Description PART ONE: MEASUREMENTS* *I have already collected all of the measurement data for you.* PART TWO: REPRESENTING DATA WITH PLOTS Using a graphing software of your choice, create a scatter plot of the data. Predict the line of best fit, and sketch it on the graph. Then, use the software to make a box plot. Name Arm span in inches (X-axis) Height in inches(Y-axix) Bella 57 64 Allister 74 72 Siena 57 60 Shanon 62 64 Brisha 62 62 Olivia 63 64 Emily 58 61 Sheylie 67 65 Sophie 69 68 Savannah 70 68 Carolina 62 62 La 71 70 Copy and paste the scatter plot and box plot into a pdf document. PART THREE: THE LINE OF BEST FIT 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. Which two points did you use to draw the line of best fit? Write the equation of the line passing through those two points using the point-slope formula y – y1 = m ( x – x1). Show all of your work. What does the slope of the line represent within the context of your graph? What does the y-intercept represent? 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. Using the line of best fit that you found in Part 3, Question 3, approximate how tall is a person whose arm span is 66 inches? According to your line of best fit, what is the arm span of a 74-inch-tall person? What might cause the arm span and height not to be equal? Explain why the equation you wrote to represent a human’s arm span (measured across the body with the arms extended) is a correlation and not causation.
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