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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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Preview: jump xxxxxxxx and xxxx length? (1 xxxxxxxxxxxxx proportion of xxx variation xx xxxxxxx jump xxxxxxxxx can be xxxxxxxxx by the xxxxxx relationship xxxxxxx xxxx distance xxx frog length xx 0 079How xxxxx you xxxxxxx xxxx a xxxxxx regression analysis xx appropriate for xxxx data? xxxxxxxxxxxxxx xx see xxxx R2 value( xx value lies xxxxxxx 0 xxx xx is xxxx about 1 xxxx the linear xxxxxxxxxx equation xx xxxxxxxxxxx but xx our problem xx see that xxxx 079 xxxxx xxxx low xxxxxxxxx we can xxx that our xxxxxxxxxx.....
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