There are many measurements of the human body that are positively correlated. For example, the length of one's forearm (measured from elbow to wrist) is approximately the same length as the foot (measured from heel to toe). They are positively correlated because, as one measurement increases, so does the other measurement. You will discover through this project whether a human's arm span (measured across the body with the arms extended) is correlated to his height.

(I included a chart of data for 10 students below in a picture, if you are confused about the assignment the entire thing is listed in pictures below aswell, im giving 30 points so please can you add a description or detail to how you got the answer? i want to learn how to solve the equation myself im just having a lot of trouble)

1. Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.

2. Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.

3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?

4. Test the residuals of two other points to determine how well the line of best fit models the data. Use the line of best fit to help you to describe the data correlation.

5. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?

6. According to your line of best fit, what is the arm span of a 74-inch-tall person?