The Data Below Were Gathered on a Random Sample of 7

question 23

Essay

The data below were gathered on a random sample of 7 male black-footed albatrosses of known age. In an effort to monitor diseases of these animals, biologists would like to be able to estimate the age of animals that have died by flattening their gonads and measuring the resulting area. ​
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 between x = Gonad Size and y = Age.
c) If these albatrosses are representative of the population, what would 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 was 96 sq. mm, with an age of 23.64 years. These animals are thought to live for up to 40 years. Would it be reasonable to use the equation from part (b) above to predict the age for a gonad size of 150 sq. mm? Why or why not?

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Definitions:

Salmon

A species of fish that is known for its remarkable lifecycle, which includes freshwater birth, oceanic life, and returning to fresh water to spawn.

Upstream

In a metaphorical sense, upstream refers to actions or interventions taken at the early stages or causes of a problem, rather than addressing its consequences.

Primary Drive

Fundamental biological drives such as hunger, thirst, and sleep that are essential for survival.

Goal-Directed Behavior

Actions undertaken with the intention of achieving a specific outcome, reflecting the ability to identify, plan for, and realize objectives.