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. |

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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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