Tail-feather length in birds is sometimes a sexually dimorphic trait. That is, t

Question

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 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 represented in the following scatterplot, along with the least-squares regression line equation and the square of the correlation coefficient (R2).

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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. 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 represented in the following scatterplot, along with the least-squares regression line equation and the square of the correlation coefficient (R2). 110 T 100 90 80 2 70 60 y-28299x+35.738 R,-0.2133 50 12 14 16 18 20 22 What is the value of the slope for the male regression line? 35.738 mm/g 2.8299 mm/g 2.8299 g/mm 35.738 g/mm

Explanation / Answer

Solution-

A. Regression equation for males is- '

Y = 2.8299 * X + 35.738

So Slope = 2.8299

B. Regression equation is- '

Y = 2.8299 * X + 35.738

Value of slope = 2.8299, which means that when X (bird weight) increases by 1 gm, thenY ( feather length) increases by 2.8299 mm.

C. Regression equation for females is- '

Y = 2.8299 * X + 35.738

hence slope = 2.8299 is same as of males

Answers

TY!

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