lecture9 - ECO201 Lecture9 RegressionAnalysis PartI...

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ECO 201 Lecture 9 Regression Analysis Part I Microsoft Excel  Worksheet Microsoft Excel  Worksheet
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Chap 13-2 Topics Types of Regression Models Determining the Simple Linear Regression  Equation Measures of Variation
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Chap 13-3 Purpose of Regression Analysis Regression Analysis is Used Primarily to  Model  _________  and Provide  __________ Predict  the values of a dependent (response)  variable based on values of at least one  independent (explanatory) variable Explain the  _____________  of the independent  variables on the dependent variable
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Chap 13-4 Types of Regression Models ________ Linear Relationship ________ Linear Relationship Relationship NOT Linear ___ Relationship
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Chap 13-5 Simple Linear Regression Model Relationship Between Variables is  Described by a  Linear Function The Change of One Variable  Causes  the  Other Variable to Change There is a  ____________ of One Variable on  the Other
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Chap 13-6 Population Regression Line   (conditional mean) Population Linear Regression The  __________________  is a straight line that  describes the dependence of the  average value  average value  (conditional mean) (conditional mean) of one variable on the other   Population  Y   intercept  Population  Slope Coefficient  Random  Error _________   (Explained,  Response,  Predicted Variable), Effect,  Response ____________  (Explanatory, Covariate,  Predictor  Variable), Cause,  Stimulus i i i Y X β ε 0 1 + + = | Y X μ
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Chap 13-7 Population Linear Regression (continued) Y X | Y X i X μ β 0 1 = + i ε 0 1 i i i Y X 0 1 + + = An Observed Value
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Chap 13-8  The sample regression line provides an  ________  of the population regression line as  well as  _____________   of Y Sample Linear Regression Sample Y Intercept Sample Slope Coefficient Residual 0 1 i i i b b Y X e + + = 0 1 ˆ Y b b X = + = Sample Regression Line (Fitted Regression Line, Least Squares Regression Line, Predicted Value)
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Chap 13-9 Sample Linear Regression    and      are obtained by finding the values of         and      that  _________  the  sum of the  squared  _______      and     are computed with the  _____________________      provides an  estimate estimate  of      provides and  estimate estimate  of  0 b 1 b 0 b 1 b 0 b β 0 1 b 1 (continued) ( 29 2 2 1 1 ˆ n n i i i i i Y Y e = = - = 0 b 1 b
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lecture9 - ECO201 Lecture9 RegressionAnalysis PartI...

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