[Statistical Inference, Statistical Hypothesis Test, Regression Analysis]

· Normal Distribution

· Correlation (Pearson Correlation Coefficient)

· Statistical Significance (p-Value)

· Ordinary Least Squares



[Statistical Inference, Statistical Hypothesis Test, Regression Analysis]

· Multivariate Normal Distribution

· Test Statistic (F-Test, F-Distribution)


· Statistical Significance (p-Value)

· Regression Diagnostic (Partial Residual Plot, Q-Q Plot)

· Ordinary Least Squares

· Regression Evaluation Metrics (R Squared)

· Analysis of Variance

· Errors and Residuals (Studentized Residual)



[Regression Analysis]



· Regression Diagnostic (Partial Residual Plot, Q-Q Plot, Influential Observation, Cook's Distance)

· Errors and Residuals (Studentized Residual)


[Statistical Inference, Regression Analysis]

· Regression Diagnostic (Multicollinearity, Variance Inflation Factor)

· Goodness of Fit and Model Selection (Stepwise Regression, Akaike Information Criterion, Cross-Validation, Bayesian Information Criterion)

· Regression Evaluation Metrics (R Squared, RMSE)

· Regularized Least Squares (Lasso, Ridge)





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**Statistics 1 - [Significance Test, Method of Steepest Descent, Saddle Point Approximation]

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*Statistics 3 - [Statistical Hypothesis Test, Regression Analysis]