the residual is the difference between the observed Y and the estimated regression line(Y), while the error term is the difference between the observed Y and the true regression equation (the expected value of Y). Error term is theoretical concept that can never be observed, but the residual is a real-world value that is calculated for each observation every time a regression is run. The reidual can be thought of as an estimate of the error term, and e could have been denoted as ^e.
There is no difference.
There is no difference.
The difference between low percent error and high percent error is one is low and the other is high
Bias is systematic error. Random error is not.
they are the same thing.
A stochastic error indicates an error that is random between measurements. Stochastics typically occur through the sum of many random errors.
Mathematical model is exact in nature.it has Beta zero and Beta one and no stochastic or disturbance variables. Econometric model represents omitted variable, error in measurement and stochastic variables.
In a statistical model, variations in the dependent variable can be attributed to independent variables. However, there is a random element that is not accounted for and this is the stochastic error.
There is no difference.
There is no difference.
The difference between low percent error and high percent error is one is low and the other is high
Bias is systematic error. Random error is not.
It would help to know the standard error of the difference between what elements.
A Stochastic error term is a term that is added to a regression equation to introduce all of the variation in Y that cannot be explained by the included Xs. It is, in effect, a symbol of the econometrician's ignorance or inability to model all the movements of the dependent variable.
they are the same thing.
Regression analysis is based on the assumption that the dependent variable is distributed according some function of the independent variables together with independent identically distributed random errors. If the error terms were not stochastic then some of the properties of the regression analysis are not valid.
Half of the difference between the two positions is called the "index error".