Question

FOR A MEDAL/FAN

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.

Answer 1

well, what are the variables

Answer 2

one sec

Answer 3

well, what do you think it is

Answer 4

Honestly i have no idea.

Answer 5

should i pick random points on the line

Answer 6

maybe if you want

Answer 7

what would u do

Answer 8

Actually im not that sure I havent seen this type of problem but I have done this before

Answer 9

Ok

Answer 10

what grade are you in

Answer 11

8th

Answer 12

let me get someone

Answer 13

ok

Answer 14

thank you

Answer 15

@iGreen can you help

Answer 16

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.

You will need to collect data from 11 people, which will give you 12 data points including your own personal data. You will turn in and answer questions regarding only one scatter plot if doing the project alone.

Part One: Measurements

Measure your own height and arm span (from finger-tip to finger-tip) 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. Use the "Data Record" to help you complete Part Two of this project.
Measure eleven additional people, and record their arm spans and heights in inches.
Part Two: Representing Data with Plots

Using GeoGebra or graphing software of your choice, create a scatter plot of your data. Predict the line of best fit, and sketch it on your graph. Then, use the software to make a box plot.
Note: Directions for downloading and using GeoGebra can be found in the "Course Information area."
Copy and paste your scatter plot and box plot into a word processing document.
Part Three: The Line of Best Fit

Include your scatter plot, box 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.

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
y
1
m
x
x
1
. 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? 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.

Answer 17

Thats everything.

Answer 18

But I'm on part 3 already

Answer 19

the first two r done

Answer 20

wait he just went offline @AnswerMyQuestions can you help

Answer 21

ok

Answer 22

@mathmale

Answer 23

What do you need help with?

Answer 24

This problem I'm doing

Answer 25

this hard question

Answer 26

yeah

Answer 27

You have to measure 12 people's arm spans..including your own.

Answer 28

I did. that

Answer 29

And the height of the person.

Answer 30

PAart 3 i have to do

Answer 31

Okay, what are your 12 results? Can you show me them?

Answer 32

Part Three: The Line of Best Fit

Include your scatter plot, box 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.

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
y
1
m
x
x
1
. 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? 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.

Answer 33

Okay, I can do that for you, but I need your points..

Answer 34

67 66.5
61 61
69 69
59 59
54 54
59 59
73 73
63 63
66 66
73 73
57 57
63 63

Answer 35

Best Line of Fit: y= 0.9959x + 0.218

Answer 36

Yes. thats what i got

Answer 37

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.

But what is it asking for here

Answer 38

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.

It's asking did you use arm span for the x-value or did you use it for the y-value?

Answer 39

Since they are all the same what should i do lol

Answer 40

O

Answer 41

ok.

Answer 42

Just say that you used the arm span for x-value, and you used height for y-value.

Answer 43

the y is the height

Answer 44

ok.

Answer 45

can u help me with more.

Answer 46

Just say you used (57, 57) and (66, 66) for the line of best fit.

To find the slope use the formula: \(m = \dfrac{y_2-y_1}{x_2-x_1}\)

\(m = \dfrac{y_2-y_1}{x_2-x_1}\)

Plug in the points:

\(m = \dfrac{66-57}{66-57}\)

Subtract:

\(m = \dfrac{9}{9}\)

Divide:

\(m = 1\)

Answer 47

ok.

Answer 48

does that answer this
'
Which two points did you use to draw the line of best fit?

Answer 49

it does

Answer 50

Yep, it does.

Answer 51

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

Slope represents the average rate between all the points. y-intercept represents where the line crosses on the y-axis.

Answer 52

Ok and this

Write the equation of the line passing through those two points using the point-slope formula
y
y
1
m
x
x
1
. Show all of your work. Remember to find the slope of the line first.

Answer 53

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?

It's 66..you even have it in your data. Lol.

Answer 54

I already did that.

Answer 55

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?

The answer's gonna be about 74.

If someone was deformed they might have different lengths.

Answer 56

Ok yeah truelol

Answer 57

not lol to deformed