Regression Line and Sum Of Squares

Moving sliders a1 and b1, create a line that you think best explains the association between the explanatory and independent variable. Why do you think your line is the best representation of the association?

Compare and contrast your line with a classmate What are the similarities and differences between your lines?

As you move the regression line the squares are changing. The side length of these squares is called a residual. How is the applet creating these “residuals”?

Click on the “Show Sum of Squares (Error)”. How is the applet calculating the “Sum of Squares (Error)” value?

What line do you think is the line of best fit? Use the features of this applet to justify your answer.