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Exhibit 4-7
Golden-rumped elephant shrews have long flexible snouts, used to overturn leaf-litter where they find their food: millipedes, insects and spiders. These animals are among the approximately 10% of mammalian species that mate for life. Just why these mammals are monogamous is poorly understood, and one theory is that a monogamous male would have to defend less territory from intrusion by other males. The home range of an animal, i.e. that area over which they typically travel, is a function of diet and energy consumption of the animal. The energy consumption is, in turn, typically a function of the animal's size. In a recent study, investigators reasoned that if monogamy was related in some way to the home territory, this should be detectable by comparing these animals to other insect-eating mammals. Data were gathered on 27 similar species and are presented in the table below. After fitting a straight line model,
, significant curvature was detected in the residual plot, and two transformed models were chosen for further analysis: the power and exponential models. The computer output for these transformed models and the residual plots follow.
Residual Plot and Statistical Analysis - exponential model
Log Home Range vs. Weight
Log(H) = 0.250 + 0.000231 W Residual Plot and Statistical Analysis - Power model
Log Home Range vs. Log Weight
Log(H) = −1.601 + 0.893Log(W)
-Refer to Exhibit 4-7.
Generally speaking, which of the two models, power or exponential, is better at predicting the log (Home Range)? Provide statistical justification for your choice.
New Market
Refers to either a completely unexplored market sector or geographic area where a product, service, or business can expand.
Certain Environment
A specific or defined setting or context in which activities or operations occur.
Factual Information
Data or details that are true and can be verified through evidence or observation, as opposed to opinions or interpretations.
Intuitive Thinking
A cognitive process that involves making decisions or solving problems based on feelings and perceptions without explicit reasoning.
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