Concept explainers
Which type of function best models Is the data in each table? Use differences or ratios.
To find : Which type of function best model the given data, use differences or ratio.
Answer to Problem 11P
Exponential model is the most appropriate model.
Explanation of Solution
Given information :
The given table value is
Calculation :
To find the type of model from the given set of data use the followings:
- If the first difference of the y values is common, then linear model fits the data
- If the second difference of the y values is common, then quadratic model fit the data.
- If the y values have the common ratio, then an exponential model fits he data.
For the given set of data, find the find difference of the y values:
Since, the first differences is not common, so find the second differences
Since, the second differences are also not common, so find the ratio of the y values.
Since, y values have the common ratio. Therefore, exponential model is the most appropriate model
Hence,
Exponential model is the most appropriate model.
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