4. Is there a relationship between wing length and tail length in birds? Assume that the data meet the assumptions of an

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4 Is There A Relationship Between Wing Length And Tail Length In Birds Assume That The Data Meet The Assumptions Of An 1 (38.64 KiB) Viewed 81 times

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4. Is there a relationship between wing length and tail length in birds? Assume that the data meet the assumptions of any parametric test you plan to conduct. 8.2 T 8.0 Wing length (cm) Tail length (cm) 10.4 7.4 10.8 7.6 11.1 7.9 10.2 7.2 10.3 7.4 10.2 7.1 10.7 7.4 10.5 10.8 10.2 7.7 10.6 7.8 11.4 8.3 7.8 O Tail Length (cm) O 7.5 0 7.2 7.8 74 O 7.2 o o T 102 10.4 10.6 10.8 11.0 11.2 11.4 Wing Length (cm) EXX - X)(Y. -Y) = 1.19 2/X - X) = 1.60 (Y-Y) - 1.35 a. Calculate the correlation coefficient using the information above (1 point] b. What percent of the variation in tail length can be explained by variation in wing length? Show your work and clearly state your conclusion using a complete sentence. [2 points)
c. Clearly state the null and alternate hypotheses you would use to test whether there is a significant correlation between tail and wing length. You don't need to use complete sentences, but you must use numbers in your answer. [2 points) d. Conduct a formal test of your hypotheses for part c, above. (2 points) e. After conducting the above test correctly, you obtain a P value of 0.001. Clearly state your conclusion and how you came to that conclusion. [2 points total) f. Assume we were interested in determining whether we could predict tail length from wing length. 1) Draw a CIRCLE around the data point that would yield the largest residual value. (1 point) ii) Draw a SQUARE around a data point that would yield a residual value close to zero but negative. [1 point)