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# Biostats SSC 328M Homework 11

Question # 00012108
Subject: Statistics
Due on: 04/30/2014
Posted On: 04/11/2014 07:19 PM

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Biostats SSC 328M Homework 11

Write your answers onto one or more separate sheets of paper. Clearly mark each sheet with your name, your EID, and your lab section.

Scientists studied the relationship between the length of the body of a bullfrog and how far it can jump. The results are given in the following table:

 Bullfrog Length (mm) Maximum Jump (cm) 1 155 71.0 2 127 70.0 3 136 100.0 4 135 120.0 5 158 103.3 6 145 116.0 7 136 109.2 8 172 105.0 9 158 112.5 10 162 114.0 11 162 122.9 Mean 149.64 103.99 Standard Deviation 14.47 17.94 Correlation 0.28

1. Sketch a scatter plot that predicts a bullfrogs maximum jump based on its body length. (1 pt)

2. Calculate the linear regression equation that predicts a bullfrogs maximum jump based on its body length. Show all of your work and any formulas you use. (2 pts)

3. Within the context of the problem, what does the slope of the regression equation mean? (1pt)

4. If you measured a bull frog with body length 130 mm, and measured its jump distance at 100 cm, what is the residual? (1 pt)

5. What proportion of the variation in maximum jump distances can be explained by the linear relationship between jump distance and frog length? (1 pt)

6. How would you confirm that a linear regression analysis is appropriate for this data? (1pt)

7. Perform a test of correlation to determine if a frogs body length is related to its jump distance. Include all steps in the testing procedure at a 5% level of significance. (3 pts)

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#### Biostats SSC 328M Homework 11

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Posted On: 04/11/2014 07:21 PM
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Biostats_SSC_328M_Homework_11.docx (33.82 KB)
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