Modify the line of best fit for a data set and observe how the residuals and sum of squared residuals change.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
What is the value for the sum of the residuals for the line of best fit? Can you find another line with the same value for this sum? Explain why this is not considered a line of best fit.
How does the sum of the squares of the residuals for the line of best fit and any other line compare?