Question
Arm Length (cm) Height (cm) 31 170 21 165 24 170 23 160 23.2 157.48 24.5 160.02 28 170.18 24.13 158.75 26.5 184 28 175
Arm Length (cm) Height (cm) 31 170 21 165 24 170 23 160 23.2 157.48 24.5 160.02 28 170.18 24.13 158.75 26.5 184 28 175 22.86 170.18 22.86 152 21 152.4 25.4 180 27.93 181.2 22.9 165.1 25.4 175.26 30.48 172.7 19 172.72 27.3 161.3 26.8 188 25 167 24.638 162.56 26.67 167.64
| Arm Length (cm) | Height (cm) |
| 31 | 170 |
| 21 | 165 |
| 24 | 170 |
| 23 | 160 |
| 23.2 | 157.48 |
| 24.5 | 160.02 |
| 28 | 170.18 |
| 24.13 | 158.75 |
| 26.5 | 184 |
| 28 | 175 |
| 22.86 | 170.18 |
| 22.86 | 152 |
| 21 | 152.4 |
| 25.4 | 180 |
| 27.93 | 181.2 |
| 22.9 | 165.1 |
| 25.4 | 175.26 |
| 30.48 | 172.7 |
| 19 | 172.72 |
| 27.3 | 161.3 |
| 26.8 | 188 |
| 25 | 167 |
| 24.638 | 162.56 |
| 26.67 | 167.64 |
Module 2 Project Part B
Examining the Relationship Between Arm Length and Height
This activity uses arm length and height data collected from your class to determine a linear model. You will create a scatter diagram, find a regression equation, and then use the equation to make predictions.
- Enter the data provided into lists in StatCrunch.
- Work on a scatter diagram of the paired data and record ithere.
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- From the scatter diagram, does there appear to be a relationship between forearm length andheight?
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- If so, describe the relationship. Does it appear to be linear? Does it appear strong or weak? Does there appear to be a positive or negative association between the two variables?
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- Find the value of the linear correlation coefficient for this data and provide aninterpretation.
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- Find the least-squares regression line that relates forearm length and height. State the equation and graph the line on the scatter diagram.
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- Explain what the -intercept of the regression line means in thiscontext.
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- Explain what the slope of the regression line means in thiscontext.
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- Calculate the following:
- Use the regression equation to find your predicted height for your forearm length.
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- Calculate the difference between your actual height and the height predicted by the regression equation.
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- What is this differencecalled?
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- Use the regression equation to predict the height of someone with a 6-inch long forearm. Is your value reasonable? Explain why or whynot.
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Understanding Basic Statistics
Authors: Charles Henry Brase, Corrinne Pellillo Brase
6th Edition
978-1133525097, 1133525091, 1111827028, 978-1133110316, 1133110312, 978-1111827021
