Session 7, Part C:
Modeling Linear Relationships

In This Part: How Square Can You Be? | Analyzing the Differences | Using a Scatter Plot

Here again is the data table for the 24 people we have been studying -- but it now includes a column to show the difference between height and arm span for each person:

#

Arm Span

Height

Height - Arm Span

 1 156 162 6 2 157 160 3 3 159 162 3 4 160 155 -5 5 161 160 -1 6 161 162 1 7 162 170 8 8 165 166 1 9 170 170 0 10 170 167 -3 11 173 185 12 12 173 176 3

#

Arm Span

Height

Height - Arm Span

 13 177 173 -4 14 177 176 -1 15 178 178 0 16 184 180 -4 17 188 188 0 18 188 187 -1 19 188 182 -6 20 188 181 -7 21 188 192 4 22 194 193 -1 23 196 184 -12 24 200 186 -14

Problem C4

Let's consider five of the people we have studied: Persons 1, 6, 9, 14, and 19. Use the table to determine the following:

 a. Which of the five people have heights that are greater than their arm spans? b. Which of the five people have heights that are less than their arm spans? c. Which of the five has the greatest difference between height and arm span? d. Which of the five has the smallest difference between height and arm span?

Problem C5

Use the table to determine the following:

 a. How many of the 24 people have heights that are greater than their arm spans? b. How many of the 24 people have heights that are less than their arm spans? c. How many of the 24 people have heights that are equal to their arm spans? d. Which six people are the closest to being square without being perfectly square? e. Which five are the farthest from being square?

Problem C6

 a. How many of the 24 people have heights and arm spans that differ by more than 6 cm? b. How many people have heights and arm spans that differ by less than 3 cm?

Session 7: Index | Notes | Solutions | Video