Linear Regression Analysis Formula. The line of best fit is described by the equation ŷ bx a where b is the slope of the line and a is the intercept i e the value of y when x 0. Answer the linear regression equation.
The two factors that are involved in simple linear regression analysis are designated x and y. Y β0 β1x ε. Nonlinear regression analysis is commonly used for more complicated data sets in which the dependent and independent variables show a nonlinear relationship.
The equation that describes how y is related to x is known as the regression model.
The equation that describes how y is related to x is known as the regression model. For our example the linear regression equation takes the following shape. Y β0 β1x ε. This simple linear regression calculator uses the least squares method to find the line of best fit for a set of paired data allowing you to estimate the value of a dependent variable y from a given independent variable x.