Transcription of Chapter 9 Simple Linear Regression - CMU Statistics
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Chapter 9 Simple Linear Regression - CMU Statistics
Chapter 9 Simple Linear RegressionAn analysis appropriate for a quantitative outcome and a single quantitative ex-planatory The model behind Linear regressionWhen we are examining the relationship between a quantitative outcome and asingle quantitative explanatory variable, Simple Linear Regression is the most com-monly considered analysis method. (The Simple part tells us we are only con-sidering a single explanatory variable.) In Linear Regression we usually have manydifferent values of the explanatory variable, and we usually assume that valuesbetween the observed values of the explanatory variables are also possible valuesof the explanatory variables. We postulate a Linear relationship between the pop-ulation mean of the outcome and the value of the explanatory variable.
Chapter 9 Simple Linear Regression An analysis appropriate for a quantitative outcome and a single quantitative ex-planatory variable. 9.1 The model behind linear regression When we are examining the relationship between a quantitative outcome and a single quantitative explanatory variable, simple linear regression is the most com-
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