define relative error and percentage error of the variable 'y'
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The relative error is the absolute error divided by the magnitude of the exact value. The percent error is the relative error expressed in terms of per 100.
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Relative Error Of The Variable 'y'
- The relative error of the variable 'y' is the difference between the "true" value and the approximation, relative to the size of the true value.
- Relative error of a variable 'y' is the difference between the absolute error and the magnitude of the variable itself, expressed as a fraction of the magnitude of the variable.
- It is calculated by: (true value - approximation)/(true value).
Percentage Error Of The Variable 'y'
- The percentage error of the variable 'y' is the difference between the "true" value and the approximation, relative to the size of the true value, expressed as a percentage.
- Percentage error of a variable 'y' is the relative error multiplied by 100. It represents the error as a percentage of the actual value.
- It is calculated by: (true value - approximation)/(true value)×100%.
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