Solved

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

Question 37

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} Approximately what percent of variation in tail-feather length can be explained by weight among male long-tailed finches?


A) 62%
B) 79%
C) 89%
D) 94%

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Unlock this Answer For Free Now!

View this answer and more for free by performing one of the following actions

qr-code

Scan the QR code to install the App and get 2 free unlocks

upload documents

Unlock quizzes for free by uploading documents