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Tail-Feather Length in Birds Is Sometimes a Sexually Dimorphic Trait

Question 30

Multiple Choice

Tail-feather length in birds is sometimes a sexually dimorphic trait. That is, the trait differs substantially for males and for females. Researchers studied the relationship between weight (x) and tail-feather length (y) in a sample of five wild male long-tailed finches. Here are the data:
Suppose the measurements were switched so that tail length was treated as an explanatory variable rather than a response variable. How would this switch affect the correlation?
 weight (g)  tail length (mm) 20.882.519.182.515.967.016.770.515.773.5\begin{array} { c c } \text { weight } ( \mathrm { g } ) & \text { tail length } ( \mathrm { mm } ) \\20.8 & 82.5 \\19.1 & 82.5 \\15.9 & 67.0 \\16.7 & 70.5 \\15.7 & 73.5\end{array}


A) The correlation coefficient would switch signs.
B) The correlation coefficient would not make any sense because tail length is the explanatory variable.
C) The correlation coefficient would have a completely different magnitude.
D) The correlation coefficient would remain unchanged.

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