Robbie’s class collected the following view tube data in problem 6-1.

1. Use your calculator to make a scatterplot and graph the least squares regression line (LSRL). Sketch the graph and LSRL on your paper. Remember to put a scale on the x-axis and y-axis of your sketch. Write the equation of the LSRL rounded to four decimal places.

   Answer (a):

   See scatterplot at 6-42 Answer eTool (Desmos): $y = 1.6568 + 0.1336x$

2. With your calculator, find the residuals as you did in part (c) of problem 6-33. Make a table with the distance from wall (inches) as the first column, and residual (inches) in the second column. What is the sum of the squares of the residuals?

• Answer (b):

  See table below.
  Use your calculator to find the sum of the squares of the residuals.

  	Distance from wall (in)	Residual (in)
  	$\color{red}{144}$	$\color{red}{-0.198}$
  	$\color{red}{132}$	$\color{red}{0.305}$
  	$\color{red}{120}$	$\color{red}{-0.391}$
  	$\color{red}{96}$	$\color{red}{0.316}$
  	$\color{red}{84}$	$\color{red}{0.219}$
  	$\color{red}{72}$	$\color{red}{0.123}$
  	$\color{red}{60}$	$\color{red}{-0.374}$