PLEASE HELP MARKING BRENLIEST
Arm Span (inches) Height (inches)
58 60
49 47
51 55
19 25
37 39
44 45
47 49
36 35
41 40
46 50
58 61.

Part Three: The Line of Best Fit
Include your scatter plot and the answers to the following questions in your word processing document:
I ALREADY HAVE THE SCATTER PLOT
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?

In order to find relevant information, draw conclusions, and assist decision-making, data analysis is the process of inspecting, purifying, manipulating and modelling data.

I used arm span as the x-axis and height as the y-axis; arm span is the independent variable because height is typically dependent on arm span. Although the opposite could be argued.

The equation of the line of best fit is y= 12+(7/9)x. To get the slope I used the points (37,39) and (19,25). The slope is therefore 14/18=7/9.

The slope represents that height increases by 7/9 inches when arm span increases by 1 inch. The y-intercept 12 represents roughly the height when the arm size is very small. I tested the residuals of the points (47,49) and (58,61).

The respective predictions are 48.556 and 57.111. The respective residuals are then (49-48.556)=0.444 and (61-57.111)=3.889. It seems that the line models the data well until the x values get larger,

where the performance decreases. The line of best fit with its positive slope indicates that there is a positive correlation between arm span and height.

Using the model, a person with an arm span of 66 inches has a height of 12+(7/9)*66= 63.333 inches.

Therefore A person with 74 inches in height has an estimated arm span of 62*9/7= 79.714 inches.

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