Chapter 9 Simple Linear Regression
Chapter 9. Simple Linear Regression An analysis appropriate for a quantitative outcome and a single quantitative ex- planatory variable. 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- monly considered analysis method. (The Simple part tells us we are only con- sidering a single explanatory variable.) In Linear Regression we usually have many different values of the explanatory variable, and we usually assume that values between the observed values of the explanatory variables are also possible values of the explanatory variables.
214 CHAPTER 9. SIMPLE LINEAR REGRESSION x is coefficient. Often the “1” subscript in β 1 is replaced by the name of the explanatory variable or some abbreviation of it. So the structural model says that for each value of x the population mean of Y
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