math215 Lecture Notes - Lecture 6: Confidence Interval, Prediction Interval, Air Pollution Index
Document Summary
In unit 5, we considered tests of independence used to examine the relationship between two qualitative (categorical) variables. This unit focuses on bivariate analysis, which typically results in statistical inferences about the relationship between two quantitative variables. Unit 6 describes two methods of analysing bivariate data, regression analysis and correlation analysis. In our discussion of regression analysis, we examine the simple linear regression model, where the estimated relation between two variables takes the form of a linear equation. The regression equation is often used to predict one variable (dependent variable) based on the values of the other variable (independent variable). In addition, the regression equation can be used to estimate the magnitude of change in the dependent variable resulting from a given change in the independent variable. The method known as correlation analysis simply focuses on the strength of the linear relationship between two variables.