l Simple linear regression model Probabilistic Model: yi=B0+ Bx;+ a where yi=a value of the dependent variable, y x i=a value of the independent variable, x Bo= the y-intercept of the regression line Bi=the slope of the regression line 8= random error the residual Deterministic model: botb where and ii is the predicted value of y in contrast to the actual value of 1/ o 2002 The Wadsworth GroupSimple Linear Regression Model • Probabilistic Model: yi = b0 + b1xi + ei where yi = a value of the dependent variable, y xi = a value of the independent variable, x b0 = the y-intercept of the regression line b1 = the slope of the regression line ei = random error, the residual • Deterministic Model: = b0 + b1xi where and is the predicted value of y in contrast to the actual value of y. y ? i b 0 b 0 , b 1 b 1 y ? i © 2002 The Wadsworth Group