The Data Below Were Gathered on a Random Sample of 7

question 29

Essay

The data below were gathered on a random sample of 7 male banded black-footedalbatrosses of known age. In an effort to monitor diseases of these animals, biologistswould like to be able to estimate the lifespan of healthy albatrosses in the largerpopulation. In males of this species gonad size (the size of the sex gland) isassociated with age. a) What is the value of the correlation coefficient for these data?
b) What is the equation of the least squares line describing the relationship betweenx = Gonad Size and y = Age.c) If these albatrosses are representative of the population of all albatrosses, whatwould you predict to be the age of a male albatross with a gonad size of 50 sq.mm?
Show any calculations below.d) The largest albatross gonad size in the sample, 96 sq mm, is associated with anage of 23.64 years. These animals are thought to live for up to 40 years. Would itbe reasonable to use the equation from part (b) above to predict the age for analbatross with a gonad size of 150 sq mm?
Why or why not?

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