Section 1.1: Relations Between Variables

1. Explain the difference between a functional relationship and a statistical relationship between two variables.
2. State examples of functional relationships from the physical sciences, and posit statistical relationships from the social and biological sciences.
3. Interpret a scatter plot showing the association between two variables.

Section 1.2: Regression Models and Their Uses

1. State the two key components of a regression model.
2. Recognize the terminology predictor and response, and given a statistical relationship, identify which variable is the predictor and which variable is the response.
3. State the three main uses of a regression model.
4. Recognize that prediction of \(Y\) using \(X\) does not indicate that \(X\) causes \(Y\).

Section 1.4: Data for Regression Analysis

1. Distinguish between a population and a sample from that population.
2. Identify the two main sources of uncertainty associated with any inference from a sample to a population.

Lines of Best Fit (Portion of Section 1.3)

1. State the functional form a line of best fit.
2. Interpret the slope and intercept of a line of best fit in the context of a particular regression problem as they relate to prediction.