Group Activity 277 Group Activity Modeling a Linear Equation Materials: Yardstick or other device for making linear measurements Estimated Time: 15–20 minutes Group Size: 3 1. The members of each group should measure the length of their arms (in inches) from elbow to wrist. Record this measurement as x and the person’s height (in inches) as y.Write these values as ordered pairs for each member of the group. Then write the ordered pairs on the board. 2. Next, copy the ordered pairs collected from all groups in the class and plot the ordered pairs. (This is called a “scatter diagram.”) Answers will vary throughout this exercise. 80 Height Versus Arm Length 60 50 3. Select two ordered pairs that seem to follow the upward trend of the data. Using these data points, determine the slope of the line. Slope: 4. Using the data points and slope from question 3, find an equation of the line through the two points. Write the equation in slope-intercept form, y mx b. Equation: 5. Using the equation from question 4, estimate the height of a person whose arm length from elbow to wrist is 8.5 in. 6. Suppose a crime scene investigator uncovers a partial skeleton and identifies a bone as a human ulna (the ulna is one of two bones in the forearm and extends from elbow to wrist). If the length of the bone is 12 in., estimate the height of the person before death.Would you expect this person to be male or female? Humerus Radius Ulna 70 0 2 4 6 8 10 12 14 Height (in.) Arm Length (in.) 40 30 20 10 0 y x
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