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 |
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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