I read that there was a relationship between the distance around your waist and the distance around your neck. Since we have a set of data to help us explore this possible relationship, let’s!

• Run the OOB program and look at the List Editor to locate the two lists of interest.
• Place the list side-by-side and examine them. What pattern do you see between these two lists?
• Now we want to sort the lists. Since the raw data is stored in the program OOB, we can just sort these lists without copying them to a "safe" location. Remember these are pairs, so they must be sorted together.
• Now examine these two sorted lists and state the pattern you see.
• Identify the maximum, minimum, mean and median for the two lists. Use these values to test out the pattern you observed above.
• Set up a Scatter Plot of the list with the x-axis being the Neck list and the Waist list for the y-axis.
• Place the following in the Y= editor. Y=AX+B
• In the Home screen assign the following starting values. 1=A and 0=B.
• Look at the Graph and see if the line goes through the collection of points.
• Adjust the values of A and B until you get a good fit. Use the "pattern" that you saw when you examined the two lists to help you adjust the values.
• Report your best guess using the equation: W = AN + B where N is the Neck length and W is the Waist length.
• Have the computer calculate the line using the LinReg and the Median-Median options.
• Of the three lines (Your guess, LinReg, Median-Median), which "tells the story" best? Why?
• Set your window so that you may see the Origin (i.e. set Xmin = 0 and Ymin = 0). Now which line seems best?
• Using all three Methods (Graph, Table, and Solver) answer the following:
  What will the Neck length be when a person has a Waist of 32 inches?
  Recall 1 inch = 2.54 centimeters.
• Which model is this (from the 7 Systemic Parts of Algebra)?
• How could you use this new rule that shows the relationship between the length of your neck and the waist?