Question

04.08 Scatter Plots and Lines of Best Fit Project

Assessment Instructions

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.

Answer 1

Step One: Measurements

Measure your own height and arm span in inches. You will likely need some help from a parent, guardian, or sibling to get accurate measurements. Record your measurements on the “Data Record” document. You will not need to submit the “Data Record” document as part of this project. Instead, you will use the record to help you complete part two.
Measure five additional people you know and record their arm spans and heights in inches.
Share the names and measurements of the five people you measured, as well as your own measurements, to your student partner in the class. You may request a method to getting a partner from your teacher. Together you and your partner will have 12 sets of data.
Step Two: Creating Your Scatter Plot

Using GeoGebra or a graphing software of your choice, draw your scatter plot and the line you think represents the line of best fit. Note: Directions for downloading and using GeoGebra can be found in the "Course Information area.”

Both you and your partner need to create a scatter plot of the 12 data points you both collected.
Draw the line that you feel best fits the data.
Copy and paste your scatter plot into a word processing document.
Share and discuss your scatter plot and the line of best fit with your partner. If your scatter plots or lines of best fit are different, discuss reasons why they might be different.
Step Three: The Line of Best Fit

Include your scatter plot and the answers to the following questions in your word processing document and submit to your instructor. Be sure to review how to save your files before getting started. You and your partner are free to discuss this part of the project. However, each of you will be responsible for submitting your own attachment of this file.

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. Remember to find the slope of the line first.
What does the slope of the line represent within the context of your graph?
Using the equation that you found in question 2, approximately 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?

Answer 2

@tito2boo

Answer 3

@Niall

Answer 4

@Potter22

Answer 5

Can you see the problem? @tito2boo

Answer 6

yeah give me a sec @MWill36

Answer 7

okay thx @tito2boo

Answer 8

Dude What is ur question i am confused
ask @tester97

Answer 9

she might know

Answer 10

@tester97

Answer 11

Do you know how to do this @Potter22

Answer 12

Nope

Answer 13

Do you how to do this @tester97

Answer 14

*know

Answer 15

@helpme1.2 @trevorttreesh @Felicia123 @Ashleyisakitty @jim_thompson5910

Answer 16

bruh all u gotta do is measure ur arm span and height in inches and get 5 other peoples height and arm span and then make a scaterplot then add a line of best fit and turn it in