Statistics with R

  1. Simple Linear Regression
    1. Regression Concepts
      1. Dependent and Independent Variables
        1. Linear Relationships
          1. Prediction vs Explanation
          2. Simple Linear Regression Model
            1. Population Model
              1. Sample Model
                1. Error Term
                  1. Assumptions
                  2. Least Squares Estimation
                    1. Method of Least Squares
                      1. Regression Coefficients
                        1. Fitted Values
                          1. Residuals
                          2. Implementation in R
                            1. lm() Function
                              1. Model Formula Syntax
                                1. Model Objects
                                2. Interpreting Regression Output
                                  1. Coefficient Interpretation
                                    1. Intercept and Slope
                                      1. Standard Errors
                                        1. t-statistics
                                          1. p-values
                                          2. Assessing Model Fit
                                            1. R-squared
                                              1. Adjusted R-squared
                                                1. Residual Standard Error
                                                  1. F-statistic
                                                  2. Confidence and Prediction Intervals
                                                    1. Confidence Intervals for Coefficients
                                                      1. Confidence Intervals for Mean Response
                                                        1. Prediction Intervals for Individual Observations
                                                        2. Making Predictions
                                                          1. predict() Function
                                                            1. New Data Prediction
                                                              1. Extrapolation Concerns

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                                                            20. Correlation Analysis

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                                                            22. Regression Diagnostics