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

Question 38

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Tail-feather length in birds is sometimes a sexually dimorphic trait; that is, the trait differs substantially for males and for females of the same species. Researchers studied the relationship between tail-feather length (measuring the R1 central tail feather) and weight in a sample of 20 male long-tailed finches raised in an aviary. The data are displayed in the scatterplot below, followed with software output about the least-squares regression model of feather length as a function of weight.
 Tail-feather length in birds is sometimes a sexually dimorphic trait; that is, the trait differs substantially for males and for females of the same species. Researchers studied the relationship between tail-feather length (measuring the R1 central tail feather)  and weight in a sample of 20 male long-tailed finches raised in an aviary. The data are displayed in the scatterplot below, followed with software output about the least-squares regression model of feather length as a function of weight.   ​ ​  \begin{array}{l} \begin{array} { l  l r }  \hline &\text {Coefficients }&\text {Standard Error }\\ \hline\text {Intercept }&35.7379 & 21.0523 \\ \text { Bird-weight}&2.8299 & 1.2811\\ \hline\text {R Square }&0.2133\\ \text {Standard Error }&\ 10.5270\ \end{array} \end{array}  What does the standard error value of 10.5270 represent? A) An estimate of the standard deviation σof the deviations about the mean in the linear regression model B) The population standard deviationσ of the deviations about the mean in the linear regression model C) The sample standard deviation of the feather lengths D) The sample standard deviation of the feather lengths divided by √n

\begin{array}{l}\begin{array} { l l r } \hline &\text {Coefficients }&\text {Standard Error }\\\hline\text {Intercept }&35.7379 & 21.0523 \\\text { Bird-weight}&2.8299 & 1.2811\\\hline\text {R Square }&0.2133\\\text {Standard Error }&\ 10.5270\\end{array}\end{array} What does the standard error value of 10.5270 represent?


A) An estimate of the standard deviation σof the deviations about the mean in the linear regression model
B) The population standard deviationσ of the deviations about the mean in the linear regression model
C) The sample standard deviation of the feather lengths
D) The sample standard deviation of the feather lengths divided by √n

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