Refer to the African Zoology (Oct. 2013) study of giraffe eye characteristics, Exercise 11.71 (p. 615). Recall that the researchers fit a simple linear regression equation of the form ln (y) = β0 + β1 ln (x) + (, where y represents an eye characteristic and x represents body mass (measured in kilograms).
a. For the eye characteristic y = eye mass (grams), the regression equation yielded r2 = .948. Give a practical interpretation of this result.
b. Refer to part a above and Exercise 11.71 part a. Find the value of the correlation coefficient, r, and interpret its value.
c. For the eye characteristic y = orbit axis angle (degrees), the regression equation yielded r2 = .375. Give a practical interpretation of this result.
d. Refer to part c above and Exercise 11.71 part b. Find the value of the correlation coefficient, r, and interpret its value.