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Learning Math Home
Data Session 7, Part C: Modeling Linear Relationships
 
Session 7 Part A Part B Part C Part D Homework
 
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Session 7 Materials:
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Session 7, Part C:
Modeling Linear Relationships (35 minutes)

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

In Parts A and B, you confirmed that there is a strong positive association between height and arm span. In Part C, we will investigate this association further. Note 2

The drawing below suggests that a person's arm span should be the same as her or his height -- in which case, a person could be considered a "square." Is this correct?

Ask a Question
Do most people have heights and arm spans that are approximately the same? That is, are most people "square?"

Problem C1

Solution  

Why is this not the same as establishing an association between height and arm span?


 
 

Collect Data
We'll use the same set of measurements for 24 people:

Person #

Arm Span

Height

1

156

162

2

157

160

3

159

162

4

160

155

5

161

160

6

161

162

7

162

170

8

165

166

9

170

170

10

170

167

11

173

185

12

173

176

 

Person #

Arm Span

Height

13

177

173

14

177

176

15

178

178

16

184

180

17

188

188

18

188

187

19

188

182

20

188

181

21

188

192

22

194

193

23

196

184

24

200

186


 

Problem C2

Solution  

Analyze the data
Compare the measurements for the six heights and arm spans you collected, including your own. How many people are "squares" -- i.e., their arm spans and heights are the same? For how many people are these measurements approximately the same?


 
 

To measure the differences between height and arm span, let's look at the numerical differences between the two. In these problems, we will use "Height - Arm Span" as the measure of the difference between height and arm span.


 

Problem C3

Solution  

Consider the difference:

Height - Arm Span

a. 

If you know only that this difference is positive, what does it tell you about a person? What does it not tell you?

b. 

If you know that this difference is negative, what does it tell you? What does it not tell you?

c. 

If you know that this difference is 0, what does it tell you?


Next > Part C (Continued): Analyzing the Differences

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