Statistics for Business

  1. Regression Analysis
    1. Simple Linear Regression
      1. The Regression Model
        1. Dependent Variable
          1. Independent Variable
            1. Linear Relationship
            2. Method of Least Squares
              1. Regression Line
                1. Slope Coefficient
                  1. Intercept
                    1. Calculation Methods
                    2. Measures of Variation
                      1. Total Sum of Squares
                        1. Regression Sum of Squares
                          1. Error Sum of Squares
                          2. Coefficient of Determination
                            1. R-Squared
                              1. Interpretation
                                1. Limitations
                                2. Standard Error of the Estimate
                                  1. Assumptions
                                    1. Linearity
                                      1. Independence
                                        1. Homoscedasticity
                                          1. Normality of Residuals
                                          2. Inference about Regression Parameters
                                            1. Hypothesis Testing for Slope
                                              1. Confidence Intervals for Slope
                                                1. Hypothesis Testing for Intercept
                                                2. Prediction
                                                  1. Point Predictions
                                                    1. Confidence Intervals for Mean Response
                                                      1. Prediction Intervals for Individual Response
                                                    2. Multiple Linear Regression
                                                      1. The Multiple Regression Model
                                                        1. Model Specification
                                                          1. Multiple Independent Variables
                                                          2. Interpreting Coefficients
                                                            1. Partial Effects
                                                              1. Holding Other Variables Constant
                                                              2. Coefficient of Multiple Determination
                                                                1. R-Squared
                                                                  1. Adjusted R-Squared
                                                                  2. Overall F-Test
                                                                    1. Testing Model Significance
                                                                    2. Individual t-Tests
                                                                      1. Testing Individual Coefficients
                                                                      2. Dummy Variables
                                                                        1. Coding Categorical Variables
                                                                          1. Interpretation
                                                                            1. Multiple Categories
                                                                          2. Model Building and Diagnostics
                                                                            1. Variable Selection
                                                                              1. Forward Selection
                                                                                1. Backward Elimination
                                                                                  1. Stepwise Regression
                                                                                  2. Multicollinearity
                                                                                    1. Detection Methods
                                                                                      1. Variance Inflation Factor
                                                                                        1. Remedies
                                                                                        2. Residual Analysis
                                                                                          1. Residual Plots
                                                                                            1. Checking Assumptions
                                                                                              1. Identifying Outliers
                                                                                              2. Model Validation
                                                                                                1. Cross-Validation
                                                                                                  1. Overfitting
                                                                                                    1. Underfitting

                                                                                                Previous

                                                                                                6. Statistical Inference: Hypothesis Testing

                                                                                                Go to top

                                                                                                Next

                                                                                                8. Time Series Analysis and Forecasting