1. Scatterplots and Correlation
- Recognizing positive, negative, and no correlation.
- Identifying patterns in data and their significance.
- Estimating a trend line (line of best fit).
- Calculating differences between actual and predicted values.
2. Regression Models
- Distinguishing between linear and nonlinear relationships.
- Recognizing quadratic and exponential trends.
- Using equations to estimate values (interpolation).
- Understanding the slope and intercept in context.
- Selecting the correct equation based on a graph (linear, quadratic, exponential).
3. Rate of Change and Extrapolation
- Identifying and interpreting the slope of a trend line.
- Predicting future trends using models.
- Finding intervals of greatest increase or decrease.
- Interpreting slope and y-intercept.
4. Real-World Applications
- Analyzing scientific and business data relationships (e.g., temperature vs. sales).
- Comparing data sets to choose the best model.
- Using residuals to assess model fit.
- Choosing a best-fit line that has values above and below, and a consistent distance from points.
- Interpreting data (e.g., identifying the year with the lowest sales).