The regression equation The regression equation A regression equation is used to define the relationship between two variables. It These represent the following: takes the form a or A=Constant value. It is the value at which the line intersects the Y=a+bX bor A Contant vale It is the slope(or gradient)or the ne. It represents the change in Y for each inerease or decrease nX. Y=B0+B1X1+8 I= The value of the x variable for each case The regression equation Scatterplot and regression ine They are essentially the same, except that the second includes an error term at the end. This error term indicates that what we Change in Y s 1o have is in fact a model and hence won t fit the data perfectly3 5 The regression equation A regression equation is used to define the relationship between two variables. It takes the form: or 6 The regression equation They are essentially the same, except that the second includes an error term at the end. This error term indicates that what we have is in fact a model, and hence won't fit the data perfectly. 4 7 The regression equation 8 Scatterplot and regression line 0 10 20 30 40 50 60 70 012345 X YChange in X is 1 Change in Y is 10 Intercept is 20