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Define Error Term

It can be defined as a variable in a statistical and/or mathematical model, which is produced when the model does not fully represent the actual relationship between the independent variable(s) and the dependent variable. As a result of this unfinished relationship, it can be defined as the amount at which the equation may differ during empirical analysis. So it is also known as the "residual" or the "remainder" term.

Error Term Statistics Assignment Help

It is used to describe the margin of error which exists in a statistical as well as a mathematical model and this is created when a model does not precisely depict the relationship between different types of variables.   The actual result will vary from that depicted in the model due to outside factor which is also called residual or remainder term.

It essentially means that the model will not be completely accurate and so it will result in different results in real-world applications. In the context of regression equations, it is defined as the difference between the actual value of the independent variable and the value predicted by the regression equation.

For normal least squares regressions, this is normally distributed.  It is the sum of the deviations of each actual observation from a model regression line as follows 

Y = B0 + B1X1 + B2X2 + ... + BnXn + e, where e is defined as the error term.

Error Term Statistics Homework Help

In basic statistics, it is the likelihood of making an incorrect assumption that is based on the test and an error term is a term in a model regression equation that tallies up and accounts for the unexplained difference between the actually observed values of the independent variable. 

The results are predicted by the model and so this is considered a measure of how accurately the regression model reflects the actual relationship between the independent as well as dependent variables. This indicates that either the model can be improved by adding in another independent variable that explains some or all of the difference, or by randomness which means that the dependent, as well as the independent variable, are not correlated to any greater degree.

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