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      • All explanatory variables are uncorrelated with the error term. Observations of the error term are uncorrelated with each other (no serial correlation). The error term has a constant variance (no heteroskedasticity). No explanatory variable is a perfect linear function of any other explanatory variables (no perfect multicollinearity).
      www.sfu.ca/~dsignori/buec333/lecture 14.pdf
  1. Feb 22, 2017 · In an OLS regression, the residuals (your estimates of the error or disturbance term) $\hat \varepsilon$ are indeed guaranteed to be uncorrelated with the predictor variables, assuming the regression contains an intercept term.

    • The regression model is linear in the coefficients and the error term. This assumption addresses the functional form of the model. In statistics, a regression model is linear when all terms in the model are either the constant or a parameter multiplied by an independent variable.
    • The error term has a population mean of zero. The error term accounts for the variation in the dependent variable that the independent variables do not explain.
    • All independent variables are uncorrelated with the error term. If an independent variable is correlated with the error term, we can use the independent variable to predict the error term, which violates the notion that the error term represents unpredictable random error.
    • Observations of the error term are uncorrelated with each other. One observation of the error term should not predict the next observation.
  2. May 25, 2022 · It is assumed that the explanatory variables are non-stochastic. If they are stochastic, they are uncorrelated with the error term. He doesn't claim that stochastic regressors are always exogenous in this passage.

  3. All explanatory variables are uncorrelated with the error term. Observations of the error term are uncorrelated with each other (no serial correlation). The error term has a constant variance (no heteroskedasticity). No explanatory variable is a perfect linear function of any other explanatory variables (no perfect multicollinearity).

  4. Jun 8, 2016 · One typically makes two assumptions: that the error is uncorrelated with the included explanatory variables (this screws up the coefficients) and that the errors from different observations are uncorrelated with each other (this screws up the standard errors). Which ones do you need explained? – dimitriy. Jun 8, 2016 at 20:36.

  5. Observations of the error term are uncorrelated with each other (no serial correlation). The error term has a constant variance (no heteroskedasticity). No explanatory variable is a perfect linear function of any other explanatory variables (no perfect multicollinearity).

  6. The measurement error in the explanatory variable has mean zero, is uncorre- lated with the true dependent and independent variables and with the equation error.

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