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Unformatted text preview: Introduction Data Regression Line Population Regression Random Sample Estimation Econ 103, UCLA, Fall 2010 Introduction to Econometrics Lecture 3: Simple Regression Sarolta Laczó September 30, 2010 Introduction Data Regression Line Population Regression Random Sample Estimation Introduction Regression Analysis : The study of the relationship between one variable ( dependent variable ) and one or more other variables ( independent, or explanatory, variables ). Simple Regression: Linear regression model with one regressor Multiple Regression: Linear regression model with more than one regressors Introduction Data Regression Line Population Regression Random Sample Estimation Introduction/2 What do we use regression analysis for? To estimate the mean or average value of the dependent variable, given the values of the independent variables. What is the average income for people with a high school diploma? What is the average income for people with a college degree? To test a hypothesis implied by economic theory If we increase the price will the quantity demanded fall? To predict, or forecast, the mean value of the dependent variable given the independent variables. What will happen to GDP if we change the interest rate? Introduction Data Regression Line Population Regression Random Sample Estimation Introduction/3 We will go through the steps of regression analysis with a specific example in mind. General question of interest: What is the relationship between class size and education outcomes? Specific question: What is the quantitative effect of increasing (or reducing) class size by one student on standardized test scores for 5 th graders? Introduction Data Regression Line Population Regression Random Sample Estimation Data Consider data from a random sample of n = 420 California school districts. Variables recorded for each district: Average standardized test score in that district Studentteacher ratio (STR) in that district (that is, average class size) When looking at the relationship between 2 variables, it is always good to start by looking at a scatterplot . Introduction Data Regression Line Population Regression Random Sample Estimation Data/2 Introduction Data Regression Line Population Regression Random Sample Estimation Regression Line/1 Recall that we are interested in the effect of a one unit increase in...
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 Spring '07
 SandraBlack
 Linear Regression, Regression Analysis, Yi, Ordinary least squares, population regression

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