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ISYE 6414 Regression Modules 1-2 EXAM QUESTIONS AND CORRECT ANSWERS UPDATED FOR 2025/2026.

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Assuming that the data are normally distributed, under the simple linear model, the estimated variance has the following sampling distribution: Chi-squared with n-2 degrees of freedom. The fitted values are defined as? estimated regression coefficients. The regression line with parameters replaced with the The estimators fo the linear regression model are derived by? Minimizing the sum of squared differences between the observed and expected values of the response variable. The estimators for the regression coefficients are: of the data. The assumption of normality: Unbiased regardless of the distribution Is needed for the sampling distribution of the estimators of the regression coefficients and hence for inference. The estimated versus predicted regression line for a given x* The variability in the prediction comes from have the same expectation. the variability due to a new measurement and due to estimation. Residual analysis can only be used to assess uncorrelated errors.

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