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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