Transcription of Lecture 12 Linear Regression: Test and Confidence Intervals
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Lecture 12 Linear Regression: Test and Confidence IntervalsFall 2013 Prof. Yao Xie, H. Milton Stewart School of Industrial Systems & Engineering Georgia Tech 1 Outline Properties of and as point estimators Hypothesis test on slope and intercept Confidence Intervals of slope and intercept Real example: house prices and taxes 2 1 0 Regression analysis Step 1: graphical display of data scatter plot: sales vs. advertisement cost !!!!!!! calculate correlation 3 Step 2: find the relationship or association between Sales and Advertisement Cost Regression 4 Simple Linear regressionBased on the scatter diagram, it is probably reasonable to assume that the mean of the random variable Y is related to X by the following simple Linear regression model: 5iiiXY ++=10ni,,2,1!
10 Properties of Regression Estimators slope parameter β1 intercept parameter β0 unbiased estimator unbiased estimator 414 CHAPTER 11 SIMPLE LINEAR REGRESSION AND ...
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