Define and explain with example:
a. Absolute error
b. Mean absolute error
c. Relative error
d. Percentage error
Answers
Answer:
a) The approximation error in some data is the discrepancy between an exact value and some approximation to it. An approximation error can occur because: the measurement of the data is not precise due to the instruments. or approximations are used instead of the real data.
b) In statistics, mean absolute error is a measure of errors between paired observations expressing the same phenomenon. Examples of Y versus X include comparisons of predicted versus observed, subsequent time versus initial time, and one technique of measurement versus an alternative technique of measurement.
c) Relative error is defined as the absolute error relative to the size of the measurement, and it depends on both the absolute error and the measured value. The relative error is large when the measured value is small, or when the absolute error is large. Relative error has no units.
d) To calculate percentage error, you subtract the actual number from the estimated number to find the error. Then, you divide the error in absolute value by the actual number in absolute value. This gives you the error in a decimal format. From there, you can multiply by 100% to find the percentage error.
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Explanation:
Absolute Error. The difference between the measured or inferred value of a quantity and its actual value , given by. (sometimes with the absolute value taken) is called the absolute error. The absolute error of the sum or difference of a number of quantities is less than or equal to the sum of their absolute errors
mean absolute error (MAE) is a measure of errors between paired observations expressing the same phenomenon. Examples of Y versus X include comparisons of predicted versus observed, subsequent time versus initial time, and one technique of measurement versus an alternative technique of measurement.
The approximation error in some data is the discrepancy between an exact value and some approximation to it. An approximation error can occur because: the measurement of the data is not precise due to the instruments. or approximations are used instead of the real data
, the mean percentage error (MPE) is the computed average of percentage errors by which forecasts of a model differ from actual values of the quantity being forecast