5 Linear Regression and Correlation Analysis
5.1 Correlation
5.2 Scatter diagram
5.3 Calculation of Correlation Coefficient
5.3.1 Pearson Product-Moment Correlation Coefficient
5.3.2 Spearman’s Rank Correlation Coefficient
5.4 Linear Regression
5.4.1 The Method of Least Squares
5.5 Inference for the Regression Line
5.5.1 Partitioning the variation
5.5.2 The coefficient of determination
5.5.3 The ANOVA table for regression
5.5.4 Testing and estimating the slope
5.5.5 Estimating A Value for \(\sigma ^2_{Y/X}\)
5.5.6 Confidence Limit For \(\beta \)
5.2 Scatter diagram
5.3 Calculation of Correlation Coefficient
5.3.1 Pearson Product-Moment Correlation Coefficient
5.3.2 Spearman’s Rank Correlation Coefficient
5.4 Linear Regression
5.4.1 The Method of Least Squares
5.5 Inference for the Regression Line
5.5.1 Partitioning the variation
5.5.2 The coefficient of determination
5.5.3 The ANOVA table for regression
5.5.4 Testing and estimating the slope
5.5.5 Estimating A Value for \(\sigma ^2_{Y/X}\)
5.5.6 Confidence Limit For \(\beta \)
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