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The idea that animals' brain mass and body mass are correlated makes intuitive sense: larger animals, after all, tend to have larger brains than their smaller cousins.
As the study explains, the general assumption for decades has been that the relationship between the body's and the brain's masses follows a relatively simple. However, this proposed relationship is hotly debated as it doesn't seem to apply to all species groups. The authors tested several different equations to construct this curve, and found that the one that fit best was a second-order polynomial – the sort of quadratic equation one tends to encounter in high school."as mammals increase in mass, the rate at which brain mass increases with body mass decreases". It thus predicts that very large animals have smaller brains than predicted by the linear model – which is exactly what the dataset shows.
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