued)*BusinessStatistics:AFirstCourse,5e©2009Prentice-Hall,Inc..TypesofRelationshipsYXYXNorelationship(continued)*BusinessStatistics:AFirstCourse,5e©2009Prentice-Hall,Inc..ponentSimpleLinearRegressionModelPopulationYinte