ISYE 6414 Final Exam Review-with -2026-2027 7pages

Least Square Elimination (LSE) cannot be applied to GLM models. False - it is applicable but does not use data distribution information fully. In multiple linear regression with idd and equal variance, the least squares estimation of regression coefficients are always unbiased. True - the least squares estimates are BLUE (Best Linear Unbiased Estimates) in multiple linear regression. Maximum Likelihood Estimation is not applicable for simple linear regression and multiple linear regression. False - In SLR and MLR, the SLE and MLE are the same with normal idd data. The backward elimination requires a pre-set probability of type II error False - Type I error The first degree of freedom in the F distribution for any of the three procedures in stepwise is always equal to one. True MLE is used for the GLMs for handling complicated link function modeling in the X-Y relationship. True In the GLMs the link function cannot be a non linear regression. False - It can be linear, non linear, or parametric When the p-value of the slope estimate in the SLR is small the r-squared becomes smaller too. False - When P value is small, the model fits become more significant and R squared become larger. In GLMs the main reason one does not use LSE to estimate model parameters is the potential constrained in the parameters. False - The potential constraint in the parameters of GLMs is handled by the link function. The R-squared and adjusted R-squared are not appropriate model comparisons for non linear regression but are for linear regression models. TRUE - The underlying assumption of R-squared calculations is that you are fitting a linear model. The decision in using ANOVA table for testing whether a model is significant depends on the normal distribution of the response variable True When the data may not be normally distributed, AIC is more appropriate for variable selection than adjusted R-squared True The slope of a linear regression equation is an example of a correlation coefficient. False - the correlation coefficient is the r value. Will have the same + or - sign as the slope.