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Mathematics, 19.04.2021 16:50 lemusanaisabel6064

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Arm Span in Inches (x)

Height in Inches (y)

Student 1

65

66

Student 2

58

57

Student 3

61.5

61

Student 4

75

75

Student 5

61.75

62

Student 6

64

63

Student 7

71

68

Student 8

77

78

Student 9

65

66

Student 10

44

48

Yourself

80

79

Family/Friend

62

61

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. (Refer to Lesson- PAGE 3, the “Marathon” example, to determine the “Determine the Line of Best Fit” tab for help on choosing two points, finding slope and writing the equation of your best fit line) 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?

Bonus: 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. (positive, negative, or no correlation)

According to your line of best fit (equation) that you found in, Question 2, approximate how tall is a person whose arm span is 66 inches? Show work using your equation in Question 2 to support.

According to your line of best fit, what is the arm span of a 74-inch-tall person? Show work using your equation in Question 2 to support.


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