Question 3.5.5: Choosing a Model for Data The data in Table 3.6 indicate tha...

Choosing a Model for Data

The data in Table 3.6 indicate that between the ages of 1 and 11, the human brain does not grow linearly, or steadily. A scatter plot for the data is shown in Figure 3.25. What type of function would be a good choice for modeling the data?

Table 3.6 Growth of the Human Brain
Age Percentage of Adult Size Brain
1 30%
2 50%
4 78%
6 88%
8 92%
10 95%
11 99%
Source: Gerrig and Zimbardo, Psychology and Life, 18th Edition, Allyn and Bacon, 2008.
3.25
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Because the data in the scatter plot increase rapidly at first and then begin to level off a bit, the shape suggests that a logarithmic function is a good choice for modeling the data.

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