I JUST NEED HELP WITH THE QUESTIONS!! THE CHART AND GRAPH IS ALREADY FILLED OUT!! :D

Part One: Measurements

Measure your own height and arm span (from fingertip to fingertip) 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 11 additional people and record their arm spans and heights in inches. use the sample data provided in the table.



Arm Span (inches)


58


49


51


19


37


44


47


36


41


46


58


Height (inches)


60


47


55


25


39


45


49


35


40


50


61


Part Two: Representation of Data with Plots


Using graphing software of your choice, create a scatter plot of your data. Predict the line of best fit and sketch it on your graph.


Copy and paste your scatter plot into a word processing document.

-Included in attachment

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Part Three: The Line of Best Fit


Include your scatter plot and the answers to the following questions in your word processing document:


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.


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.


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 Three, Question 2, 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?

I JUST NEED HELP WITH THE QUESTIONS THE CHART AND GRAPH IS ALREADY FILLED OUT DPart One Measurements Measure your own height and arm span from fingertip to fing class=

Respuesta :

From the calculation summary,

  1. The equation of the line of best fit is: [tex]\^y = 0.96\^x + 3.79[/tex]
  2. The slope is 0.96
  3. The y-intercept is 3.79
  4. The heights of people that have arm spans of 66 inches and 74 inches are 67.15 inches and 74.83 inches, respectively.

The equation of the line of best fit

To determine the equation of the line of best fit, we make use of a graphing calculator.

From the graphing calculator, we have the following calculation summary

  1. Sum of X = 486
  2. Sum of Y = 506
  3. Mean X = 44.1818
  4. Mean Y = 46
  5. Sum of squares (SSX) = 1225.6364
  6. Sum of products (SP) = 1171

So, the equation of the line of best fit is:

[tex]\^y = 0.96\^x + 3.79[/tex]

The slope and the y-intercept

A linear regression equation is represented as:

[tex]\^y = m\^x + b[/tex]

Where m represents the slope, and b represents the y-intercept

So, the slope is 0.96 and the y-intercept is 3.79

The heights of people that have arm spans of 66 inches and 74 inches

This means that:

x = 66 and x = 74

When x = 66, we have:

[tex]y = 0.96 * 66 + 3.79 = 67.15[/tex]

When x = 74, we have:

[tex]y = 0.96 * 74 + 3.79 = 74.83[/tex]

Hence, the heights of people that have arm spans of 66 inches and 74 inches are 67.15 inches and 74.83 inches, respectively.

Read more about linear regressions at:

https://brainly.com/question/25987747

Ver imagen MrRoyal