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

Question 16

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 and software output:
 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} Simple linear regression results:
Dependent Variable: tail length
Independent Variable: weight
tail length =25.547393+2.8147736= 25.547393 + 2.8147736 weight
Sample size: 5
RR (correlation coefficient ) =0.88813734) = 0.88813734
Rsq=0.78878793\mathrm { R } - \mathrm { sq } = 0.78878793
Estimate of error standard deviation: 3.74116563.7411656

Parameter estimates:

 Parameter  Estimate  Std. Err.  Alternative  DF  T-Stat  P-value  Intercept 25.54739314.928136031.71135850.1855 Slope 2.81477360.84093435033.34719790.0442\begin{array}{|l|c|c|r|r|r|r|}\hline \text { Parameter } & \text { Estimate } & \text { Std. Err. } & \text { Alternative } & \text { DF } & \text { T-Stat } & \text { P-value } \\\hline \text { Intercept } & 25.547393 & 14.928136 & \neq 0 & 3 & 1.7113585 & 0.1855 \\\hline \text { Slope } & 2.8147736 & 0.84093435 & \neq 0 & 3 & 3.3471979 & 0.0442 \\\hline\end{array} What is the value of the y intercept for the least-squares regression line based on these data?


A) 25.547 mm
B) 25.547 mm/g
C) 2.815 g/mm
D) 2.815 mm/g

Correct Answer:

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