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8: Linear Correlation and Regression
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8.1: Introduction to Bivariate Quantitative Data
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In this chapter we consider bivariate data, which for now consists of two quantitative variables for each individual. Our first interest is in summarizing such data in a way that is analogous to summarizing univariate (single variable) data.
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8.2: Linear Correlation
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In this section, we begin to assess the strength of a linear relationship through the use of scatter plots and Pearson's correlation coefficient.
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8.3: Introduction to Simple Linear Regression
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If there is a linear relationship, it seems appropriate to think that there is a linear function that models the relationship giving us deeper understanding of the relationship and allow us to extrapolate values that were not explicitly measured in our collection of the data. In essence, such a function would enable us to make predictions about cases that were not explicitly studied. This section develops the ideas of constructing a linear function that is the best fit for the data at hand.