Most of us know that the regression line minimizes the sum of squared residuals, but most of us don’t know how our calculators actually produce a slope and intercept for a regression line. This session will provide an answer to the question “How did my calculator do that?” It turns out that our calculators and other software use vectors to compute regression equations. We will look at the vector basis of regression; a certain level of comfort with vectors will be assumed.
This session will provide an overview of three categories of students' ways of thinking about basic combinatorics problems. Some of these approaches came naturally to students, while others required students to build upon previous techniques. We will discuss how to guide students to develop these new, often more sophisticated, approaches.
Most of us know that the regression line minimizes the sum of squared residuals, but most of us don’t know how our calculators actually produce a slope and intercept for a regression line. This session will provide an answer to the question “How did my calculator do that?” It turns out that our calculators and other software use vectors to compute regression equations. We will look at the vector basis of regression; a certain level of comfort with vectors will be assumed.